Sun, Zhi-Hong Elliptic curves and the residue-counts of \(x^2+bx+c/x\) modulo \(p\). arXiv:2407.15432 Preprint, arXiv:2407.15432 [math.NT] (2024). MSC: 11A15 11A07 11E25 11L10 11G20 × Cite Format Result Cite Full Text: arXiv OA License
Sun, Zhi-Hong; Ye, Dongxi Quartic congruences and eta products. (English) Zbl 07769095 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 67, 25 p. (2023). MSC: 11F33 11A07 11E20 11E25 11F11 11L10 11F33 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Hai-Liang; Wu, Bing-Ling; Gong, Ming-Liang On certain cyclotomic matrices involving biquadratic residues. (English) Zbl 1523.11053 Ramanujan J. 60, No. 3, 751-759 (2023). MSC: 11C20 11L10 11R18 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaoxue On the mean value of Dedekind sums over primitive roots of an odd prime. (English) Zbl 07831097 Math. Rep., Buchar. 24(74), No. 3, 355-361 (2022). MSC: 11L05 11L10 × Cite Format Result Cite Review PDF
Riera, Constanza; Stanica, Pantelimon; Yan, Haode The \(c\)-differential spectrum of \(x\mapsto x^{\frac{p^n+1}{2}}\) in finite fields of odd characteristics. arXiv:2210.12249 Preprint, arXiv:2210.12249 [cs.IT] (2022). MSC: 11L10 11T24 11T71 12E20 94A60 × Cite Format Result Cite Full Text: arXiv OA License
Xiao, Wang; Li, Aihua Counting certain quadratic partitions of zero modulo a prime number. (English) Zbl 1497.11077 Open Math. 19, 198-211 (2021). MSC: 11D45 11P83 11L10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wu, Hai-Liang Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices. (English) Zbl 1496.11046 Finite Fields Appl. 76, Article ID 101929, 26 p. (2021). Reviewer: Carlos M. da Fonseca (Safat) MSC: 11C20 11L10 11R18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wenpeng; Zhang, Jiafan Some character sums of the polynomials. (English) Zbl 1499.11259 JP J. Algebra Number Theory Appl. 48, No. 1, 37-48 (2020). MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Dağli, Muhammet Cihat On the hybrid mean value of generalized Dedekind sums, generalized Hardy sums and Ramanujan sum. (English) Zbl 1499.11185 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 4, 325-333 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11F20 11L05 11L10 × Cite Format Result Cite Review PDF
Qi, Lan; Chen, Zhuoyu The hybrid power mean of character sums of polynomials and two-term exponential sums. (Chinese. English summary) Zbl 1463.11135 Acta Math. Sin., Chin. Ser. 63, No. 4, 397-402 (2020). MSC: 11L03 11L05 11L10 × Cite Format Result Cite Review PDF
Wang, Xiao A note on the hybrid power mean of the character sums and exponential sums. (Chinese. English summary) Zbl 1449.11082 J. Shandong Univ., Nat. Sci. 54, No. 12, 97-101 (2019). MSC: 11L03 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tingting; Guan, Yaliang A new sum related to Dedekind sums and its values in some special integers. (Chinese. English summary) Zbl 1449.11083 Acta Math. Sin., Chin. Ser. 62, No. 3, 497-502 (2019). MSC: 11L05 11L10 11L40 × Cite Format Result Cite Review PDF
Wang, Xiao A note on the fourth power mean of the two-term exponential sums. (Chinese. English summary) Zbl 1438.11111 Acta Math. Sin., Chin. Ser. 62, No. 2, 261-268 (2019). MSC: 11L03 11L05 11L10 × Cite Format Result Cite Review PDF
Ji, Yongqiang; Zhang, Wenpeng On the hybrid power mean of the exponential sums and character sums. (Chinese. English summary) Zbl 1424.11115 Acta Math. Sin., Chin. Ser. 61, No. 5, 777-782 (2018). MSC: 11L03 11L05 11L10 × Cite Format Result Cite Review PDF
