A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053
Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Minor summation formula of Pfaffians. Zbl 0830.15011
Ishikawa, Masao; Wakayama, Masato |
|
1995
|
Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058
Parmeggiani, Alberto; Wakayama, Masato |
|
2001
|
Non-commutative harmonic oscillators. I. Zbl 1001.22012
Parmeggiani, Alberto; Wakayama, Masato |
|
2002
|
A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
|
1994
|
Non-commutative harmonic oscillators. II. Zbl 1020.22006
Parmeggiani, Alberto; Wakayama, Masato |
|
2002
|
Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059
Kimoto, Kazufumi; Wakayama, Masato |
|
2006
|
Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031
Ichinose, Takashi; Wakayama, Masato |
|
2005
|
Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030
Ichinose, Takashi; Wakayama, Masato |
|
2005
|
Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328
Wakayama, Masato |
|
2017
|
Absolute derivations and zeta functions. Zbl 1101.11325
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
|
2003
|
Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012
Wakayama, Masato |
|
1985
|
Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015
Ishikawa, Masao; Wakayama, Masato |
|
2006
|
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062
Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
|
1996
|
Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008
Ishikawa, Masao; Wakayama, Masato |
|
1999
|
Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005
Ishikawa, Masao; Okada, Soichi; Wakayama, Masato |
|
1996
|
Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056
Nagatou, K.; Nakao, M. T.; Wakayama, M. |
|
2002
|
\(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095
Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori |
|
2008
|
Higher Selberg zeta functions. Zbl 1060.11050
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. Zbl 1206.11109
Kimoto, Kazufumi; Wakayama, Masato |
|
2007
|
Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model. Zbl 1514.81115
Kimoto, Kazufumi; Reyes-Bustos, Cid; Wakayama, Masato |
|
2021
|
Casimir effects on Riemann surfaces. Zbl 1027.81026
Kurokawa, Nobushige; Wakayama, Masato |
|
2002
|
Absolute tensor products. Zbl 1086.11041
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Remarks on zeta regularized products. Zbl 1091.11034
Kimoto, Kazufumi; Wakayama, Masato |
|
2004
|
Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004
Parmeggiani, A.; Wakayama, M. |
|
2003
|
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Multiple trigonometry and zeta functions. Zbl 0995.11054
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
|
2002
|
Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099
Ishikawa, Masao; Wakayama, Masato |
|
1995
|
Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029
Wakayama, Masato; Yamasaki, Yoshinori |
|
2006
|
The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194
Wakayama, Masato; Yamasaki, Taishi |
|
2014
|
Equidistribution of holonomy about closed geodesics. Zbl 0939.22008
Sarnak, Peter; Wakayama, Masato |
|
1999
|
Equivalence between the eigenvalue problem of non-commutative harmonic oscillators and existence of holomorphic solutions of Heun differential equations, eigenstates degeneration, and the Rabi model. Zbl 1346.34057
Wakayama, Masato |
|
2016
|
Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020
Kinoshita, Kenji; Wakayama, Masato |
|
2002
|
On \(\zeta(3)\). Zbl 1014.11049
Kurokawa, Nobushige; Wakayama, Masato |
|
2001
|
Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079
Kimoto, Kazufumi; Wakayama, Masato |
|
2013
|
Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099
Wakayama, Masato |
|
2013
|
On \(q\)-basic multiple gamma functions. Zbl 1052.33015
Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Zeta regularizations. Zbl 1054.11044
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Extremal values of double and triple trigonometric functions. Zbl 1058.33001
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110
Kurokawa, Nobushige; Wakayama, Masato |
|
2008
|
Heat kernel for the quantum Rabi model. II: Propagators and spectral determinants. Zbl 1519.81200
Reyes-Bustos, Cid; Wakayama, Masato |
|
2021
|
Remarks on the hidden symmetry of the asymmetric quantum Rabi model. Zbl 1519.81315
Reyes-Bustos, Cid; Braak, Daniel; Wakayama, Masato |
|
2021
|
Half zeta functions. Zbl 1057.11041
Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047
Ichinose, Takashi; Wakayama, Masato |
|
2007
|
A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
|
1995
|
Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006
Ishikawa, Masao; Wakayama, Masato |
|
2000
|
Zeta extensions. Zbl 1015.11043
Kurokawa, Nobushige; Wakayama, Masato |
|
2002
|
Hierarchy of the Selberg zeta functions. Zbl 1125.11051
Hashimoto, Yasufumi; Wakayama, Masato |
|
2005
|
Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato |
|
2003
|
Multiple finite Riemann zeta functions. Zbl 1074.11049
Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato |
|
2005
|
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065
Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori |
|
2013
|
A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009
Hibi, Takayuki; Wakayama, Masato |
|
1995
|
Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004
Matsumoto, Sho; Wakayama, Masato |
|
2006
|
Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007
Kimoto, Kazufumi; Wakayama, Masato |
|
2008
|
A generalization of Lerch’s formula. Zbl 1114.11074
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Heat kernel for the quantum Rabi model. Zbl 1521.81508
Reyes-Bustos, Cid; Wakayama, Masato |
|
2022
|
Mathematical modelling for next-generation cryptography. CREST Crypto-Math project. Zbl 1383.94002
