Edit Profile (opens in new tab) Wakayama, Masato Compute Distance To: Compute Author ID: wakayama.masato Published as: Wakayama, Masato; Wakayama, M. Documents Indexed: 106 Publications since 1985 9 Contributions as Editor Co-Authors: 51 Co-Authors with 100 Joint Publications 1,421 Co-Co-Authors all top 5 Co-Authors 15 single-authored 43 Kurokawa, Nobushige 15 Kimoto, Kazufumi 7 Ishikawa, Masao 5 Parmeggiani, Alberto 5 Umeda, Tôru 5 Yamasaki, Yoshinori 4 Ochiai, Hiroyuki 4 Reyes-Bustos, Cid 4 Takagi, Tsuyoshi 3 Hashimoto, Yasufumi 3 Ichinose, Takashi 3 Matsumoto, Sho 3 Noumi, Masatoshi 2 Faraut, Jacques 2 Fukumoto, Yasuhide 2 Kunihiro, Noboru 2 Nagatou, Kaori 2 Nakao, Mitsuhiro T. 2 Oshima, Toshio 2 Saburi, Yutaka 2 Sonoki, Chie 2 Tanaka, Keisuke 1 Anderssen, Robert Scott 1 Braak, Daniel 1 Cheng, Jin 1 Duong, Dung Hoang 1 Eguchi, Masaaki 1 Hamamoto, Kei 1 Haran, Shai 1 Hibi, Takayuki 1 Hirano, Miki 1 Iijima, Yasuyuki 1 Ikematsu, Yasuhiko 1 Imai, Takuro 1 Kaneko, Masanobu 1 Kawagoe, Kenichi 1 Kinoshita, Kenji 1 Kuroyama, Hitodakari 1 McKibbin, Robert 1 Mimachi, Katsuhisa 1 Müller-Stüler, Eva-Marie 1 Okada, Soichi 1 Polthier, Konrad 1 Sarnak, Peter Clive 1 Tachibana, Kazutoshi 1 Takaesu, Akira 1 Toh, Kim Chuan 1 Van Dijk, Gerrit 1 Yamamoto, Keitaro 1 Yamamoto, Masahiro 1 Yamasaki, Taishi all top 5 Serials 8 Kyushu Journal of Mathematics 7 Journal of the Ramanujan Mathematical Society 6 Forum Mathematicum 5 Proceedings of the Japan Academy. Series A 4 Hiroshima Mathematical Journal 4 Journal of Combinatorial Theory. Series A 4 International Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Journal of Physics A: Mathematical and Theoretical 3 Letters in Mathematical Physics 3 Journal of Algebra 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 The Ramanujan Journal 3 COE Lecture Note 3 Mathematics for Industry 2 Communications in Mathematical Physics 2 Duke Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Kodai Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Acta Applicandae Mathematicae 2 Indagationes Mathematicae. New Series 2 MI Lecture Note 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Advances in Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Differential Geometry and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Mathematical Sciences. University of Tokyo 1 Journal of Lie Theory 1 Documenta Mathematica 1 RIMS Kokyuroku 1 Communications in Number Theory and Physics 1 Advances in Pure and Applied Mathematics 1 Journal of Math-for-Industry all top 5 Fields 64 Number theory (11-XX) 29 Special functions (33-XX) 25 Quantum theory (81-XX) 14 Nonassociative rings and algebras (17-XX) 14 Topological groups, Lie groups (22-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Combinatorics (05-XX) 10 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 8 Abstract harmonic analysis (43-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Group theory and generalizations (20-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 Algebraic geometry (14-XX) 4 Information and communication theory, circuits (94-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 563 times in 279 Documents Cited by ▼ Year ▼ A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato 36 2003 Minor summation formula of Pfaffians. Zbl 0830.15011Ishikawa, Masao; Wakayama, Masato 33 1995 Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058Parmeggiani, Alberto; Wakayama, Masato 25 2001 Non-commutative harmonic oscillators. I. Zbl 1001.22012Parmeggiani, Alberto; Wakayama, Masato 19 2002 Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012Wakayama, Masato 16 1985 Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059Kimoto, Kazufumi; Wakayama, Masato 16 2006 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 16 1994 Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015Ishikawa, Masao; Wakayama, Masato 15 2006 Non-commutative harmonic oscillators. II. Zbl 1020.22006Parmeggiani, Alberto; Wakayama, Masato 14 2002 Absolute derivations and zeta functions. Zbl 