Zhang, Wenpeng; Wang, Xiao On a kind of character sums and their recurrence properties. (English) Zbl 1417.11137 Acta Arith. 185, No. 4, 347-355 (2018). Reviewer: Huaning Liu (Shaanxi) MSC: 11L40 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Qing; Zheng, Weizhe; Zheng, Zhiyong On the distribution of Jacobi sums. (English) Zbl 1429.11215 J. Reine Angew. Math. 741, 67-86 (2018). MSC: 11T24 11L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alsulmi, Badria; Pigno, Vincent; Pinner, Christopher Jacobi-type sums with an explicit evaluation modulo prime powers. (English) Zbl 1432.11112 Funct. Approximatio, Comment. Math. 56, No. 1, 49-60 (2017). MSC: 11L10 11L40 11L03 11L05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Ostergaard, Misty; Pigno, Vincent; Pinner, Christopher Evaluating prime power Gauss and Jacobi sums. (English) Zbl 1378.11081 Tamkang J. Math. 48, No. 3, 227-240 (2017). MSC: 11L05 11L03 11L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alsulmi, Badria; Pigno, Vincent; Pinner, Christopher Character sums with an explicit evaluation. (English) Zbl 1424.11121 Math. Slovaca 67, No. 3, 623-630 (2017). Reviewer: Todd Cochrane (Manhattan) MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Sadek, Mohammad Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves. (English) Zbl 1357.11120 Int. J. Number Theory 12, No. 8, 2173-2187 (2016). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11T24 11L10 11G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jing; Li, Xiaoxue On the \(k\)-polygonal numbers and the mean value of Dedekind sums. (English) Zbl 1389.11117 Czech. Math. J. 66, No. 2, 409-415 (2016). Reviewer: Huaning Liu (Shaanxi) MSC: 11L05 11L10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jȩdrzejak, Tomasz On the torsion of the Jacobians of the hyperelliptic curves \(y^{2}=x^{n}+a\) and \(y^{2}=x(x^{n}+a)\). (English) Zbl 1402.11090 Acta Arith. 174, No. 2, 99-120 (2016). MSC: 11G10 11G30 11L05 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Pigno, Vincent; Pinner, Christopher Binomial character sums modulo prime powers. (English. French summary) Zbl 1416.11130 J. Théor. Nombres Bordx. 28, No. 1, 39-53 (2016). MSC: 11L10 11L40 11L03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McCalla, Peter; Ramaroson, François On the maximality of certain hyperellptic curves with an application to character sums. (English) Zbl 1397.11114 Commun. Math. Anal. 18, No. 2, 76-85 (2015). MSC: 11G25 11L10 14G25 14G15 × Cite Format Result Cite Review PDF Full Text: Euclid
Pigno, Vincent; Pinner, Chris; Sheppard, Joe Evaluating binomial character sums modulo powers of two. (English) Zbl 1340.11074 J. Math. Res. Appl. 35, No. 2, 137-142 (2015). MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shparlinski, Igor E. Cayley graphs generated by small degree polynomials over finite fields. (English) Zbl 1311.05083 SIAM J. Discrete Math. 29, No. 1, 376-381 (2015). MSC: 05C25 05C50 11L10 11T06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weiqiong; Han, Di An identity involving certain Hardy sums and Ramanujan’s sum. (English) Zbl 1375.11059 Adv. Difference Equ. 2013, Paper No. 261, 8 p. (2013). MSC: 11L05 11L10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Guohua Sums of Legendre symbols over consecutive prime numbers. (Chinese. English summary) Zbl 1299.11002 Pure Appl. Math. 29, No. 4, 414-424 (2013). MSC: 11A15 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Jȩdrzejak, Tomasz Characterization of the torsion of the Jacobians of two families of hyperelliptic curves. (English) Zbl 1286.11094 Acta Arith. 