|
|
2018
|
Duplication formulas in triple trigonometry. Zbl 1044.33010
Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017
Faraut, Jacques; Wakayama, Masato |
|
2013
|
Remarks on geodesics for multivariate normal models. Zbl 1321.62029
Imai, Takuro; Takaesu, Akira; Wakayama, Masato |
|
2011
|
New Schur function series. Zbl 0911.05058
Ishikawa, Masao; Wakayama, Masato |
|
1998
|
Milnor’s multiple gamma functions. Zbl 1189.11043
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
|
2006
|
Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias. Zbl 1513.81056
Reyes-Bustos, Cid; Wakayama, Masato |
|
2022
|
Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Some examples of generalized zeta regularized products. Zbl 1090.11053
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato |
|
2004
|
Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307
Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Analyticity of polylogarithmic Euler products. Zbl 1097.11046
Wakayama, Masato; Kurokawa, Nobushige |
|
2003
|
Remarks on Shintani’s zeta function. Zbl 1207.11086
Wakayama, Masato |
|
2005
|
Splitting density for lifting about discrete groups. Zbl 1148.11026
Hashimoto, Yasufumi; Wakayama, Masato |
|
2007
|
A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006
Kimoto, Kazufumi; Wakayama, Masato |
|
2007
|
Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120
Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato |
|
2007
|
Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009
Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato |
|
2009
|
Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010
Kimoto, Kazufumi; Wakayama, Masato |
|
2002
|
Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115
Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato |
|
2007
|
A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019
Wakayama, Masato |
|
1991
|
A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040
Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato |
|
1989
|
Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025
Wakayama, Masato |
|
1985
|
Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Zbl 1531.11083
Kimoto, Kazufumi; Wakayama, Masato |
|
2023
|
Wreath determinants for group-subgroup pairs. Zbl 1320.20007
Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato |
|
2015
|
Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079
Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato |
|
2002
|
A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062
Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
A formula for the multiplicity of the principal series in \(L^2(\Gamma\backslash G)\). Zbl 0959.11021
Kurokawa, Nobushige; Kuroyama, Hitodakari; Wakayama, Masato |
|
2000
|
Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041
Kurokawa, Nobushige; Wakayama, Masato |
|
2006
|
Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023
Umeda, Tôru; Wakayama, Masato |
|
1998
|
Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519
Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato |
|
2000
|
An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003
Eguchi, Masaaki; Wakayama, Masato |
|
1987
|
A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039
Wakayama, Masato |
|
1989
|
Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators. Zbl 1533.81067
Reyes-Bustos, Cid; Wakayama, Masato |
|
2023
|
Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041
Faraut, Jacques; Wakayama, Masato |
|
2017
|
Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Zbl 1531.11083
Kimoto, Kazufumi; Wakayama, Masato |
|
2023
|
Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators. Zbl 1533.81067
Reyes-Bustos, Cid; Wakayama, Masato |
|
2023
|
Heat kernel for the quantum Rabi model. Zbl 1521.81508
Reyes-Bustos, Cid; Wakayama, Masato |
|
2022
|
Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias. Zbl 1513.81056
Reyes-Bustos, Cid; Wakayama, Masato |
|
2022
|
Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model. Zbl 1514.81115
Kimoto, Kazufumi; Reyes-Bustos, Cid; Wakayama, Masato |
|
2021
|
Heat kernel for the quantum Rabi model. II: Propagators and spectral determinants. Zbl 1519.81200
Reyes-Bustos, Cid; Wakayama, Masato |
|
2021
|
Remarks on the hidden symmetry of the asymmetric quantum Rabi model. Zbl 1519.81315
Reyes-Bustos, Cid; Braak, Daniel; Wakayama, Masato |
|
2021
|
Mathematical modelling for next-generation cryptography. CREST Crypto-Math project. Zbl 1383.94002
|
|
2018
|
Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328
Wakayama, Masato |
|
2017
|
Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041
Faraut, Jacques; Wakayama, Masato |
|
2017
|
Equivalence between the eigenvalue problem of non-commutative harmonic oscillators and existence of holomorphic solutions of Heun differential equations, eigenstates degeneration, and the Rabi model. Zbl 1346.34057
Wakayama, Masato |
|
2016
|
Wreath determinants for group-subgroup pairs. Zbl 1320.20007
Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato |
|
2015
|
The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194
Wakayama, Masato; Yamasaki, Taishi |
|
2014
|
Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079
Kimoto, Kazufumi; Wakayama, Masato |
|
2013
|
Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099
Wakayama, Masato |
|
2013
|
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065
Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori |
|
2013
|
Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017
Faraut, Jacques; Wakayama, Masato |
|
2013
|
Remarks on geodesics for multivariate normal models. Zbl 1321.62029
Imai, Takuro; Takaesu, Akira; Wakayama, Masato |
|
2011
|
Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009
Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato |
