Nobushige Kurokawa - Author Profile

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Kurokawa, Nobushige

Author ID:	kurokawa.nobushige
Published as:	Kurokawa, Nobushige; Kurokawa, N.
External Links:	MGP · Wikidata · GND · IdRef

Documents Indexed:	135 Publications since 1978, including 3 Books and 7 Additional arXiv Preprints
	1 Contribution as Editor · 2 Further Contributions
Co-Authors:	32 Co-Authors with 100 Joint Publications
	409 Co-Co-Authors

all top 5

Co-Authors

36	single-authored
43	Wakayama, Masato
25	Koyama, Shin-ya
15	Ochiai, Hiroyuki
11	Tanaka, Hidekazu
3	Kimoto, Kazufumi
3	Saito, Takeshi
2	Deitmar, Anton
2	Hirano, Miki
2	Kato, Kazuya
2	Sonoki, Chie
2	Taguchi, Yuichiro
2	Yamasaki, Yoshinori
1	Andronikof, Emmanuel
1	Enomoto, Hikoe
1	Gon, Yasuro
1	Haran, Shai
1	Hashimoto, Yasufumi
1	Hitotumatu, Sin
1	Iijima, Yasuyuki
1	Kaneko, Ikuya
1	Kaneko, Masanobu
1	Kawai, Takahiro
1	Kim, Sojung
1	Kimura, Taro
1	Kimura, Tatsuo
1	Kurihara, Masato
1	Kuroyama, Hitodakari
1	Lalín, Matilde Noemí
1	Matsumoto, Sho
1	Mimachi, Katsuhisa
1	Miwa, Tetsuji
1	Mizumoto, Shin-ichiro
1	Müller-Stüler, Eva-Marie
1	Nakagami, Yoshiomi
1	Namba, Kanji
1	Noumi, Masatoshi
1	Oyanagi, Hideo
1	Sasaki, Ryo
1	Satoh, Takakazu
1	Sogawa, Harue
1	Sugiura, Mitsuo
1	Sunada, Toshikazu
1	Suzuki, Haruo
1	Takai, Hiroshi
1	Takasaki, Kanehisa
1	Takei, Yoshitsugu
1	Tanuma, Hideki
1	Ueno, Kenji
1	Watatani, Yasuo
1	Yamagami, Shigeru

all top 5

Serials

34	Proceedings of the Japan Academy. Series A
10	Journal of the Ramanujan Mathematical Society
9	Kodai Mathematical Journal
7	Journal of Number Theory
6	Kyushu Journal of Mathematics
4	Rendiconti del Circolo Matemàtico di Palermo. Serie II
4	International Journal of Mathematics
3	Acta Arithmetica
3	Commentarii Mathematici Universitatis Sancti Pauli
3	Translations of Mathematical Monographs
2	Letters in Mathematical Physics
2	Journal of Geometry and Physics
2	Proceedings of the American Mathematical Society
2	Proceedings of the Edinburgh Mathematical Society. Series II
2	Proceedings of the London Mathematical Society. Third Series
2	Acta Applicandae Mathematicae
2	Forum Mathematicum
2	IMRN. International Mathematics Research Notices
2	Indagationes Mathematicae. New Series
2	The Ramanujan Journal
1	Communications in Mathematical Physics
1	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1	Compositio Mathematica
1	Czechoslovak Mathematical Journal
1	Functiones et Approximatio. Commentarii Mathematici
1	Inventiones Mathematicae
1	Journal of the Mathematical Society of Japan
1	Monatshefte für Mathematik
1	Rendiconti del Seminario Matematico della Università di Padova
1	Tokyo Journal of Mathematics
1	Experimental Mathematics
1	Bulletin of the Belgian Mathematical Society - Simon Stevin
1	Documenta Mathematica
1	RIMS Kokyuroku
1	Advanced Studies in Pure Mathematics
1	RIMS Kôkyûroku Bessatsu
1	RIMS Kokyuroku

all top 5

Fields

125	Number theory (11-XX)
22	Special functions (33-XX)
15	Algebraic geometry (14-XX)
6	Quantum theory (81-XX)
5	Global analysis, analysis on manifolds (58-XX)
4	Functions of a complex variable (30-XX)
3	Category theory; homological algebra (18-XX)
3	Dynamical systems and ergodic theory (37-XX)
2	General and overarching topics; collections (00-XX)
2	Combinatorics (05-XX)
2	Commutative algebra (13-XX)
2	Group theory and generalizations (20-XX)
2	Topological groups, Lie groups (22-XX)
2	Abstract harmonic analysis (43-XX)
1	History and biography (01-XX)
1	Field theory and polynomials (12-XX)
1	Associative rings and algebras (16-XX)
1	Nonassociative rings and algebras (17-XX)
1	Functional analysis (46-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