1101.11325Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 14 2003 Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030Ichinose, Takashi; Wakayama, Masato 13 2005 Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045Kurokawa, Nobushige; Wakayama, Masato 13 2005 Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031Ichinose, Takashi; Wakayama, Masato 12 2005 \(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori 12 2008 Higher Selberg zeta functions. Zbl 1060.11050Kurokawa, Nobushige; Wakayama, Masato 11 2004 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 11 1996 Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029Wakayama, Masato; Yamasaki, Yoshinori 10 2006 Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005Ishikawa, Masao; Okada, Soichi; Wakayama, Masato 10 1996 Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056Nagatou, K.; Nakao, M. T.; Wakayama, M. 10 2002 Multiple trigonometry and zeta functions. Zbl 0995.11054Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 9 2002 Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099Ishikawa, Masao; Wakayama, Masato 9 1995 Casimir effects on Riemann surfaces. Zbl 1027.81026Kurokawa, Nobushige; Wakayama, Masato 9 2002 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 8 2004 Absolute tensor products. Zbl 1086.11041Kurokawa, Nobushige; Wakayama, Masato 8 2004 Remarks on zeta regularized products. Zbl 1091.11034Kimoto, Kazufumi; Wakayama, Masato 8 2004 On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022Kurokawa, Nobushige; Wakayama, Masato 8 2004 Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008Ishikawa, Masao; Wakayama, Masato 8 1999 Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. Zbl 1206.11109Kimoto, Kazufumi; Wakayama, Masato 7 2007 Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020Kinoshita, Kenji; Wakayama, Masato 7 2002 Equidistribution of holonomy about closed geodesics. Zbl 0939.22008Sarnak, Peter; Wakayama, Masato 7 1999 On \(q\)-basic multiple gamma functions. Zbl 1052.33015Kurokawa, Nobushige; Wakayama, Masato 6 2003 Zeta regularizations. Zbl 1054.11044Kurokawa, Nobushige; Wakayama, Masato 6 2004 Extremal values of double and triple trigonometric functions. Zbl 1058.33001Kurokawa, Nobushige; Wakayama, Masato 6 2004 On \(\zeta(3)\). Zbl 1014.11049Kurokawa, Nobushige; Wakayama, Masato 6 2001 The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194Wakayama, Masato; Yamasaki, Taishi 6 2014 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110Kurokawa, Nobushige; Wakayama, Masato 6 2008 Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006Ishikawa, Masao; Wakayama, Masato 5 2000 Zeta extensions. Zbl 1015.11043Kurokawa, Nobushige; Wakayama, Masato 5 2002 Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004Parmeggiani, A.; Wakayama, M. 5 2003 Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328Wakayama, Masato 5 2017 Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 4 2003 Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004Matsumoto, Sho; Wakayama, Masato 4 2006 Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099Wakayama, Masato 4 2013 Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079Kimoto, Kazufumi; Wakayama, Masato 4 2013 Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007Kimoto, Kazufumi; Wakayama, Masato 4 2008 Multiple finite Riemann zeta functions. Zbl 1074.11049Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato 4 2005 Hierarchy of the Selberg zeta functions. Zbl 1125.11051Hashimoto, Yasufumi; Wakayama, Masato 4 2005 On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047Ichinose, Takashi; Wakayama, Masato 4 2007 A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009Hibi, Takayuki; Wakayama, Masato 4 1995 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 4 1995 Half zeta functions. Zbl 1057.11041Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato 4 2003 A generalization of Lerch’s formula. Zbl 1114.11074Kurokawa, Nobushige; Wakayama, Masato 4 2004 Remarks on geodesics