Edit Profile (opens in new tab) Kurokawa, Nobushige Co-Author Distance 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 440 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 819 times in 431 Documents Cited by ▼ Year ▼ Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Zbl 0397.10018 Kurokawa, Nobushige 65 1978 Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya 64 2003 A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053 Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato 41 2003 Multiple sine functions and Selberg zeta functions. Zbl 0738.11041 Kurokawa, Nobushige 38 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 18 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 16 2005 Absolute derivations and zeta functions. Zbl 1101.11325 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 16 2003 Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045 Kurokawa, Nobushige; Wakayama, Masato 13 2005 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 12 2004 On Eisenstein series of degree two. Zbl 0482.10028 Kurokawa, Nobushige; Mizumoto, Shin-ichiro 12 1981 Higher Mahler measures and zeta functions. Zbl 1211.11116 Kurokawa, N.; Lalín, M.; Ochiai, H. 12 2008 Higher Selberg zeta functions. Zbl 1060.11050 Kurokawa, Nobushige; Wakayama, Masato 11 2004 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 11 2011 Casimir effects on Riemann surfaces. Zbl 1027.81026 Kurokawa, Nobushige; Wakayama, Masato 10 2002 Zeta functions and normalized multiple sine functions. Zbl 1091.11030 Koyama, Shin-Ya; Kurokawa, Nobushige 10 2005 On Eisenstein series for Siegel modular groups. II. Zbl 0496.10015 Kurokawa, Nobushige 10 1981 Multiple trigonometry and zeta functions. Zbl 0995.11054 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 9 2002 Congruences between Siegel modular forms of degree two. II. Zbl 0482.10027 Kurokawa, Nobushige 9 1981 Zeros of Witten zeta functions and absolute limit. Zbl 1353.11097 Kurokawa, Nobushige; Ochiai, Hiroyuki 9 2013 Kummer’s formula for multiple gamma functions. Zbl 1049.11098 Koyama, Shin-ya; Kurokawa, Nobushige 9 2003 On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022 Kurokawa, Nobushige; Wakayama, Masato 9 2004 Values of the double sine function. Zbl 1160.11044 Koyama, Shin-Ya; Kurokawa, Nobushige 9 2007 On the meromorphy of Euler products. Zbl 0425.12011 Kurokawa, Nobushige 8 1978 Mahler measures via the crystalization. Zbl 1091.11036 Kurokawa, Nobushige; Ochiai, Hiroyuki 8 2005 On the meromorphy of Euler products. II. Zbl 0609.10020 Kurokawa, Nobushige 8 1986 Absolute tensor products. Zbl 1086.11041 Kurokawa, Nobushige; Wakayama, Masato 8 2004 On Linnik’s problem. Zbl 0409.12019 Kurokawa, Nobushige 7 1978 On \(\zeta(3)\). Zbl 1014.11049 Kurokawa, Nobushige; Wakayama, Masato 7 2001 Special values of Selberg zeta functions. Zbl 0684.10038 Kurokawa, Nobushige 7 1989 Dualities for absolute zeta functions and multiple gamma functions. Zbl 1373.11063 Kurokawa, Nobushige; Ochiai, Hiroyuki 7 2013 Multiple zeta functions: the double sine function and the signed double Poisson summation formula. Zbl 1135.11329 Koyama, Shin-ya; Kurokawa, Nobushige 7 2004 A multivariable Euler product of Igusa type and its applications. Zbl 1176.11065 Kurokawa, Nobushige; Ochiai, Hiroyuki 7 2009 Absolute zeta functions and the automorphy. Zbl 1390.14067 Kurokawa, Nobushige; Tanaka, Hidekazu 6 2017 On certain Euler products. Zbl 0616.10034 Kurokawa, N. 6 1987 On \(q\)-basic multiple gamma functions. Zbl 1052.33015 Kurokawa, Nobushige; Wakayama, Masato 6 2003 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 Generalized Kinkelin’s formulas. Zbl 1165.33300 Kurokawa, Nobushige; Ochiai, Hiroyuki 6 2007 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato 6 2008 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 5 2000 Zeta extensions. Zbl 1015.11043 Kurokawa, Nobushige; Wakayama, Masato 5 2002 On some Euler products. I. Zbl 0559.12009 Kurokawa, Nobushige 5 1984 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 4 2018 Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 4 2003 Euler products beyond the boundary. Zbl 1288.11083 Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige 4 2014 Analyticity of Dirichlet series over prime powers. Zbl 0707.11063 Kurokawa, Nobushige 4 1990 A generalization of Lerch’s formula. Zbl 1114.11074 Kurokawa, Nobushige; Wakayama, Masato 4 2004 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 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 Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige 4 2008 Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065 Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori 4 2013 Quantum deformations of Catalan’s