161, No. 3, 201-218 (2013). Reviewer: Xiao Xiao (Utica) MSC: 11G10 11G30 11G20 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhihong Legendre polynomials and supercongruences. (English) Zbl 1287.11004 Acta Arith. 159, No. 2, 169-200 (2013). MSC: 11A07 33C45 11E25 11L10 05A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sun, Zhihong Congruences involving \({2k\choose k}^2{3k\choose k}\). (English) Zbl 1300.11007 J. Number Theory 133, No. 5, 1572-1595 (2013). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11E25 05A10 05A19 11G07 33C45 11L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Ki-ichiro; Long, Ling; Yang, Yifan Jacobsthal identity for \(\mathbb Q(\sqrt {-2})\). (English) Zbl 1296.11103 Forum Math. 24, No. 6, 1225-1238 (2012). MSC: 11L10 11G05 11G15 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Heng Huat; Long, Ling; Yang, Yifan A cubic analogue of the Jacobsthal identity. (English) Zbl 1233.11002 Am. Math. Mon. 118, No. 4, 316-326 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11A15 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhi-Hong Congruences involving \(\binom{2k}k^2\binom{4k}{2k}m^{-k}\). arXiv:1104.3047 Preprint, arXiv:1104.3047 [math.NT] (2011). MSC: 11A07 33C45 11E25 11G07 11L10 05A10 05A19 × Cite Format Result Cite Full Text: arXiv OA License
Chubarikov, V. N. The sum of Dirichlet characters of a polynomial over a reduced residue system. (English. Russian original) Zbl 1304.11084 Mosc. Univ. Math. Bull. 64, No. 3, 129-131 (2009); translation from Vest. Mosk. Univ. Mat. Mekh. 64, No. 3, 40-43 (2009). MSC: 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Kopaneva, A. A. An estimate for short sums of Dirichlet characters over shifted primes. (Russian) Zbl 1334.11063 Chebyshevskiĭ Sb. 9, No. 1(25), 122-143 (2008). MSC: 11L10 × Cite Format Result Cite Review PDF Full Text: MNR
Wu, Kejian A note on the McCoy-Orrick identity. (Chinese. English summary) Zbl 1174.11384 Pure Appl. Math. 24, No. 2, 301-305 (2008). MSC: 11L03 11L10 × Cite Format Result Cite Review PDF
Xu, Zhefeng A note on the \(2k\)-th power mean of character sums over the quarter interval. (English) Zbl 1153.11045 Proc. Am. Math. Soc. 136, No. 12, 4175-4184 (2008). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11L40 11L10 11M38 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaobeng An identity on Brewer sums. (Chinese. English summary) Zbl 1147.11319 Math. Pract. Theory 37, No. 4, 114-116 (2007). MSC: 11L10 × Cite Format Result Cite Review PDF
Alaca, Şaban Congruences for Brewer sums. (English) Zbl 1107.11032 Finite Fields Appl. 13, No. 1, 1-19 (2007). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11L10 11T06 12Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhihong On the number of incongruent residues of \(x^4+ax^2+bx\) modulo \(p\). (English) Zbl 1205.11009 J. Number Theory 119, No. 2, 210-241 (2006). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11A15 11G20 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Wage, Nicholas Character sums and Ramsey properties of generalized Paley graphs. (English) Zbl 1091.05048 Integers 6, Paper A18, 16 p. (2006). MSC: 05C55 11L05 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: EuDML