|
2009
|
\(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095
Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori |
|
2008
|
Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110
Kurokawa, Nobushige; Wakayama, Masato |
|
2008
|
Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007
Kimoto, Kazufumi; Wakayama, Masato |
|
2008
|
Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. Zbl 1206.11109
Kimoto, Kazufumi; Wakayama, Masato |
|
2007
|
On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047
Ichinose, Takashi; Wakayama, Masato |
|
2007
|
Splitting density for lifting about discrete groups. Zbl 1148.11026
Hashimoto, Yasufumi; Wakayama, Masato |
|
2007
|
Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006
Kimoto, Kazufumi; Wakayama, Masato |
|
2007
|
Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120
Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato |
|
2007
|
Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115
Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato |
|
2007
|
Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059
Kimoto, Kazufumi; Wakayama, Masato |
|
2006
|
Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015
Ishikawa, Masao; Wakayama, Masato |
|
2006
|
Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029
Wakayama, Masato; Yamasaki, Yoshinori |
|
2006
|
Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004
Matsumoto, Sho; Wakayama, Masato |
|
2006
|
Milnor’s multiple gamma functions. Zbl 1189.11043
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
|
2006
|
Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041
Kurokawa, Nobushige; Wakayama, Masato |
|
2006
|
Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031
Ichinose, Takashi; Wakayama, Masato |
|
2005
|
Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030
Ichinose, Takashi; Wakayama, Masato |
|
2005
|
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Hierarchy of the Selberg zeta functions. Zbl 1125.11051
Hashimoto, Yasufumi; Wakayama, Masato |
|
2005
|
Multiple finite Riemann zeta functions. Zbl 1074.11049
Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato |
|
2005
|
Remarks on Shintani’s zeta function. Zbl 1207.11086
Wakayama, Masato |
|
2005
|
A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044
Kurokawa, Nobushige; Wakayama, Masato |
|
2005
|
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062
Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Higher Selberg zeta functions. Zbl 1060.11050
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Absolute tensor products. Zbl 1086.11041
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Remarks on zeta regularized products. Zbl 1091.11034
Kimoto, Kazufumi; Wakayama, Masato |
|
2004
|
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Zeta regularizations. Zbl 1054.11044
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Extremal values of double and triple trigonometric functions. Zbl 1058.33001
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
A generalization of Lerch’s formula. Zbl 1114.11074
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
Some examples of generalized zeta regularized products. Zbl 1090.11053
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato |
|
2004
|
Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057
Kurokawa, Nobushige; Wakayama, Masato |
|
2004
|
A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053
Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato |
|
2003
|
Absolute derivations and zeta functions. Zbl 1101.11325
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
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2003
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Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004
Parmeggiani, A.; Wakayama, M. |
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2003
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On \(q\)-basic multiple gamma functions. Zbl 1052.33015
Kurokawa, Nobushige; Wakayama, Masato |
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2003
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Half zeta functions. Zbl 1057.11041
Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato |
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2003
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Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato |
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2003
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Duplication formulas in triple trigonometry. Zbl 1044.33010
Kurokawa, Nobushige; Wakayama, Masato |
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2003
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Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307
Kurokawa, Nobushige; Wakayama, Masato |
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2003
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Analyticity of polylogarithmic Euler products. Zbl 1097.11046
Wakayama, Masato; Kurokawa, Nobushige |
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2003
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A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062
Kurokawa, Nobushige; Wakayama, Masato |
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2003
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Non-commutative harmonic oscillators. I. Zbl 1001.22012
Parmeggiani, Alberto; Wakayama, Masato |
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2002
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Non-commutative harmonic oscillators. II. Zbl 1020.22006
Parmeggiani, Alberto; Wakayama, Masato |
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2002
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Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056
