Edit Profile (opens in new tab) Wakayama, Masato Co-Author Distance Author ID: wakayama.masato Published as: Wakayama, Masato; Wakayama, M. Documents Indexed: 113 Publications since 1985, including 3 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 53 Co-Authors with 107 Joint Publications 1,482 Co-Co-Authors all top 5 Co-Authors 15 single-authored 43 Kurokawa, Nobushige 17 Kimoto, Kazufumi 8 Reyes-Bustos, Cid 7 Ishikawa, Masao 5 Parmeggiani, Alberto 5 Umeda, Tôru 5 Yamasaki, Yoshinori 4 Ochiai, Hiroyuki 4 Takagi, Tsuyoshi 3 Hashimoto, Yasufumi 3 Ichinose, Takashi 3 Matsumoto, Sho 3 Noumi, Masatoshi 2 Braak, Daniel 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 Cheng, Jin 1 Duong, Dung Hoang 1 Eguchi, Masaaki 1 Fesenko, Ivan Borisovich 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 Nguyen, Linh Thi Hoai 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 Communications in Mathematical Physics 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 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 Advances in Theoretical and Mathematical Physics 1 RIMS Kokyuroku 1 Communications in Number Theory and Physics 1 Advances in Pure and Applied Mathematics 1 Journal of Math-for-Industry 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 European Mathematical Society Magazine all top 5 Fields 68 Number theory (11-XX) 31 Special functions (33-XX) 30 Quantum theory (81-XX) 16 Topological groups, Lie groups (22-XX) 14 Nonassociative rings and algebras (17-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) 9 Abstract harmonic analysis (43-XX) 8 Partial differential equations (35-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Group theory and generalizations (20-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 Optics, electromagnetic theory (78-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 673 times in 324 Documents Cited by ▼ Year ▼ A variation of Euler’s approach to values of the Riemann zeta function. Zbl 1067.11053 Kaneko, Masanobu; Kurokawa, Nobushige; Wakayama, Masato 41 2003 Minor summation formula of Pfaffians. Zbl 0830.15011 Ishikawa, Masao; Wakayama, Masato 37 1995 Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058 Parmeggiani, Alberto; Wakayama, Masato 30 2001 Non-commutative harmonic oscillators. I. Zbl 1001.22012 Parmeggiani, Alberto; Wakayama, Masato 23 2002 Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059 Kimoto, Kazufumi; Wakayama, Masato 20 2006 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 19 1994 Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031 Ichinose, Takashi; Wakayama, Masato 18 2005 Non-commutative harmonic oscillators. II. Zbl 1020.22006 Parmeggiani, Alberto; Wakayama, Masato 18 2002 Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030 Ichinose, Takashi; Wakayama, Masato 17 2005 Absolute derivations and zeta functions. Zbl 1101.11325 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 16 2003 Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012 Wakayama, Masato 16 1985 Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328 Wakayama, Masato 16 2017 Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015 Ishikawa, Masao; Wakayama, Masato 15 2006 Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045 Kurokawa, Nobushige; Wakayama, Masato 13 2005 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 13 1996 \(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095 Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori 12 2008 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 12 2004 Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056 Nagatou, K.; Nakao, M. T.; Wakayama, M. 12 2002 Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. Zbl 1206.11109 Kimoto, Kazufumi; Wakayama, Masato 11 2007 Higher Selberg zeta functions. Zbl 1060.11050 Kurokawa, Nobushige; Wakayama, Masato 11 2004 Casimir effects on Riemann surfaces. Zbl 1027.81026 Kurokawa, Nobushige; Wakayama, Masato 10 2002 Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005 Ishikawa, Masao; Okada, Soichi; Wakayama, Masato 10 1996 Remarks on zeta regularized products. Zbl 1091.11034 Kimoto, Kazufumi; Wakayama, Masato 9 2004 Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099 Ishikawa, Masao; Wakayama, Masato 9 1995 Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004 Parmeggiani, A.; Wakayama, M. 9 2003 On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022 Kurokawa, Nobushige; Wakayama, Masato 9 2004 Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029 Wakayama, Masato; Yamasaki, Yoshinori 9 2006 Multiple trigonometry and zeta functions. Zbl 0995.11054 