103 Publications have been cited 849 times in 452 Documents	Cited by ▼	Year ▼
Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya	68	2003
Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Zbl 0397.10018 Kurokawa, Nobushige	66	1978
A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053 Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato	43	2003
Multiple sine functions and Selberg zeta functions. Zbl 0738.11041 Kurokawa, Nobushige	39	1991
Multiple zeta functions: An example. Zbl 0795.11037 Kurokawa, Nobushige	34	1992
Gamma factors and Plancherel measures. Zbl 0797.11053 Kurokawa, Nobushige	30	1992
Congruences between Siegel modular forms of degree two. Zbl 0454.10016 Kurokawa, Nobushige	26	1979
On Siegel eigenforms. Zbl 0482.10025 Kurokawa, Nobushige	24	1981
On the meromorphy of Euler products. I. Zbl 0595.10031 Kurokawa, Nobushige	19	1986
Parabolic components of zeta functions. Zbl 0642.10028 Kurokawa, Nobushige	18	1988
On Eisenstein series for Siegel modular groups. Zbl 0482.10026 Kurokawa, Nobushige	17	1981
Zeta functions over \(\mathbb F_1\). Zbl 1141.11316 Kurokawa, Nobushige	17	2005
Absolute derivations and zeta functions. Zbl 1101.11325 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	16	2003
Higher Mahler measures and zeta functions. Zbl 1211.11116 Kurokawa, N.; Lalín, M.; Ochiai, H.	14	2008
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato	13	2004
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045 Kurokawa, Nobushige; Wakayama, Masato	13	2005
Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi	13	2011
On Eisenstein series of degree two. Zbl 0482.10028 Kurokawa, Nobushige; Mizumoto, Shin-ichiro	12	1981
Higher Selberg zeta functions. Zbl 1060.11050 Kurokawa, Nobushige; Wakayama, Masato	11	2004
Special values of Selberg zeta functions. Zbl 0684.10038 Kurokawa, Nobushige	11	1989
On Eisenstein series for Siegel modular groups. II. Zbl 0496.10015 Kurokawa, Nobushige	10	1981
Zeta functions and normalized multiple sine functions. Zbl 1091.11030 Koyama, Shin-Ya; Kurokawa, Nobushige	10	2005
Values of the double sine function. Zbl 1160.11044 Koyama, Shin-Ya; Kurokawa, Nobushige	10	2007
Casimir effects on Riemann surfaces. Zbl 1027.81026 Kurokawa, Nobushige; Wakayama, Masato	10	2002
On the meromorphy of Euler products. II. Zbl 0609.10020 Kurokawa, Nobushige	9	1986
Congruences between Siegel modular forms of degree two. II. Zbl 0482.10027 Kurokawa, Nobushige	9	1981
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022 Kurokawa, Nobushige; Wakayama, Masato	9	2004
Kummer’s formula for multiple gamma functions. Zbl 1049.11098 Koyama, Shin-ya; Kurokawa, Nobushige	9	2003
Multiple trigonometry and zeta functions. Zbl 0995.11054 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	9	2002
Absolute tensor products. Zbl 1086.11041 Kurokawa, Nobushige; Wakayama, Masato	9	2004
Zeros of Witten zeta functions and absolute limit. Zbl 1353.11097 Kurokawa, Nobushige; Ochiai, Hiroyuki	9	2013
Mahler measures via the crystalization. Zbl 1091.11036 Kurokawa, Nobushige; Ochiai, Hiroyuki	8	2005
On the meromorphy of Euler products. Zbl 0425.12011 Kurokawa, Nobushige	8	1978
Dualities for absolute zeta functions and multiple gamma functions. Zbl 1373.11063 Kurokawa, Nobushige; Ochiai, Hiroyuki	8	2013
A multivariable Euler product of Igusa type and its applications. Zbl 1176.11065 Kurokawa, Nobushige; Ochiai, Hiroyuki	7	2009
Multiple zeta functions: the double sine function and the signed double Poisson summation formula. Zbl 1135.11329 Koyama, Shin-ya; Kurokawa, Nobushige	7	2004
On Linnik’s problem. Zbl 0409.12019 Kurokawa, Nobushige	7	1978
On \(\zeta(3)\). Zbl 1014.11049 Kurokawa, Nobushige; Wakayama, Masato	7	2001
Absolute zeta functions and the automorphy. Zbl 1390.14067 Kurokawa, Nobushige; Tanaka, Hidekazu	7	2017
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi	6	2000
Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato	6	2008