Zhang, Wenpeng; Xu, Zhefeng On the Dirichlet characters of polynomials in several variables. (English) Zbl 1162.11371 Acta Arith. 121, No. 2, 117-124 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 11L10 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru Determinations of analogues of Gauss sums and other trigonometric sums. (English) Zbl 1088.11064 Int. J. Number Theory 1, No. 3, 333-356 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 11L03 11R29 11L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Washio, Tadashi; Kodama, Tetsuo The number of rational points of certain hyperelliptic curves of genus 3. (English) Zbl 1088.11051 Bull. Fac. Educ. Nagasaki Univ., Nat. Sci. 73, 1-7 (2005). Reviewer: Roberto Dvornicich (Pisa) MSC: 11G20 11L10 × Cite Format Result Cite Review PDF
Kim, Dae San A multiple character sum evaluation. (English) Zbl 1079.11040 Bull. Aust. Math. Soc. 72, No. 1, 157-160 (2005). MSC: 11L10 11L40 11T24 × Cite Format Result Cite Review PDF Full Text: DOI
Berndt, Bruce C.; Zaharescu, Alexandru Finite trigonometric sums and class numbers. (English) Zbl 1099.11039 Math. Ann. 330, No. 3, 551-575 (2004). Reviewer: Tom M. Apostol (Pasadena) MSC: 11L03 11R29 11L10 11R11 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wenpeng; Yao, Weili A note on the Dirichlet characters of polynomials. (English) Zbl 1076.11048 Acta Arith. 115, No. 3, 225-229 (2004). Reviewer: Helmut Müller (Hamburg) MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jin; Zheng, Zhiyong Bounds for certain character sums. (English) Zbl 1082.11051 Tsinghua Sci. Technol. 8, No. 5, 553-556 (2003). Reviewer: Olivier Ramaré (Lille) MSC: 11L40 11L05 11L10 × Cite Format Result Cite Review PDF
Zhang, Wenpeng; Yi, Yuan On the mean value of Jacobi sums. (English) Zbl 1125.11338 Soochow J. Math. 29, No. 4, 371-378 (2003). MSC: 11L10 × Cite Format Result Cite Review PDF
Mortenson, Eric A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. (English) Zbl 1074.11045 J. Number Theory 99, No. 1, 139-147 (2003). MSC: 11A07 11G20 11T24 11L10 33C20 33E50 × Cite Format Result Cite Review PDF Full Text: DOI
Arasu, K. T.; Player, Kevin J. A new family of cyclic difference sets with Singer parameters in characteristic three. (English) Zbl 1012.05036 Des. Codes Cryptography 28, No. 1, 75-91 (2003). Reviewer: Giovanni Ferrero (Parma) MSC: 05B10 11L05 11L10 51E21 × Cite Format Result Cite Review PDF Full Text: DOI
Mortenson, Eric Supercongruences between truncated \(_{2}F_{1}\) hypergeometric functions and their Gaussian analogs. (English) Zbl 1074.11044 Trans. Am. Math. Soc. 355, No. 3, 987-1007 (2003). Reviewer: Olaf Ninnemann (Berlin) MSC: 11L10 11G20 11A07 33C05 × Cite Format Result Cite Review PDF Full Text: DOI
Danas, George On some Kloosterman sums. (English) Zbl 1008.11030 Math. Sci. Res. J. 6, No. 8, 391-403 (2002). Reviewer: Jürgen Hinz (Marburg) MSC: 11L05 11L10 11T24 11L20 × Cite Format Result Cite Review PDF
Zhang, Wenpeng; Yi, Yuan On Dirichlet characters of polynomials. (English) Zbl 1038.11052 Bull. Lond. Math. Soc. 34, No. 4, 469-473 (2002). Reviewer: Helmut Müller (Hamburg) MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Peter; Choi, Kwok-Kwong Stephen Merit factors of character polynomials. (English) Zbl 1011.11059 J. Lond. Math. Soc., II. Ser. 61, No. 3, 706-720 (2000). MSC: 11L10 11L40 11J54 11B83 11C08 × Cite Format Result Cite Review PDF Full Text: DOI
Cochrane, Todd; Garth, David; Zheng, Zhiyong On a problem of H. Cohn for character sums. (English) Zbl 1015.11064 J. Number Theory 81, No. 1, 120-129 (2000). MSC: 11T24 11L10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Saito, Naomichi Laguerre character sums. (English) Zbl 1042.11522 Tokyo J. Math. 22, No. 2, 323-340 (1999). MSC: 11L10 33C80 × Cite Format Result Cite Review PDF Full Text: DOI