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 9 2002 Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008 Ishikawa, Masao; Wakayama, Masato 8 1999 Equidistribution of holonomy about closed geodesics. Zbl 0939.22008 Sarnak, Peter; Wakayama, Masato 8 1999 Absolute tensor products. Zbl 1086.11041 Kurokawa, Nobushige; Wakayama, Masato 8 2004 Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model. Zbl 1514.81115 Kimoto, Kazufumi; Reyes-Bustos, Cid; Wakayama, Masato 8 2021 On \(\zeta(3)\). Zbl 1014.11049 Kurokawa, Nobushige; Wakayama, Masato 7 2001 Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020 Kinoshita, Kenji; Wakayama, Masato 7 2002 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 The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194 Wakayama, Masato; Yamasaki, Taishi 6 2014 Equivalence between the eigenvalue problem of non-commutative harmonic oscillators and existence of holomorphic solutions of Heun differential equations, eigenstates degeneration, and the Rabi model. Zbl 1346.34057 Wakayama, Masato 6 2016 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato 6 2008 Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079 Kimoto, Kazufumi; Wakayama, Masato 6 2013 Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099 Wakayama, Masato 6 2013 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 5 1995 Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006 Ishikawa, Masao; Wakayama, Masato 5 2000 Half zeta functions. Zbl 1057.11041 Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato 5 2003 On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047 Ichinose, Takashi; Wakayama, Masato 5 2007 Zeta extensions. Zbl 1015.11043 Kurokawa, Nobushige; Wakayama, Masato 5 2002 Remarks on the hidden symmetry of the asymmetric quantum Rabi model. Zbl 1519.81315 Reyes-Bustos, Cid; Braak, Daniel; Wakayama, Masato 5 2021 Heat kernel for the quantum Rabi model. II: Propagators and spectral determinants. Zbl 1519.81200 Reyes-Bustos, Cid; Wakayama, Masato 5 2021 Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007 Kimoto, Kazufumi; Wakayama, Masato 4 2008 A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009 Hibi, Takayuki; Wakayama, Masato 4 1995 Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085 Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato 4 2003 Hierarchy of the Selberg zeta functions. Zbl 1125.11051 Hashimoto, Yasufumi; Wakayama, Masato 4 2005 Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004 Matsumoto, Sho; Wakayama, Masato 4 2006 Multiple finite Riemann zeta functions. Zbl 1074.11049 Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato 4 2005 A generalization of Lerch’s formula. Zbl 1114.11074 Kurokawa, Nobushige; Wakayama, Masato 4 2004 Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065 Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori 4 2013 New Schur function series. Zbl 0911.05058 Ishikawa, Masao; Wakayama, Masato 3 1998 Duplication formulas in triple trigonometry. Zbl 1044.33010 Kurokawa, Nobushige; Wakayama, Masato 3 2003 Milnor’s multiple gamma functions. Zbl 1189.11043 Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato 3 2006 Heat kernel for the quantum Rabi model. Zbl 1521.81508 Reyes-Bustos, Cid; Wakayama, Masato 3 2022 Remarks on geodesics for multivariate normal models. Zbl 1321.62029 Imai, Takuro; Takaesu, Akira; Wakayama, Masato 3 2011 Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017 Faraut, Jacques; Wakayama, Masato 3 2013 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato 2 2005 Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006 Kimoto, Kazufumi; Wakayama, Masato 2 2007 Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120 Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato 2 2007 Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115 Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato 2 2007 Splitting density for lifting about discrete groups. Zbl 1148.11026 Hashimoto, Yasufumi; Wakayama, Masato 2 2007 Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025 Wakayama, Masato 2 1985 Analyticity of polylogarithmic Euler products. Zbl 1097.11046 Wakayama, Masato; Kurokawa, Nobushige 2 2003 Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010 Kimoto, Kazufumi; Wakayama, Masato 2 2002 Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009 Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato 2 2009 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 Remarks on Shintani’s zeta function. Zbl 1207.11086 Wakayama, Masato 2 2005 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato 2 2005 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 