constant, Mahler’s measure and the Hölder-Shintani double sine function. Zbl 1169.11037 Kurokawa, Nobushige 3 2006 On some Euler products. II. Zbl 0577.12009 Kurokawa, Nobushige 3 1984 Counting and zeta functions over \({\mathbb F}_1\). Zbl 1320.11057 Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige 3 2015 Milnor’s multiple gamma functions. Zbl 1189.11043 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 3 2006 Duplication formulas in triple trigonometry. Zbl 1044.33010 Kurokawa, Nobushige; Wakayama, Masato 3 2003 Zeta functions of categories. Zbl 0880.11063 Kurokawa, Nobushige 3 1996 Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige 3 2008 Multiple \(q\)-Mahler measures and zeta functions. Zbl 1127.11061 Gon, Yasuro; Kurokawa, Nobushige; Oyanagi, Hideo 3 2007 Normalized double sine functions. Zbl 1114.11076 Kurokawa, Nobushige; Koyama, Shin-ya 3 2003 Limit formulas for multiple Hurwitz zeta functions. Zbl 1444.11187 Kurokawa, Nobushige; Tanaka, Hidekazu 2 2018 Multiple sine functions. Zbl 1074.11515 Kurokawa, Nobushige 2 1993 Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066 Kurokawa, Nobushige; Wakayama, Masato 2 2004 String theories and prime number theories. Zbl 0633.58029 Kurokawa, Nobushige 2 1986 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato 2 2005 Some examples of generalized zeta regularized products. Zbl 1090.11053 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 2 2004 Analyticity of polylogarithmic Euler products. Zbl 1097.11046 Wakayama, Masato; Kurokawa, Nobushige 2 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 Chebyshev’s bias for Ramanujan’s \(\tau\)-function via the deep Riemann hypothesis. Zbl 1496.11122 Koyama, Shin-Ya; Kurokawa, Nobushige 2 2022 Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115 Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato 2 2007 Limit values of Eisenstein series and multiple cotangent functions. Zbl 1168.11032 Kurokawa, Nobushige 2 2008 Euclid prime sequences over unique factorization domains. Zbl 1216.11107 Kurokawa, Nobushige; Satoh, Takakazu 2 2008 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato 2 2005 Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120 Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato 2 2007 A \(p\)-analogue of Euler’s constant and congruence zeta functions. Zbl 1429.11173 Kurokawa, Nobushige; Taguchi, Yuichiro 1 2018 Triple mean values of Witten \(L\)-functions. Zbl 1398.11118 Koyama, Shin-ya; Kurokawa, Nobushige 1 2016 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 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 Zeta functions of analytic rings via Euler products. Zbl 0603.58027 Kurokawa, Nobushige 1 1986 Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041 Kurokawa, Nobushige; Wakayama, Masato 1 2006 Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Absolute Frobenius operators. Zbl 1077.11063 Kurokawa, Nobushige 1 2004 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato 1 2004 A \(q\)-Mahler measure. Zbl 1060.11068 Kurokawa, Nobushige 1 2004 The central value of the triple sine function. Zbl 1191.11024 Kurokawa, Nobushige 1 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 Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies. Zbl 1268.11132 Koyama, Shin-ya; Kurokawa, Nobushige 1 2010 Zeta functions in geometry. Zbl 0771.00036 1 1992 Zeta functions and Casimir energies on infinite symmetric groups. Zbl 1243.11091 Kurokawa, Nobushige; Ochiai, Hiroyuki 1 2007 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 4 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 6 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 7 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 11 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 central value of the triple sine function. Zbl 1191.11024 Kurokawa, Nobushige 1 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 Higher Mahler measures and zeta functions. Zbl 1211.11116 Kurokawa, N.; Lalín, M.; Ochiai, H. 12 2008 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato 6 2008 Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige 4 2008 Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige 3 2008 Limit values of Eisenstein series and multiple cotangent functions. Zbl 1168.11032 Kurokawa, Nobushige 2 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 9 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 16 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 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato 2 2005 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato 2 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 Values of absolute tensor products. Zbl 1141.11317 Kurokawa, Nobushige 1 2005 