Zeta regularizations. Zbl 1054.11044 Kurokawa, Nobushige; Wakayama, Masato	6	2004
On certain Euler products. Zbl 0616.10034 Kurokawa, N.	6	1987
Analyticity of Dirichlet series over prime powers. Zbl 0707.11063 Kurokawa, Nobushige	6	1990
Generalized Kinkelin’s formulas. Zbl 1165.33300 Kurokawa, Nobushige; Ochiai, Hiroyuki	6	2007
On \(q\)-basic multiple gamma functions. Zbl 1052.33015 Kurokawa, Nobushige; Wakayama, Masato	6	2003
Extremal values of double and triple trigonometric functions. Zbl 1058.33001 Kurokawa, Nobushige; Wakayama, Masato	6	2004
Derivatives of multiple sine functions. Zbl 1061.11047 Kurokawa, Nobushige	6	2004
On some Euler products. I. Zbl 0559.12009 Kurokawa, Nobushige	5	1984
Zeta extensions. Zbl 1015.11043 Kurokawa, Nobushige; Wakayama, Masato	5	2002
Half zeta functions. Zbl 1057.11041 Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato	5	2003
Absolute zeta functions and absolute automorphic forms. Zbl 1416.11137 Kurokawa, Nobushige; Tanaka, Hidekazu	5	2018
A generalization of Lerch’s formula. Zbl 1114.11074 Kurokawa, Nobushige; Wakayama, Masato	4	2004
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065 Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori	4	2013
Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige	4	2008
Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato	4	2003
Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige	4	2008
Multiple finite Riemann zeta functions. Zbl 1074.11049 Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato	4	2005
Euler products beyond the boundary. Zbl 1288.11083 Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige	4	2014
Euler’s integrals and multiple sine functions. Zbl 1069.11035 Koyama, Shin-ya; Kurokawa, Nobushige	4	2005
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001 Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi	4	2012
Duplication formulas in triple trigonometry. Zbl 1044.33010 Kurokawa, Nobushige; Wakayama, Masato	3	2003
Multiple \(q\)-Mahler measures and zeta functions. Zbl 1127.11061 Gon, Yasuro; Kurokawa, Nobushige; Oyanagi, Hideo	3	2007
Limit values of Eisenstein series and multiple cotangent functions. Zbl 1168.11032 Kurokawa, Nobushige	3	2008
Quantum deformations of Catalan’s constant, Mahler’s measure and the Hölder-Shintani double sine function. Zbl 1169.11037 Kurokawa, Nobushige	3	2006
Milnor’s multiple gamma functions. Zbl 1189.11043 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	3	2006
On some Euler products. II. Zbl 0577.12009 Kurokawa, Nobushige	3	1984
Normalized double sine functions. Zbl 1114.11076 Kurokawa, Nobushige; Koyama, Shin-ya	3	2003
Counting and zeta functions over \({\mathbb F}_1\). Zbl 1320.11057 Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige	3	2015
Zeta functions of categories. Zbl 0880.11063 Kurokawa, Nobushige	3	1996
A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato	2	2005
String theories and prime number theories. Zbl 0633.58029 Kurokawa, Nobushige	2	1986
Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307 Kurokawa, Nobushige; Wakayama, Masato	2	2003
Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato	2	2005
Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115 Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato	2	2007
Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120 Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato	2	2007
Euclid prime sequences over unique factorization domains. Zbl 1216.11107 Kurokawa, Nobushige; Satoh, Takakazu	2	2008
Some examples of generalized zeta regularized products. Zbl 1090.11053 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato	2	2004
Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066 Kurokawa, Nobushige; Wakayama, Masato	2	2004
Analyticity of polylogarithmic Euler products. Zbl 1097.11046 Wakayama, Masato; Kurokawa, Nobushige	2	2003
Multiple sine functions. Zbl 1074.11515 Kurokawa, Nobushige	2	1993