Koike, Masao Special functions over finite fields. (English) Zbl 0944.11039 Shinoda, Ken-ichi (ed.), Three lectures in algebra. Tokyo: Sophia University, Department of Mathematics, Sophia Kokyuroku Math. 41, 1-23 (1999). Reviewer: Arne Winterhof (Wien) MSC: 11T24 33E50 33C45 11L10 × Cite Format Result Cite Review PDF
Yu, Hongbing Note on Heath-Brown’s estimate for Heilbronn’s exponential sum. (English) Zbl 0921.11045 Proc. Am. Math. Soc. 127, No. 7, 1995-1998 (1999). Reviewer: Serguei Stepanov (Ankara) MSC: 11L07 11T06 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Ibukiyama, Tomoyoshi On some elementary character sums. (English) Zbl 0921.11046 Comment. Math. Univ. St. Pauli 47, No. 1, 7-13 (1998). Reviewer: J.Hinz (Marburg) MSC: 11L10 11R29 11R11 × Cite Format Result Cite Review PDF
Ono, Ken Values of Gaussian hypergeometric series. (English) Zbl 0910.11054 Trans. Am. Math. Soc. 350, No. 3, 1205-1223 (1998). MSC: 11T24 33C20 11G05 14H52 11L05 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S. Gauss and Jacobi sums. (English) Zbl 0906.11001 Canadian Mathematical Society Series of Monographs and Advanced Texts. New York, NY: John Wiley & Sons. xi, 583 p. (1998). Reviewer: J.H.Loxton (North Ryde) MSC: 11-02 11L05 11L10 11R18 11T71 11-03 11T24 11T22 11D61 11B65 11A15 × Cite Format Result Cite Review PDF
Shiratani, Katsumi; Yamada, Mieko Rationality problems of Jacobi sums. (Japanese) Zbl 1016.11532 RIMS Kokyuroku 998, 153-160 (1997). MSC: 11L10 11T24 × Cite Format Result Cite Review PDF
Aoki, Noboru On the purity problem of Gauss sums and Jacobi sums over finite fields. (English) Zbl 0921.11065 Comment. Math. Univ. St. Pauli 46, No. 2, 223-233 (1997). Reviewer: Serguei Stepanov (Ankara) MSC: 11T24 11L10 × Cite Format Result Cite Review PDF
Shiratani, Katsumi; Yamada, Mieko On rationality of Jacobi sums. (English) Zbl 0969.11029 Colloq. Math. 73, No. 2, 251-260 (1997). Reviewer: Laszlo Leindler (Szeged) MSC: 11L10 11T24 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Padma, R.; Venkataraman, S. Elliptic curves with complex multiplication and a character sum. (English) Zbl 0872.11035 J. Number Theory 61, No. 2, 274-282 (1996). Reviewer: A. R. Rajwade (Chandigarh) MSC: 11L10 11G15 × Cite Format Result Cite Review PDF Full Text: DOI
Jakubec, Stanislav Note on the Jacobi sum \(J(\chi,\chi)\). (English) Zbl 0853.11068 J. Théor. Nombres Bordx. 7, No. 2, 461-471 (1995). Reviewer: K.S.Williams (Ottawa) MSC: 11L10 11R18 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Evans, Ronald J. Selberg-Jack character sums of dimension 2. (English) Zbl 0883.11051 J. Number Theory 54, No. 1, 1-11 (1995). Reviewer: O.Ninnemann (Berlin) MSC: 11T24 11L10 33D05 05E05 × Cite Format Result Cite Review PDF Full Text: DOI
Young, Paul Thomas On Jacobi sums, multinomial coefficients, and \(p\)-adic hypergeometric functions. (English) Zbl 0874.11079 J. Number Theory 52, No. 1, 125-144 (1995). MSC: 11S80 11T24 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jun On the Jacobi sums for finite commutative rings with identity. (English) Zbl 0808.11071 J. Number Theory 48, No. 3, 284-290 (1994). Reviewer: K.S.Williams (Ottawa) MSC: 11T24 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Akiyama, Shigeki Refinements of class number formulas for quadratic fields. (Japanese) Zbl 0973.11519 Motohashi, Yoichi (ed.), Analytic number theory. Kyoto: Kyoto University, Research Inst. for Math. Sciences, RIMS Kôkyûroku. 886, 170-177 (1994). MSC: 11R29 11L10 11R11 × Cite Format Result Cite Review PDF