for multivariate normal models. Zbl 1321.62029Imai, Takuro; Takaesu, Akira; Wakayama, Masato 3 2011 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 1346.34057Wakayama, Masato 3 2016 Milnor’s multiple gamma functions. Zbl 1189.11043Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 3 2006 Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017Faraut, Jacques; Wakayama, Masato 3 2013 Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori 3 2013 New Schur function series. Zbl 0911.05058Ishikawa, Masao; Wakayama, Masato 3 1998 Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307Kurokawa, Nobushige; Wakayama, Masato 2 2003 Duplication formulas in triple trigonometry. Zbl 1044.33010Kurokawa, Nobushige; Wakayama, Masato 2 2003 Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066Kurokawa, Nobushige; Wakayama, Masato 2 2004 Analyticity of polylogarithmic Euler products. Zbl 1097.11046Wakayama, Masato; Kurokawa, Nobushige 2 2003 Remarks on Shintani’s zeta function. Zbl 1207.11086Wakayama, Masato 2 2005 A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato 2 1989 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321Kurokawa, Nobushige; Wakayama, Masato 2 2005 Some examples of generalized zeta regularized products. Zbl 1090.11053Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 2 2004 Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato 2 2007 A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019Wakayama, Masato 2 1991 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038Kurokawa, Nobushige; Wakayama, Masato 2 2005 Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006Kimoto, Kazufumi; Wakayama, Masato 2 2007 Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010Kimoto, Kazufumi; Wakayama, Masato 2 2002 Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato 2 2009 Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato 2 2007 Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025Wakayama, Masato 2 1985 Splitting density for lifting about discrete groups. Zbl 1148.11026Hashimoto, Yasufumi; Wakayama, Masato 2 2007 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057Kurokawa, Nobushige; Wakayama, Masato 1 2004 Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041Kurokawa, Nobushige; Wakayama, Masato 1 2006 An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003Eguchi, Masaaki; Wakayama, Masato 1 1987 A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039Wakayama, Masato 1 1989 A formula for the multiplicity of the principal series in \(L^2(\Gamma\backslash G)\). Zbl 0959.11021Kurokawa, Nobushige; Kuroyama, Hitodakari; Wakayama, Masato 1 2000 Wreath determinants for group-subgroup pairs. Zbl 1320.20007Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato 1 2015 Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato 1 2000 Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044Kurokawa, Nobushige; Wakayama, Masato 1 2005 Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375Kurokawa, Nobushige; Wakayama, Masato 1 2005 Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato 1 2002 Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023Umeda, Tôru; Wakayama, Masato 1 1998 A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062Kurokawa, Nobushige; Wakayama, Masato 1 2003 Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041Faraut, Jacques; Wakayama, Masato 1 2017 Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328Wakayama, Masato 5 2017 Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041Faraut, Jacques; Wakayama, Masato 1 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 1346.34057Wakayama, Masato 3 2016 Wreath determinants for group-subgroup pairs. Zbl 1320.20007Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato 1 2015 The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194Wakayama, Masato; Yamasaki, Taishi 6 2014 Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099Wakayama, Masato 4 2013 Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079Kimoto, Kazufumi; Wakayama, Masato 