Limit formulas for multiple Hurwitz zeta functions. Zbl 1444.11187 Kurokawa, Nobushige; Tanaka, Hidekazu	2	2018
Chebyshev’s bias for Ramanujan’s \(\tau\)-function via the deep Riemann hypothesis. Zbl 1496.11122 Koyama, Shin-Ya; Kurokawa, Nobushige	2	2022
Triple mean values of Witten \(L\)-functions. Zbl 1398.11118 Koyama, Shin-ya; Kurokawa, Nobushige	1	2016
Zeta functions in geometry. Zbl 0771.00036	1	1992
The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\). Zbl 1275.11125 Kim, Sojung; Koyama, Shin-ya; Kurokawa, Nobushige	1	2009
Zeta functions of analytic rings via Euler products. Zbl 0603.58027 Kurokawa, Nobushige	1	1986
Values of absolute tensor products. Zbl 1141.11317 Kurokawa, Nobushige	1	2005
Special values of Euler products and Hardy-Littlewood constants. Zbl 0588.10040 Kurokawa, Nobushige	1	1986
On an Euler product ring. Zbl 0599.12010 Kurokawa, Nobushige	1	1985
A \(p\)-analogue of Euler’s constant and congruence zeta functions. Zbl 1429.11173 Kurokawa, Nobushige; Taguchi, Yuichiro	1	2018
Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044 Kurokawa, Nobushige; Wakayama, Masato	1	2005
Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041 Kurokawa, Nobushige; Wakayama, Masato	1	2006
The central value of the triple sine function. Zbl 1191.11024 Kurokawa, Nobushige	1	2009
Zeta functions and Casimir energies on infinite symmetric groups. Zbl 1243.11091 Kurokawa, Nobushige; Ochiai, Hiroyuki	1	2007
Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato	1	2004
Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079 Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato	1	2002
A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062 Kurokawa, Nobushige; Wakayama, Masato	1	2003
Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies. Zbl 1268.11132 Koyama, Shin-ya; Kurokawa, Nobushige	1	2010
Absolute Frobenius operators. Zbl 1077.11063 Kurokawa, Nobushige	1	2004
Chebyshev’s bias for Ramanujan’s \(\tau\)-function via the deep Riemann hypothesis. Zbl 1496.11122 Koyama, Shin-Ya; Kurokawa, Nobushige	2	2022
Absolute zeta functions and absolute automorphic forms. Zbl 1416.11137 Kurokawa, Nobushige; Tanaka, Hidekazu	5	2018
Limit formulas for multiple Hurwitz zeta functions. Zbl 1444.11187 Kurokawa, Nobushige; Tanaka, Hidekazu	2	2018
A \(p\)-analogue of Euler’s constant and congruence zeta functions. Zbl 1429.11173 Kurokawa, Nobushige; Taguchi, Yuichiro	1	2018
Absolute zeta functions and the automorphy. Zbl 1390.14067 Kurokawa, Nobushige; Tanaka, Hidekazu	7	2017
Triple mean values of Witten \(L\)-functions. Zbl 1398.11118 Koyama, Shin-ya; Kurokawa, Nobushige	1	2016
Counting and zeta functions over \({\mathbb F}_1\). Zbl 1320.11057 Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige	3	2015
Euler products beyond the boundary. Zbl 1288.11083 Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige	4	2014
Zeros of Witten zeta functions and absolute limit. Zbl 1353.11097 Kurokawa, Nobushige; Ochiai, Hiroyuki	9	2013
Dualities for absolute zeta functions and multiple gamma functions. Zbl 1373.11063 Kurokawa, Nobushige; Ochiai, Hiroyuki	8	2013
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065 Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori	4	2013
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001 Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi	4	2012
Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi	13	2011
Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies. Zbl 1268.11132 Koyama, Shin-ya; Kurokawa, Nobushige	1	2010
A multivariable Euler product of Igusa type and its applications. Zbl 1176.11065 Kurokawa, Nobushige; Ochiai, Hiroyuki	7	2009
The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\). Zbl 1275.11125 Kim, Sojung; Koyama, Shin-ya; Kurokawa, Nobushige	1	2009
The central value of the triple sine function. Zbl 1191.11024 Kurokawa, Nobushige	1	2009