A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040 Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato 2 1989 A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019 Wakayama, Masato 2 1991 Mathematical modelling for next-generation cryptography. CREST Crypto-Math project. Zbl 1383.94002 2 2018 Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias. Zbl 1513.81056 Reyes-Bustos, Cid; Wakayama, Masato 2 2022 An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003 Eguchi, Masaaki; Wakayama, Masato 1 1987 A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039 Wakayama, Masato 1 1989 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 Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023 Umeda, Tôru; Wakayama, Masato 1 1998 Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519 Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato 1 2000 A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062 Kurokawa, Nobushige; Wakayama, Masato 1 2003 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato 1 2004 Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041 Kurokawa, Nobushige; Wakayama, Masato 1 2006 Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041 Faraut, Jacques; Wakayama, Masato 1 2017 Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079 Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato 1 2002 Wreath determinants for group-subgroup pairs. Zbl 1320.20007 Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato 1 2015 Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Zbl 07684671 Kimoto, Kazufumi; Wakayama, Masato 1 2023 Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals. Zbl 07684671 Kimoto, Kazufumi; Wakayama, Masato 1 2023 Heat kernel for the quantum Rabi model. Zbl 1521.81508 Reyes-Bustos, Cid; Wakayama, Masato 3 2022 Degeneracy and hidden symmetry for the asymmetric quantum Rabi model with integral bias. Zbl 1513.81056 Reyes-Bustos, Cid; Wakayama, Masato 2 2022 Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model. Zbl 1514.81115 Kimoto, Kazufumi; Reyes-Bustos, Cid; Wakayama, Masato 8 2021 Remarks on the hidden symmetry of the asymmetric quantum Rabi model. Zbl 1519.81315 Reyes-Bustos, Cid; Braak, Daniel; Wakayama, Masato 5 2021 Heat kernel for the quantum Rabi model. II: Propagators and spectral determinants. Zbl 1519.81200 Reyes-Bustos, Cid; Wakayama, Masato 5 2021 Mathematical modelling for next-generation cryptography. CREST Crypto-Math project. Zbl 1383.94002 2 2018 Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328 Wakayama, Masato 16 2017 Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041 Faraut, 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 1346.34057 Wakayama, Masato 6 2016 Wreath determinants for group-subgroup pairs. Zbl 1320.20007 Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato 1 2015 The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194 Wakayama, Masato; Yamasaki, Taishi 6 2014 Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079 Kimoto, Kazufumi; Wakayama, Masato 6 2013 Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. Zbl 1278.34099 Wakayama, Masato 6 2013 Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065 Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori 4 2013 Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017 Faraut, Jacques; Wakayama, Masato 3 2013 Remarks on geodesics for multivariate normal models. Zbl 1321.62029 Imai, Takuro; Takaesu, Akira; Wakayama, Masato 3 2011 Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009 Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato 2 2009 \(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095 Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori 12 2008 Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110 Kurokawa, Nobushige; Wakayama, Masato 6 2008 Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007 Kimoto, 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 1206.11109 Kimoto, Kazufumi; Wakayama, Masato 11 2007 On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047 Ichinose, Takashi; Wakayama, Masato 5 2007 Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006 Kimoto, Kazufumi; Wakayama, Masato 2 2007 Jackson’s integral of the Hurwitz zeta function. Zbl 1196.11120 Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato 2 2007 Jackson-Mellin’s transform of modular forms and \(q\)-zeta functions. Zbl 1195.11115 Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato 2 2007 Splitting density for lifting about discrete groups. Zbl 1148.11026 Hashimoto, Yasufumi; Wakayama, Masato 2 2007 Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059 