Nagatou, K.; Nakao, M. T.; Wakayama, M. |
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2002
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Casimir effects on Riemann surfaces. Zbl 1027.81026
Kurokawa, Nobushige; Wakayama, Masato |
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2002
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Multiple trigonometry and zeta functions. Zbl 0995.11054
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato |
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2002
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Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020
Kinoshita, Kenji; Wakayama, Masato |
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2002
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Zeta extensions. Zbl 1015.11043
Kurokawa, Nobushige; Wakayama, Masato |
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2002
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Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010
Kimoto, Kazufumi; Wakayama, Masato |
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2002
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Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079
Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato |
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2002
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Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058
Parmeggiani, Alberto; Wakayama, Masato |
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2001
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On \(\zeta(3)\). Zbl 1014.11049
Kurokawa, Nobushige; Wakayama, Masato |
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2001
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Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006
Ishikawa, Masao; Wakayama, Masato |
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2000
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A formula for the multiplicity of the principal series in \(L^2(\Gamma\backslash G)\). Zbl 0959.11021
Kurokawa, Nobushige; Kuroyama, Hitodakari; Wakayama, Masato |
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2000
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Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519
Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato |
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2000
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Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008
Ishikawa, Masao; Wakayama, Masato |
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1999
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Equidistribution of holonomy about closed geodesics. Zbl 0939.22008
Sarnak, Peter; Wakayama, Masato |
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1999
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New Schur function series. Zbl 0911.05058
Ishikawa, Masao; Wakayama, Masato |
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1998
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Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023
Umeda, Tôru; Wakayama, Masato |
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1998
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Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
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1996
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Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005
Ishikawa, Masao; Okada, Soichi; Wakayama, Masato |
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1996
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Minor summation formula of Pfaffians. Zbl 0830.15011
Ishikawa, Masao; Wakayama, Masato |
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1995
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Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099
Ishikawa, Masao; Wakayama, Masato |
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1995
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A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
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1995
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A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009
Hibi, Takayuki; Wakayama, Masato |
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1995
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A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato |
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1994
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A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019
Wakayama, Masato |
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1991
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A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040
Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato |
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1989
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A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039
Wakayama, Masato |
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1989
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An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003
Eguchi, Masaaki; Wakayama, Masato |
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1987
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Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012
Wakayama, Masato |
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1985
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Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025
Wakayama, Masato |
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1985
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