Higher Mahler measures and zeta functions. Zbl 1211.11116 Kurokawa, N.; Lalín, M.; Ochiai, H.	14	2008
Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato	6	2008
Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige	4	2008
Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige	4	2008
Limit values of Eisenstein series and multiple cotangent functions. Zbl 1168.11032 Kurokawa, Nobushige	3	2008
Euclid prime sequences over unique factorization domains. Zbl 1216.11107 Kurokawa, Nobushige; Satoh, Takakazu	2	2008
Values of the double sine function. Zbl 1160.11044 Koyama, Shin-Ya; Kurokawa, Nobushige	10	2007
Generalized Kinkelin’s formulas. Zbl 1165.33300 Kurokawa, Nobushige; Ochiai, Hiroyuki	6	2007
Multiple \(q\)-Mahler measures and zeta functions. Zbl 1127.11061 Gon, Yasuro; Kurokawa, Nobushige; Oyanagi, Hideo	3	2007
Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115 Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato	2	2007
Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120 Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato	2	2007
Zeta functions and Casimir energies on infinite symmetric groups. Zbl 1243.11091 Kurokawa, Nobushige; Ochiai, Hiroyuki	1	2007
Quantum deformations of Catalan’s constant, Mahler’s measure and the Hölder-Shintani double sine function. Zbl 1169.11037 Kurokawa, Nobushige	3	2006
Milnor’s multiple gamma functions. Zbl 1189.11043 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	3	2006
Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041 Kurokawa, Nobushige; Wakayama, Masato	1	2006
Zeta functions over \(\mathbb F_1\). Zbl 1141.11316 Kurokawa, Nobushige	17	2005
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045 Kurokawa, Nobushige; Wakayama, Masato	13	2005
Zeta functions and normalized multiple sine functions. Zbl 1091.11030 Koyama, Shin-Ya; Kurokawa, Nobushige	10	2005
Mahler measures via the crystalization. Zbl 1091.11036 Kurokawa, Nobushige; Ochiai, Hiroyuki	8	2005
Multiple finite Riemann zeta functions. Zbl 1074.11049 Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato	4	2005
Euler’s integrals and multiple sine functions. Zbl 1069.11035 Koyama, Shin-ya; Kurokawa, Nobushige	4	2005
A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato	2	2005
Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato	2	2005
Values of absolute tensor products. Zbl 1141.11317 Kurokawa, Nobushige	1	2005
Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044 Kurokawa, Nobushige; Wakayama, Masato	1	2005
Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375 Kurokawa, Nobushige; Wakayama, Masato	1	2005
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato	13	2004
Higher Selberg zeta functions. Zbl 1060.11050 Kurokawa, Nobushige; Wakayama, Masato	11	2004
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022 Kurokawa, Nobushige; Wakayama, Masato	9	2004
Absolute tensor products. Zbl 1086.11041 Kurokawa, Nobushige; Wakayama, Masato	9	2004
Multiple zeta functions: the double sine function and the signed double Poisson summation formula. Zbl 1135.11329 Koyama, Shin-ya; Kurokawa, Nobushige	7	2004
Zeta regularizations. Zbl 1054.11044 Kurokawa, Nobushige; Wakayama, Masato	6	2004
Extremal values of double and triple trigonometric functions. Zbl 1058.33001 Kurokawa, Nobushige; Wakayama, Masato	6	2004
Derivatives of multiple sine functions. Zbl 1061.11047 Kurokawa, Nobushige	6	2004
A generalization of Lerch’s formula. Zbl 1114.11074 Kurokawa, Nobushige; Wakayama, Masato	4	2004
Some examples of generalized zeta regularized products. Zbl 1090.11053 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato	2	2004
Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066 Kurokawa, Nobushige; Wakayama, Masato	2	2004
Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato	1	2004
Absolute Frobenius operators. Zbl 1077.11063 Kurokawa, Nobushige	1	2004
A \(q\)-Mahler measure. Zbl 1060.11068 Kurokawa, Nobushige	1	2004
Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya	68	2003