Kimoto, Kazufumi; Wakayama, Masato 20 2006 Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015 Ishikawa, Masao; Wakayama, Masato 15 2006 Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029 Wakayama, Masato; Yamasaki, Yoshinori 9 2006 Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004 Matsumoto, Sho; Wakayama, Masato 4 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 for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031 Ichinose, Takashi; Wakayama, Masato 18 2005 Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030 Ichinose, Takashi; Wakayama, Masato 17 2005 Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045 Kurokawa, Nobushige; Wakayama, Masato 13 2005 Hierarchy of the Selberg zeta functions. Zbl 1125.11051 Hashimoto, Yasufumi; Wakayama, Masato 4 2005 Multiple finite Riemann zeta functions. Zbl 1074.11049 Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato 4 2005 A \(q\)-logarithmic analogue of Euler’s sine integral. Zbl 1118.11038 Kurokawa, Nobushige; Wakayama, Masato 2 2005 Remarks on Shintani’s zeta function. Zbl 1207.11086 Wakayama, Masato 2 2005 Gamma and sine functions for Lie groups and period integrals. Zbl 1168.11321 Kurokawa, Nobushige; Wakayama, Masato 2 2005 Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044 Kurokawa, Nobushige; Wakayama, Masato 1 2005 Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062 Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato 12 2004 Higher Selberg zeta functions. Zbl 1060.11050 Kurokawa, Nobushige; Wakayama, Masato 11 2004 Remarks on zeta regularized products. Zbl 1091.11034 Kimoto, Kazufumi; Wakayama, Masato 9 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 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 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 Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057 Kurokawa, Nobushige; Wakayama, Masato 1 2004 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 Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004 Parmeggiani, A.; Wakayama, M. 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 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 Non-commutative harmonic oscillators. I. Zbl 1001.22012 Parmeggiani, Alberto; Wakayama, Masato 23 2002 Non-commutative harmonic oscillators. II. Zbl 1020.22006 Parmeggiani, Alberto; Wakayama, Masato 18 2002 Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056 Nagatou, K.; Nakao, M. T.; Wakayama, M. 12 2002 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 Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020 Kinoshita, Kenji; Wakayama, Masato 7 2002 Zeta extensions. Zbl 1015.11043 Kurokawa, Nobushige; Wakayama, Masato 5 2002 Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010 Kimoto, Kazufumi; Wakayama, Masato 2 2002 Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079 Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato 1 2002 Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058 Parmeggiani, Alberto; Wakayama, Masato 30 2001 On \(\zeta(3)\). Zbl 1014.11049 Kurokawa, Nobushige; Wakayama, Masato 7 2001 Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006 Ishikawa, Masao; Wakayama, Masato 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 Solutions with guaranteed accuracy for coupling-type eigenvalue problems related to noncommutative harmonic oscillators. Zbl 0968.65519 Nagatou, Kaori; Nakao, Mitsuhiro T.; Wakayama, Masato 1 2000 Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008 Ishikawa, Masao; Wakayama, Masato 8 1999 Equidistribution of holonomy about closed geodesics. Zbl 0939.22008 Sarnak, Peter; Wakayama, Masato 8 1999 New Schur function series. Zbl 0911.05058 Ishikawa, Masao; Wakayama, Masato 3 1998 Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023 Umeda, Tôru; Wakayama, Masato 1 1998 Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 13 1996 Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005 Ishikawa, Masao; Okada, Soichi; Wakayama, Masato 10 1996 Minor summation formula of Pfaffians. Zbl 0830.15011 Ishikawa, Masao; Wakayama, Masato 37 1995 Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099 Ishikawa, Masao; Wakayama, Masato 9 1995 A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 5 1995 A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009 Hibi, Takayuki; Wakayama, Masato 4 1995 A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013 Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato 19 1994 A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019 Wakayama, Masato 2 1991 A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040 Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato 2 1989 A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039 Wakayama, Masato 1 1989 An elementary proof of the Trombi theorem for the Fourier transform of \({\mathcal C}^ p(G:F)\). Zbl 0666.43003 Eguchi, Masaaki; Wakayama, Masato 1 1987 Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012 Wakayama, Masato 16 1985 Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025 Wakayama, Masato 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 345 Authors 50 Wakayama, Masato 32 Kurokawa, Nobushige 11 Ishikawa, Masao 8 Kimoto, Kazufumi 8 Yamasaki, Yoshinori 7 Okada, Soichi 7 Parmeggiani, Alberto 7 Reyes-Bustos, Cid 6 Connes, Alain 5 Batchelor, Murray T. 5 Krattenthaler, Christian Friedrich 4 Consani, Caterina 4 Deitmar, Anton 4 Gon, Yasuro 4 Kim, Minsoo 4 Koyama, Shin-ya 4 Liu, Jicai 4 Ochiai, Hiroyuki 4 Onodera, Kazuhiro 4 Ragoucy, Eric 4 Tanaka, Hidekazu 4 Umeda, Tôru 4 Zeng, Jiang 3 Delgado, Julio 3 Frappat, Luc 3 Gaboriaud, Julien 3 Hashimoto, Yasufumi 3 Itoh, Minoru 3 Li, Zi-Min 3 Matsumoto, Sho 3 Moree, Pieter 3 Noumi, Masatoshi 3 Park, Jinsung 3 Ruzhansky, Michael V. 3 Singer, Johannes Maria 3 Smajlović, Lejla 3 Vinet, Luc 3 Warnaar, S. Ole 3 Zhang, Jian 3 Zhao, Jianqiang 2 Anderson, P. J. 2 Braak, Daniel 2 Chatterjee, Tapas 2 Chatzakou, Marianna 2 Chen, Qinghu 2 Choi, Junesang 2 Ciucu, Mihai 2 Ebrahimi-Fard, Kurusch 2 Eckstein, Michał 2 Eisenkölbl, Theresia 2 Forrester, Peter J. 2 Friedman, Joshua S. 2 Garg, Sonam 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 Malagutti, Marcello 2 Manchon, Dominique 2 Mangazeev, Vladimir V. 2 Matoya, Kazuki 2 Nagatou, Kaori 2 Oki, Taihei 2 Saad Eddin, Sumaia 2 Saponov, Pavel A. 2 Srivastava, Hari Mohan 2 Suriajaya, Ade Irma 2 Tagawa, Hiroyuki 2 Takeyama, Yoshihiro 2 Voros, André 2 Xie, You-Fei 2 Xu, Ce 2 Zhai, Xianghua 1 Akatsuka, Hirotaka 1 Alladi, Krishnaswami 1 Andrews, George Eyre 1 Arai, Asao 1 Avossevou, Gabriel Y. H. 1 Bachmann, Henrik 1 Banerjee, Abhishek 1 Bazhanov, Vladimir V. 1 Ben Saïd, Salem 1 Betea, Dan 1 Bhagwat, Chandrasheel 1 Bllaca, Kajtaz H. 1 Boulton, Lyonell 1 Bousquet-Mélou, Mireille 1 Boutillier, Cédric 1 Bradley, David M. 1 Brahim, Kamel 1 Brent, Richard Peirce ...and 245 more Authors all top 5 Cited in 113 Serials 23 Proceedings of the Japan Academy. Series A 18 Journal of Physics A: Mathematical and Theoretical 15 Journal of Algebra 13 Journal of Combinatorial Theory. Series A 13 The Ramanujan Journal 12 Advances in Mathematics 10 Communications in Mathematical Physics 9 Letters in Mathematical Physics 9 Advances in Applied Mathematics 8 Journal of Number Theory 7 Duke Mathematical Journal 7 Proceedings of the American Mathematical Society 7 International Journal of Mathematics 6 Journal of Mathematical Analysis and Applications 6 International Journal of Number Theory 5 Transactions of the American Mathematical Society 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal of High Energy Physics 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 of the Ramanujan Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Finite Fields and their Applications 2 Bulletin des Sciences Mathématiques 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 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 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 Asymptotic Analysis 1 SIAM Journal on Discrete Mathematics 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 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 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 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics ...and 13 more Serials all top 5 Cited in 47 Fields 164 Number theory (11-XX) 71 Special functions (33-XX) 65 Quantum theory (81-XX) 62 Combinatorics (05-XX) 40 Nonassociative rings and algebras (17-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 24 Algebraic geometry (14-XX) 23 Partial differential equations (35-XX) 22 Group theory and generalizations (20-XX) 22 Global analysis, analysis on manifolds (58-XX) 20 Topological groups, Lie groups (22-XX) 14 Associative rings and algebras (16-XX) 13 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 12 Functions of a complex variable (30-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Abstract harmonic analysis (43-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Commutative algebra (13-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 5 \(K\)-theory (19-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 5 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 3 Approximations and expansions (41-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year