4 2013 Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017Faraut, Jacques; Wakayama, Masato 3 2013 Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori 3 2013 Remarks on geodesics for multivariate normal models. Zbl 1321.62029Imai, Takuro; Takaesu, Akira; Wakayama, Masato 3 2011 Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato 2 2009 \(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori 12 2008 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110Kurokawa, Nobushige; Wakayama, Masato 6 2008 Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007Kimoto, Kazufumi; Wakayama, Masato 4 2008 Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. Zbl 1206.11109Kimoto, Kazufumi; Wakayama, Masato 7 2007 On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047Ichinose, Takashi; Wakayama, Masato 4 2007 Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato 2 2007 Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006Kimoto, Kazufumi; Wakayama, Masato 2 2007 Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato 2 2007 Splitting density for lifting about discrete groups. Zbl 1148.11026Hashimoto, Yasufumi; Wakayama, Masato 2 2007 Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059Kimoto, Kazufumi; Wakayama, Masato 16 2006 Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015Ishikawa, Masao; Wakayama, Masato 15 2006 Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029Wakayama, Masato; Yamasaki, Yoshinori 10 2006 Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004Matsumoto, Sho; Wakayama, Masato 4 2006 Milnor’s multiple gamma functions. Zbl 1189.11043Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 3 2006 Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041Kurokawa, Nobushige; Wakayama, Masato 1 2006 Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030Ichinose, Takashi; Wakayama, Masato 13 2005 Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045Kurokawa, Nobushige; Wakayama, Masato 13 2005 Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031Ichinose, Takashi; Wakayama, Masato 12 2005 Multiple finite Riemann zeta functions. Zbl 1074.11049Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato 4 2005 Hierarchy of the Selberg zeta functions. Zbl 1125.11051Hashimoto, Yasufumi; Wakayama, Masato 4 2005 Remarks on Shintani’s zeta function. Zbl 1207.11086Wakayama, Masato 2 2005 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321Kurokawa, Nobushige; Wakayama, Masato 2 2005 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038Kurokawa, Nobushige; Wakayama, Masato 2 2005 Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044Kurokawa, Nobushige; Wakayama, Masato 1 2005 Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375Kurokawa, Nobushige; Wakayama, Masato 1 2005 Higher Selberg zeta functions. Zbl 1060.11050Kurokawa, Nobushige; Wakayama, Masato 11 2004 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 8 2004 Absolute tensor products. Zbl 1086.11041Kurokawa, Nobushige; Wakayama, Masato 8 2004 Remarks on zeta regularized products. Zbl 1091.11034Kimoto, Kazufumi; Wakayama, Masato 8 2004 On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022Kurokawa, Nobushige; Wakayama, Masato 8 2004 Zeta regularizations. Zbl 1054.11044Kurokawa, Nobushige; Wakayama, Masato 6 2004 Extremal values of double and triple trigonometric functions. Zbl 1058.33001Kurokawa, Nobushige; Wakayama, Masato 6 2004 A generalization of Lerch’s formula. Zbl 1114.11074Kurokawa, Nobushige; Wakayama, Masato 4 2004 Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066Kurokawa, Nobushige; Wakayama, Masato 2 2004 Some examples of generalized zeta regularized products. Zbl 1090.11053Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 2 2004 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057Kurokawa, Nobushige; Wakayama, Masato 1 2004 A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato 36 2003 Absolute derivations and zeta functions. Zbl 1101.11325Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 14 2003 On \(q\)-basic multiple gamma functions. Zbl 1052.33015Kurokawa, Nobushige; Wakayama, Masato 6 2003 Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004Parmeggiani, A.; Wakayama, M. 5 2003 Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 4 2003 Half zeta functions. Zbl 1057.11041Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato 4 2003 Corrections to the paper “A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes.”. Zbl 1114.11307Kurokawa, Nobushige; Wakayama, Masato 2 2003 Duplication formulas in triple trigonometry. Zbl 1044.33010Kurokawa, Nobushige; Wakayama, Masato 2 2003 Analyticity of polylogarithmic Euler products. Zbl 1097.11046Wakayama, Masato; Kurokawa, Nobushige 2 2003 A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062Kurokawa, Nobushige; Wakayama, Masato 1 2003 Non-commutative harmonic oscillators. I. Zbl 1001.22012Parmeggiani, Alberto; Wakayama, Masato 19 2002 Non-commutative harmonic oscillators. II. Zbl 1020.22006Parmeggiani, Alberto; Wakayama, Masato 14 2002 Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056Nagatou, K.; Nakao, M. T.; Wakayama, M. 10 2002 Multiple trigonometry and zeta functions. Zbl 0995.11054Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 9 2002 Casimir effects on Riemann surfaces. Zbl 1027.81026Kurokawa, Nobushige; Wakayama, Masato 9 2002 Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020Kinoshita, Kenji; Wakayama, Masato 7 2002 Zeta extensions. Zbl 1015.11043Kurokawa, Nobushige; Wakayama, Masato 5 2002 Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010Kimoto, Kazufumi; Wakayama, Masato 2 2002 Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato 1 2002 Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058Parmeggiani, Alberto; Wakayama, Masato 25 2001 On \(\zeta(3)\). Zbl 1014.11049Kurokawa, Nobushige; Wakayama, Masato 6 2001 Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006Ishikawa, Masao; Wakayama, Masato 5 2000 A formula for the multiplicity of the principal series in \(L^2(\Gamma\backslash G)\). Zbl 0959.11021Kurokawa, Nobushige; Kuroyama, Hitodakari; Wakayama, Masato 1 2000 Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato 1 2000 Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008Ishikawa, Masao; Wakayama, Masato 8 1999 Equidistribution of holonomy about closed geodesics. Zbl 0939.22008Sarnak, Peter; Wakayama, Masato 7 1999 New Schur function series. Zbl 0911.05058Ishikawa, Masao; Wakayama, Masato 3 1998 Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023Umeda, Tôru; Wakayama, Masato 1 1998 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 11 1996 Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005Ishikawa, Masao; Okada, Soichi; Wakayama, Masato 10 1996 Minor summation formula of Pfaffians. Zbl 0830.15011Ishikawa, Masao; Wakayama, Masato 33 1995 Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099Ishikawa, Masao; Wakayama, Masato 9 1995 A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009Hibi, Takayuki; Wakayama, Masato 4 1995 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 4 1995 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 16 1994 A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019Wakayama, Masato 2 1991 A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato 2 1989 A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039Wakayama, Masato 1 1989 An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003Eguchi, Masaaki; Wakayama, Masato 1 1987 Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012Wakayama, Masato 16 1985 Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025Wakayama, Masato 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 285 Authors 46 Wakayama, Masato 32 Kurokawa, Nobushige 11 Ishikawa, Masao 8 Yamasaki, Yoshinori 7 Kimoto, Kazufumi 6 Parmeggiani, Alberto 5 Connes, Alain 5 Okada, Soichi 4 Deitmar, Anton 4 Gon, Yasuro 4 Kim, Minsoo 4 Koyama, Shin-ya 4 Krattenthaler, Christian Friedrich 4 Liu, Jicai 4 Onodera, Kazuhiro 4 Tanaka, Hidekazu 4 Umeda, Tôru 4 Zeng, Jiang 3 Consani, Caterina 