A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053 Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato	43	2003
Absolute derivations and zeta functions. Zbl 1101.11325 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	16	2003
Kummer’s formula for multiple gamma functions. Zbl 1049.11098 Koyama, Shin-ya; Kurokawa, Nobushige	9	2003
On \(q\)-basic multiple gamma functions. Zbl 1052.33015 Kurokawa, Nobushige; Wakayama, Masato	6	2003
Half zeta functions. Zbl 1057.11041 Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato	5	2003
Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato	4	2003
Duplication formulas in triple trigonometry. Zbl 1044.33010 Kurokawa, Nobushige; Wakayama, Masato	3	2003
Normalized double sine functions. Zbl 1114.11076 Kurokawa, Nobushige; Koyama, Shin-ya	3	2003
Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307 Kurokawa, Nobushige; Wakayama, Masato	2	2003
Analyticity of polylogarithmic Euler products. Zbl 1097.11046 Wakayama, Masato; Kurokawa, Nobushige	2	2003
A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062 Kurokawa, Nobushige; Wakayama, Masato	1	2003
Casimir effects on Riemann surfaces. Zbl 1027.81026 Kurokawa, Nobushige; Wakayama, Masato	10	2002
Multiple trigonometry and zeta functions. Zbl 0995.11054 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato	9	2002
Zeta extensions. Zbl 1015.11043 Kurokawa, Nobushige; Wakayama, Masato	5	2002
Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079 Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato	1	2002
On \(\zeta(3)\). Zbl 1014.11049 Kurokawa, Nobushige; Wakayama, Masato	7	2001
Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi	6	2000
A formula for the multiplicity of the principal series in \(L^2(\Gamma\backslash G)\). Zbl 0959.11021 Kurokawa, Nobushige; Kuroyama, Hitodakari; Wakayama, Masato	1	2000
Zeta functions of categories. Zbl 0880.11063 Kurokawa, Nobushige	3	1996
Multiple sine functions. Zbl 1074.11515 Kurokawa, Nobushige	2	1993
Multiple zeta functions: An example. Zbl 0795.11037 Kurokawa, Nobushige	34	1992
Gamma factors and Plancherel measures. Zbl 0797.11053 Kurokawa, Nobushige	30	1992
Zeta functions in geometry. Zbl 0771.00036	1	1992
Multiple sine functions and Selberg zeta functions. Zbl 0738.11041 Kurokawa, Nobushige	39	1991
Analyticity of Dirichlet series over prime powers. Zbl 0707.11063 Kurokawa, Nobushige	6	1990
Special values of Selberg zeta functions. Zbl 0684.10038 Kurokawa, Nobushige	11	1989
Parabolic components of zeta functions. Zbl 0642.10028 Kurokawa, Nobushige	18	1988
On certain Euler products. Zbl 0616.10034 Kurokawa, N.	6	1987
On the meromorphy of Euler products. I. Zbl 0595.10031 Kurokawa, Nobushige	19	1986
On the meromorphy of Euler products. II. Zbl 0609.10020 Kurokawa, Nobushige	9	1986
String theories and prime number theories. Zbl 0633.58029 Kurokawa, Nobushige	2	1986
Zeta functions of analytic rings via Euler products. Zbl 0603.58027 Kurokawa, Nobushige	1	1986
Special values of Euler products and Hardy-Littlewood constants. Zbl 0588.10040 Kurokawa, Nobushige	1	1986
On an Euler product ring. Zbl 0599.12010 Kurokawa, Nobushige	1	1985
On some Euler products. I. Zbl 0559.12009 Kurokawa, Nobushige	5	1984
On some Euler products. II. Zbl 0577.12009 Kurokawa, Nobushige	3	1984
On Siegel eigenforms. Zbl 0482.10025 Kurokawa, Nobushige	24	1981
On Eisenstein series for Siegel modular groups. Zbl 0482.10026 Kurokawa, Nobushige	17	1981
On Eisenstein series of degree two. Zbl 0482.10028 Kurokawa, Nobushige; Mizumoto, Shin-ichiro	12	1981
On Eisenstein series for Siegel modular groups. II. Zbl 0496.10015 Kurokawa, Nobushige	10	1981
Congruences between Siegel modular forms of degree two. II. Zbl 0482.10027 Kurokawa, Nobushige	9	1981
Congruences between Siegel modular forms of degree two. Zbl 0454.10016 Kurokawa, Nobushige	26	1979
...and 3 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 419 Authors

64	Kurokawa, Nobushige
26	Wakayama, Masato
21	Koyama, Shin-ya
17	Mizumoto, Shin-ichiro
9	Onodera, Kazuhiro
8	Tanaka, Hidekazu
7	Connes, Alain
7	Yamasaki, Yoshinori
6	Gon, Yasuro
6	Lorscheid, Oliver
5	Dummigan, Neil
5	Pitale, Ameya
4	Borwein, Jonathan Michael
4	Consani, Caterina
4	Deitmar, Anton
4	Derkachëv, Sergeĭ Èduardovich
4	Fomenko, Oleg Mstislavovich
4	Heim, Bernhard Ernst
4	Kharchev, Sergey
4	Khoroshkin, Sergey M.
4	Kim, Minsoo
4	Lalín, Matilde Noemí
4	Ryan, Nathan C.
4	Schmidt, Ralf
4	Tangedal, Brett A.
4	Thas, Koen
3	Barquero-Sanchez, Adrian
3	Essouabri, Driss
3	Garunkštis, Ramūnas
3	Jorgenson, Jay Alan
3	Kato, Masaki
3	Kohnen, Winfried
3	Marcolli, Matilde
3	Masri, Riad
3	Min, Jeongwon
3	Moree, Pieter
3	Moroz, Boris Zelikovich
3	Narita, Hiro-aki
3	Nishizawa, Michitomo
3	Panchishkin, Alexei A.
3	Satoh, Takakazu
3	Singer, Johannes Maria
3	Smajlović, Lejla
3	Straub, Armin
3	Voros, André
3	Willett, Brian
3	Young, Paul Thomas
3	Zabzine, Maxim
3	Zhao, Jianqiang
2	Akatsuka, Hirotaka
2	Anderson, P. J.
2	Aoki, Miho
2	Assaf, Eran
2	Bergström, Jonas
2	Blomer, Valentin
2	Cassia, Luca
2	Chatterjee, Tapas
2	Choi, Junesang
2	Closset, Cyril
2	Drungilas, Paulius
2	Ebrahimi-Fard, Kurusch
2	Eckstein, Michał
2	Farmer, David W.
2	Fesenko, Ivan Borisovich
2	Friedman, Joshua S.
2	Garg, Sonam
2	Gerasimov, Anton A.
2	Ghitza, Alexandru
2	Grigutis, Andrius
2	Hashimoto, Yasufumi
2	Hatsuda, Yasuyuki
2	Hessami Pilehrood, Khodabakhsh
2	Hessami Pilehrood, Tatiana
2	Hu, Su
2	Katsurada, Hidenori
2	Kels, Andrew P.
2	Kikuta, Toshiyuki
2	Kim, Daeyeoul
2	Kim, Taekyun
2	Kimoto, Kazufumi
2	Kojima, Hisashi
2	Konno, Norio
2	Lebedev, Dmitrii R.
2	Li, Jian-Shu
2	Lin, Rui-Hui
2	Lodin, Rebecca
2	Maaß, Hans
2	Manchon, Dominique
2	Minahan, Joseph A.
2	Mironov, Andrei D.
2	Mizuno, Yoshinori
2	Mkrtchyan, Ruben L.
2	Morozov, Alexei Yurievich
2	Nakamura, Takashi
2	Ochiai, Hiroyuki
2	Okazaki, Tadashi
2	Ostrovskii, Dmitrii M.
2	Oyanagi, Hideo
2	Park, Jinsung
2	Piatetski-Shapiro, Ilya
...and 319 more Authors