Ismoilov, D. Estimates of complete trigonometric sums. (English. Russian original) Zbl 0896.11032 Proc. Steklov Inst. Math. 207, 137-153 (1995); translation from Tr. Mat. Inst. Steklova 207, 153-171 (1994). Reviewer: J.Hinz (Marburg) MSC: 11L07 11L10 × Cite Format Result Cite Review PDF
Robinson, Raphael M. Numbers having \(m\) small \(m\)th roots mod \(p\). (English) Zbl 0785.11003 Math. Comput. 61, No. 203, 393-413 (1993). Reviewer: J.Hinz (Marburg) MSC: 11A07 11A15 11R18 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Ismoilov, D. A lower bound estimate for complete sums of characters of polynomials and rational functions. (English) Zbl 0777.11030 Acta Math. Sin., New Ser. 9, No. 1, 90-99 (1993). Reviewer: J.Hinz (Marburg) MSC: 11L40 11L10 11L05 × Cite Format Result Cite Review PDF Full Text: DOI
Helou, Charles Quintic reciprocity. (English) Zbl 0777.11038 Proc. Am. Math. Soc. 117, No. 4, 877-884 (1993). Reviewer: K.S.Williams (Ottawa) MSC: 11R04 11A15 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Williams, Kenneth S.; Hardy, Kenneth Determination of \(\sum _{k=1}^{p-1} g^{ak^ 2}\) modulo \(p\). (English) Zbl 0767.11002 Acta Arith. 61, No. 2, 161-172 (1992). Reviewer: J.Hinz (Marburg) MSC: 11A07 11A15 11L05 11L10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Evans, Ronald J. The evaluation of Selberg character sums. (English) Zbl 0774.11046 Enseign. Math., II. Sér. 37, No. 3-4, 235-248 (1991). Reviewer: D.A.Burgess (Nottingham) MSC: 11L10 11T24 11L05 × Cite Format Result Cite Review PDF
Wang, Jun On the Jacobi sums modulo \(P^ n\). (English) Zbl 0729.11039 J. Number Theory 39, No. 1, 50-64 (1991). Reviewer: K.S.Williams (Ottawa) MSC: 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, Greg W. The evaluation of Selberg sums. (English. Abridged French version) Zbl 0724.11063 C. R. Acad. Sci., Paris, Sér. I 311, No. 8, 469-472 (1990). Reviewer: K.S.Williams (Ottawa) MSC: 11T24 11L10 × Cite Format Result Cite Review PDF
Funakura, Takeo On Kronecker’s limit formula for Dirichlet series with periodic coefficients. (English) Zbl 0654.10039 Acta Arith. 55, No. 1, 59-73 (1990). Reviewer: T.Funakura MSC: 11M06 11L10 11J81 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Parnami, J. C.; Agrawal, M. K.; Rajwade, A. R. Some identities involving character sums and their applications. (English) Zbl 0698.10025 J. Indian Math. Soc., New Ser. 54, No. 1-4, 125-132 (1989). Reviewer: J.Hinz MSC: 11L10 14H52 × Cite Format Result Cite Review PDF
Negmatova, G. D. The distribution of values of non-principal characters in sparse sequences. (English. Russian original) Zbl 0694.10037 Russ. Math. Surv. 44, No. 5, 214-215 (1989); translation from Usp. Mat. Nauk 44, No. 5(269), 177-178 (1989). Reviewer: Lu Minggao MSC: 11L10 11L40 × Cite Format Result Cite Review PDF Full Text: DOI
Piatetski-Shapiro, Ilya I. The existence of Maaß cusp forms and Kloosterman sums. (English) Zbl 0683.10023 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 2, 267-276 (1989). Reviewer: J.Elstrodt MSC: 11F12 11L10 11F70 11M35 × Cite Format Result Cite Review PDF
Evans, Ronald J.; Root, William A. Conjectures for Selberg character sums. (English) Zbl 0683.12011 J. Ramanujan Math. Soc. (Ramanujan Birth Centenary Special Issue) 3, No. 1, 111-128 (1988). Reviewer: Pei Dingyi MSC: 11T24 11L10 × Cite Format Result Cite Review PDF
Coleman, Robert; McCallum, William Stable reduction of Fermat curves and Jacobi sum Hecke characters. (English) Zbl 0654.12003 J. Reine Angew. Math. 385, 41-101 (1988). Reviewer: S. Raghavan (Mumbai) MSC: 11R18 11L10 14H25 × Cite Format Result Cite Review PDF Full Text: Crelle EuDML