3 Delgado, Julio 3 Hashimoto, Yasufumi 3 Itoh, Minoru 3 Matsumoto, Sho 3 Noumi, Masatoshi 3 Ochiai, Hiroyuki 3 Park, Jinsung 3 Ragoucy, Eric 3 Reyes-Bustos, Cid 3 Ruzhansky, Michael V. 3 Singer, Johannes Maria 3 Smajlović, Lejla 3 Warnaar, S. Ole 3 Zhang, Jian 3 Zhao, Jianqiang 2 Anderson, P. J. 2 Batchelor, Murray T. 2 Chatzakou, Marianna 2 Choi, Junesang 2 Ciucu, Mihai 2 Ebrahimi-Fard, Kurusch 2 Eckstein, Michał 2 Eisenkölbl, Theresia 2 Forrester, Peter J. 2 Frappat, Luc 2 Friedman, Joshua S. 2 Gaboriaud, Julien 2 Hamel, Angèle M. 2 Hashimoto, Takashi 2 Hessami Pilehrood, Khodabakhsh 2 Hessami Pilehrood, Tatiana 2 Hiroshima, Fumio 2 Hu, Su 2 Huang, Hau-wen 2 Ichinose, Takashi 2 Jing, Naihuan 2 Jorgenson, Jay Alan 2 Jouhet, Frédéric 2 Kim, Daeyeoul 2 Lin, Rui-Hui 2 Manchon, Dominique 2 Matoya, Kazuki 2 Moree, Pieter 2 Nagatou, Kaori 2 Oki, Taihei 2 Saad Eddin, Sumaia 2 Srivastava, Hari Mohan 2 Suriajaya, Ade Irma 2 Tagawa, Hiroyuki 2 Vinet, Luc 2 Xu, Ce 2 Zhai, Xianghua 1 Akatsuka, Hirotaka 1 Alladi, Krishnaswami 1 Allouche, Jean-Paul Simon 1 Andrews, George Eyre 1 Arai, Asao 1 Avossevou, Gabriel Y. H. 1 Bachmann, Henrik 1 Banerjee, Abhishek 1 Ben Saïd, Salem 1 Betea, Dan 1 Bhagwat, Chandrasheel 1 Biesel, Owen 1 Boulton, Lyonell 1 Boutillier, Cédric 1 Bradley, David M. 1 Brahim, Kamel 1 Brent, Richard Peirce 1 Buium, Alexandru 1 Caracciolo, Sergio 1 Castillo-Medina, Jaime 1 Chang, Jen-Hsu 1 Chang, Xiangke 1 Chapoton, Frédéric 1 Chatterjee, Tapas 1 Chihara, Hiroyuki 1 Cnudde, Lander 1 Cohl, Howard Saul 1 Costas-Santos, Roberto S. 1 De Bie, Hendrik ...and 185 more Authors all top 5 Cited in 104 Serials 23 Proceedings of the Japan Academy. Series A 15 Journal of Algebra 13 Journal of Combinatorial Theory. Series A 13 The Ramanujan Journal 11 Advances in Mathematics 9 Advances in Applied Mathematics 8 Communications in Mathematical Physics 8 Letters in Mathematical Physics 8 Journal of Number Theory 7 Duke Mathematical Journal 7 International Journal of Mathematics 6 Proceedings of the American Mathematical Society 6 International Journal of Number Theory 5 Journal of Mathematical Analysis and Applications 5 Journal of Physics A: Mathematical and Theoretical 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Transactions of the American Mathematical Society 3 Journal of Mathematical Physics 3 Nuclear Physics. B 3 Colloquium Mathematicum 3 Compositio Mathematica 3 Journal of the Mathematical Society of Japan 3 Monatshefte für Mathematik 3 Forum Mathematicum 3 Linear Algebra and its Applications 3 Journal de Théorie des Nombres de Bordeaux 2 Journal d’Analyse Mathématique 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Transformation Groups 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Advances in Difference Equations 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Physica A 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 SIAM Journal on Discrete Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Stochastic Processes and their Applications 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Algebras and Representation Theory 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 European Journal of Pure and Applied Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics ...and 4 more Serials all top 5 Cited in 41 Fields 145 Number theory (11-XX) 66 Special functions (33-XX) 59 Combinatorics (05-XX) 44 Quantum theory (81-XX) 34 Nonassociative rings and algebras (17-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Algebraic geometry (14-XX) 20 Group theory and generalizations (20-XX) 18 Topological groups, Lie groups (22-XX) 17 Partial differential equations (35-XX) 13 Ordinary differential equations (34-XX) 12 Associative rings and algebras (16-XX) 12 Functions of a complex variable (30-XX) 12 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Abstract harmonic analysis (43-XX) 7 Commutative algebra (13-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 \(K\)-theory (19-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year