all top 5

Cited in 127 Serials

59	Proceedings of the Japan Academy. Series A
44	Journal of Number Theory
22	Journal of High Energy Physics
21	The Ramanujan Journal
13	Mathematische Annalen
13	International Journal of Number Theory
10	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
10	Inventiones Mathematicae
9	Proceedings of the American Mathematical Society
9	International Journal of Mathematics
8	Advances in Mathematics
8	Forum Mathematicum
6	Communications in Mathematical Physics
6	Manuscripta Mathematica
6	Journal de Théorie des Nombres de Bordeaux
5	Annales de l’Institut Fourier
5	Monatshefte für Mathematik
5	Journal of Mathematical Sciences (New York)
5	Research in Number Theory
4	Journal of Mathematical Analysis and Applications
4	Journal of Algebra
4	Mathematische Zeitschrift
4	Rendiconti del Circolo Matemàtico di Palermo. Serie II
4	Transactions of the American Mathematical Society
4	Annales Henri Poincaré
3	Letters in Mathematical Physics
3	Rocky Mountain Journal of Mathematics
3	Journal of Geometry and Physics
3	Acta Arithmetica
3	Compositio Mathematica
3	Duke Mathematical Journal
3	Journal of Soviet Mathematics
3	Kodai Mathematical Journal
3	Memoirs of the American Mathematical Society
3	Nagoya Mathematical Journal
3	Journal of the Ramanujan Mathematical Society
3	Kyushu Journal of Mathematics
3	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2	Bulletin of the Australian Mathematical Society
2	Mathematics of Computation
2	Applied Mathematics and Computation
2	Bulletin of the London Mathematical Society
2	Functiones et Approximatio. Commentarii Mathematici
2	Journal of Functional Analysis
2	Mathematika
2	Results in Mathematics
2	Tokyo Journal of Mathematics
2	Acta Applicandae Mathematicae
2	Bulletin of the American Mathematical Society. New Series
2	Indagationes Mathematicae. New Series
2	Mathematical Physics, Analysis and Geometry
2	Journal of Nonlinear Mathematical Physics
2	Boletim da Sociedade Paranaense de Matemática. Terceira Série
2	Journal of Statistical Mechanics: Theory and Experiment
2	Journal of Physics A: Mathematical and Theoretical
2	Kyoto Journal of Mathematics
2	Research in the Mathematical Sciences
1	Modern Physics Letters A
1	International Journal of Modern Physics A
1	Communications in Algebra
1	Israel Journal of Mathematics
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Journal of Statistical Physics
1	Lithuanian Mathematical Journal
1	Nuclear Physics. B
1	Periodica Mathematica Hungarica
1	Physica A
1	Reports on Mathematical Physics
1	Theoretical and Mathematical Physics
1	Reviews in Mathematical Physics
1	Mathematics Magazine
1	Archiv der Mathematik
1	Bulletin de la Société Mathématique de France
1	Canadian Mathematical Bulletin
1	Czechoslovak Mathematical Journal
1	Journal of Computational and Applied Mathematics
1	Journal of Differential Geometry
1	Journal of the Indian Institute of Science
1	Journal of the London Mathematical Society. Second Series
1	Journal of the Mathematical Society of Japan
1	Journal für die Reine und Angewandte Mathematik
1	Mathematica Slovaca
1	Publications of the Research Institute for Mathematical Sciences, Kyoto University
1	Quaestiones Mathematicae
1	Rendiconti del Seminario Matematico della Università di Padova
1	Theoretical Computer Science
1	Tôhoku Mathematical Journal. Second Series
1	Advances in Applied Mathematics
1	Chinese Annals of Mathematics. Series B
1	Annals of Global Analysis and Geometry
1	Physica D
1	Journal of Symbolic Computation
1	Geometric and Functional Analysis. GAFA
1	Glasnik Matematički. Serija III
1	Applicable Algebra in Engineering, Communication and Computing
1	Experimental Mathematics
1	Journal of Algebraic Geometry
1	Applied Categorical Structures
1	Finite Fields and their Applications
1	Selecta Mathematica. New Series
...and 27 more Serials

all top 5

Cited in 44 Fields

378	Number theory (11-XX)
74	Special functions (33-XX)
57	Algebraic geometry (14-XX)
55	Quantum theory (81-XX)
17	Global analysis, analysis on manifolds (58-XX)
14	Topological groups, Lie groups (22-XX)
13	Combinatorics (05-XX)
11	Group theory and generalizations (20-XX)
11	Functions of a complex variable (30-XX)
9	Associative rings and algebras (16-XX)
9	Dynamical systems and ergodic theory (37-XX)
8	Nonassociative rings and algebras (17-XX)
8	Probability theory and stochastic processes (60-XX)
8	Statistical mechanics, structure of matter (82-XX)
7	Category theory; homological algebra (18-XX)
7	\(K\)-theory (19-XX)
6	Differential geometry (53-XX)
6	Relativity and gravitational theory (83-XX)
5	Commutative algebra (13-XX)
5	Partial differential equations (35-XX)
4	Field theory and polynomials (12-XX)
4	Difference and functional equations (39-XX)
4	Functional analysis (46-XX)
4	Operator theory (47-XX)
4	Manifolds and cell complexes (57-XX)
4	Mechanics of particles and systems (70-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Approximations and expansions (41-XX)
3	Abstract harmonic analysis (43-XX)
3	Computer science (68-XX)
2	History and biography (01-XX)
2	Mathematical logic and foundations (03-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Sequences, series, summability (40-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Geometry (51-XX)
2	Numerical analysis (65-XX)
1	Real functions (26-XX)
1	Measure and integration (28-XX)
1	Ordinary differential equations (34-XX)
1	Convex and discrete geometry (52-XX)
1	Operations research, mathematical programming (90-XX)
1	Systems theory; control (93-XX)
1	Information and communication theory, circuits (94-XX)

Citations by Year

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