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 12 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 8 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 Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066 Kurokawa, Nobushige; Wakayama, Masato 2 2004 Some examples of generalized zeta regularized products. Zbl 1090.11053 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 2 2004 Absolute Frobenius operators. Zbl 1077.11063 Kurokawa, Nobushige 1 2004 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato 1 2004 A \(q\)-Mahler measure. Zbl 1060.11068 Kurokawa, Nobushige 1 2004 Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya 64 2003 A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053 Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato 41 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 Analyticity of polylogarithmic Euler products. Zbl 1097.11046 Wakayama, Masato; Kurokawa, Nobushige 2 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 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 5 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 38 1991 Analyticity of Dirichlet series over prime powers. Zbl 0707.11063 Kurokawa, Nobushige 4 1990 Special values of Selberg zeta functions. Zbl 0684.10038 Kurokawa, Nobushige 7 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 18 1986 On the meromorphy of Euler products. II. Zbl 0609.10020 Kurokawa, Nobushige 8 1986 String theories and prime number theories. Zbl 0633.58029 Kurokawa, Nobushige 2 1986 Special values of Euler products and Hardy-Littlewood constants. Zbl 0588.10040 Kurokawa, Nobushige 1 1986 Zeta functions of analytic rings via Euler products. Zbl 0603.58027 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 394 Authors 63 Kurokawa, Nobushige 25 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 Consani, Caterina 4 Deitmar, Anton 4 Fomenko, Oleg Mstislavovich 4 Heim, Bernhard Ernst 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 Borwein, Jonathan Michael 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 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 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 Friedman, Joshua S. 2 Garg, Sonam 2 Gerasimov, Anton A. 2 Ghitza, Alexandru 2 Grigutis, Andrius 2 Hashimoto, Yasufumi 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 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 Ostrovskii, Dmitrii M. 2 Oyanagi, Hideo 2 Park, Jinsung 2 Piatetski-Shapiro, Ilya 2 Rogers, Mathew D. 2 Saad Eddin, Sumaia 2 Shukla, Alok 2 Skoruppa, Nils-Peter 2 Spreafico, Mauro 2 Srivastava, Hari Mohan 2 Straub, Armin 2 Suriajaya, Ade Irma 2 Takeyama, Yoshihiro ...and 294 more Authors all top 5 Cited in 120 Serials 59 Proceedings of the Japan Academy. Series A 44 Journal of Number Theory 21 The Ramanujan Journal 21 Journal of High Energy Physics 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 Manuscripta Mathematica 6 Journal de Théorie des Nombres de Bordeaux 5 Communications in Mathematical Physics 5 Journal of Mathematical Sciences (New York) 5 Research in Number Theory 4 Journal of Mathematical Analysis and Applications 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Monatshefte für Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Transactions of the American Mathematical Society 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 Algebra 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 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 Memoirs of the American Mathematical Society 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Physics, Analysis and Geometry 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 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 Indagationes Mathematicae. New Series 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 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Electronic Journal of Probability 1 Abstract and Applied Analysis ...and 20 more Serials all top 5 Cited in 43 Fields 365 Number theory (11-XX) 68 Special functions (33-XX) 56 Algebraic geometry (14-XX) 47 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 12 Combinatorics (05-XX) 10 Functions of a complex variable (30-XX) 9 Associative rings and algebras (16-XX) 9 Group theory and generalizations (20-XX) 8 Nonassociative rings and algebras (17-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Category theory; homological algebra (18-XX) 6 \(K\)-theory (19-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 6 Relativity and gravitational theory (83-XX) 4 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-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) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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