Hildebrand, Adolf Large values of character sums. (English) Zbl 0652.10029 J. Number Theory 29, No. 3, 271-296 (1988). Reviewer: J.Hinz MSC: 11L40 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Katre, S. A.; Rajwade, A. R. On the Jacobsthal sum \(\Phi_ 4(a)\) and the related sum \(\psi_ 8(a)\). (English) Zbl 0723.11038 Math. Stud. 50 (1982), No. 1-4, 194-200 (1987). Reviewer: K.S.Williams (Ottawa) MSC: 11L10 × Cite Format Result Cite Review PDF
Yao, Qi On the upper bound of the number of primes in arithmetic progression. (English) Zbl 0637.10031 Chin. Ann. Math., Ser. B 8, 449-453 (1987). Reviewer: H.-E.Richert MSC: 11N13 11N35 11L10 × Cite Format Result Cite Review PDF
Rankin, R. A. Generalized Jacobsthal sums and sums of squares. (English) Zbl 0629.10031 Acta Arith. 49, No. 1, 5-14 (1987). Reviewer: Jürgen Hinz (Marburg) MSC: 11L10 11T24 11P05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Burgess, D. A. Mean values of character sums. II. (English) Zbl 0626.10036 Mathematika 34, No. 1, 1-7 (1987). Reviewer: A.Hildebrand MSC: 11L40 11L10 × Cite Format Result Cite Review PDF Full Text: DOI
Wright, David J. Cubic character sums of cubic polynomials. (English) Zbl 0624.10031 Proc. Am. Math. Soc. 100, 409-413 (1987). Reviewer: J.Hinz MSC: 11L10 11T99 11E76 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Hiroshi On a problem of Yamamoto concerning biquadratic Gauss sums. (English) Zbl 0624.10030 Proc. Japan Acad., Ser. A 63, 35-38 (1987). Reviewer: J.Hinz MSC: 11L03 11L10 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Poulakis, Dimitrios Évaluation d’une somme cubique de caractères. (Evaluation of a cubic character sum). (French) Zbl 0619.10035 J. Number Theory 27, 41-45 (1987). Reviewer: A.R.Rajwade MSC: 11L10 14H52 14G15 11T06 × Cite Format Result Cite Review PDF Full Text: DOI
Gurak, S. Relative norms of Gauss sums. (English) Zbl 0608.12006 J. Number Theory 25, 353-359 (1987). Reviewer: J.H.Loxton MSC: 11R18 11L10 11R42 × Cite Format Result Cite Review PDF Full Text: DOI
Bushnell, Colin J. Hereditary orders, Gauss sums and supercuspidal representations of \(GL_ N\). (English) Zbl 0601.12025 J. Reine Angew. Math. 375/376, 184-210 (1987). MSC: 11S45 16H05 22E50 11S37 11L10 × Cite Format Result Cite Review PDF Full Text: DOI Crelle EuDML
Katre, S. A.; Rajwade, A. R. On the Jacobsthal sum \(\phi _ 4(a)\) and the related sum \(\psi _ 8(a)\). (English) Zbl 0631.10020 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 29, 3-7 (1986). Reviewer: J.H.Loxton MSC: 11L10 × Cite Format Result Cite Review PDF
Uehara, Tsuyoshi A certain congruence relation between Jacobi sums and cyclotomic units. (English) Zbl 0615.12006 Class numbers and fundamental units of algebraic number fields, Proc. Int. Conf., Katata/Jap. 1986, 33-52 (1986). MSC: 11R18 11R27 11L10 11B39 11D41 11R11 11R23 × Cite Format Result Cite Review PDF
Gras, Georges Détermination numérique du groupe d’Artin des extensions cycliques de \({\mathbb{Q}}\) à ramification donnée (programme FORTRAN IV - GALCYCL). (Numerical determination of the Artin group of cyclic extensions of \({\mathbb{Q}}\) with given ramification (FORTRAN IV program - GALCYCL)). (French) Zbl 0615.12004 Publ. Math. Fac. Sci. Besançon, Théor. Nombres 1984/85-1985/86, No. 2, Exp. No. 7, 34 p. (1986). MSC: 11R18 12-04 11R27 11D88 11S15 11L10 × Cite Format Result Cite Review PDF
Rohrlich, David E. Jacobi sums and explicit reciprocity laws. (English) Zbl 0612.12007 Compos. Math. 60, 97-114 (1986). Reviewer: C.U.Jensen MSC: 11R18 11A15 11S31 11L10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML