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Wakayama, Masato

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Author ID: wakayama.masato Recent zbMATH articles by "Wakayama, Masato"
Published as: Wakayama, Masato; Wakayama, M.
Documents Indexed: 111 Publications since 1985, including 9 Books
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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
3 Letters in Mathematical Physics
3 Journal of Algebra
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 IMRN. International Mathematics Research Notices
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 Journal of Physics A: Mathematical and Theoretical
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 Tohoku 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 Advances in Pure and Applied Mathematics
1 Journal of Math-for-Industry

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 520 times in 261 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
34
2003
Minor summation formula of Pfaffians. Zbl 0830.15011
Ishikawa, Masao; Wakayama, Masato
31
1995
Oscillator representations and systems of ordinary differential equations. Zbl 1065.81058
Parmeggiani, Alberto; Wakayama, Masato
20
2001
Zeta functions of Selberg’s type associated with homogeneous vector bundles. Zbl 0592.22012
Wakayama, Masato
15
1985
Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015
Ishikawa, Masao; Wakayama, Masato
15
2006
Non-commutative harmonic oscillators. I. Zbl 1001.22012
Parmeggiani, Alberto; Wakayama, Masato
14
2002
A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
14
1994
Non-commutative harmonic oscillators. II. Zbl 1020.22006
Parmeggiani, Alberto; Wakayama, Masato
13
2002
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045
Kurokawa, Nobushige; Wakayama, Masato
13
2005
Absolute derivations and zeta functions. Zbl 1101.11325
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato
13
2003
Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059
Kimoto, Kazufumi; Wakayama, Masato
12
2006
Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations. Zbl 1123.11030
Ichinose, Takashi; Wakayama, Masato
12
2005
Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
11
1996
Higher Selberg zeta functions. Zbl 1060.11050
Kurokawa, Nobushige; Wakayama, Masato
11
2004
Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031
Ichinose, Takashi; Wakayama, Masato
11
2005
\(q\)-analogues of the Riemann zeta, the Dirichlet \(L\)-functions, and a crystal zeta function. Zbl 1205.11095
Kawagoe, Kenichi; Wakayama, Masato; Yamasaki, Yoshinori
11
2008
Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005
Ishikawa, Masao; Okada, Soichi; Wakayama, Masato
10
1996
Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056
Nagatou, K.; Nakao, M. T.; Wakayama, M.
10
2002
Multiple trigonometry and zeta functions. Zbl 0995.11054
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato
9
2002
Minor summation formula of pfaffians and Schur function identities. Zbl 0840.05099
Ishikawa, Masao; Wakayama, Masato
9
1995
Casimir effects on Riemann surfaces. Zbl 1027.81026
Kurokawa, Nobushige; Wakayama, Masato
8
2002
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062
Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato
8
2004
Absolute tensor products. Zbl 1086.11041
Kurokawa, Nobushige; Wakayama, Masato
8
2004
Remarks on zeta regularized products. Zbl 1091.11034
Kimoto, Kazufumi; Wakayama, Masato
8
2004
Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029
Wakayama, Masato; Yamasaki, Yoshinori
7
2006
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022
Kurokawa, Nobushige; Wakayama, Masato
7
2004
Applications of minor-summation formula. II: Pfaffians and Schur polynomials. Zbl 0947.15008
Ishikawa, Masao; Wakayama, Masato
7
1999
Explicit Capelli identities for skew symmetric matrices. Zbl 1035.17020
Kinoshita, Kenji; Wakayama, Masato
7
2002
On \(\zeta(3)\). Zbl 1014.11049
Kurokawa, Nobushige; Wakayama, Masato
6
2001
Period deformations and Raabe’s formulas for generalized gamma and sine functions. Zbl 1206.11110
Kurokawa, Nobushige; Wakayama, Masato
6
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
6
2007
Equidistribution of holonomy about closed geodesics. Zbl 0939.22008
Sarnak, Peter; Wakayama, Masato
6
1999
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
Zeta extensions. Zbl 1015.11043
Kurokawa, Nobushige; Wakayama, Masato
5
2002
Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004
Parmeggiani, A.; Wakayama, M.
5
2003
The quantum Rabi model and Lie algebra representations of \(\mathfrak{sl}_{2}\). Zbl 1297.81194
Wakayama, Masato; Yamasaki, Taishi
5
2014
Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato
4
2003
Invariant theory for singular \(\alpha \)-determinants. Zbl 1210.15007
Kimoto, Kazufumi; Wakayama, Masato
4
2008
On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047
Ichinose, Takashi; Wakayama, Masato
4
2007
Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006
Ishikawa, Masao; Wakayama, Masato
4
2000
A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
4
1995
A \(q\)-analogue of Capelli’s identity for \(\text{GL}(2)\). Zbl 0937.17009
Hibi, Takayuki; Wakayama, Masato
4
1995
Half zeta functions. Zbl 1057.11041
Hirano, Miki; Kurokawa, Nobushige; Wakayama, Masato
4
2003
Multiple finite Riemann zeta functions. Zbl 1074.11049
Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato
4
2005
Hierarchy of the Selberg zeta functions. Zbl 1125.11051
Hashimoto, Yasufumi; Wakayama, Masato
4
2005
Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079
Kimoto, Kazufumi; Wakayama, Masato
4
2013
A generalization of Lerch’s formula. Zbl 1114.11074
Kurokawa, Nobushige; Wakayama, Masato
4
2004
Alpha-determinant cyclic modules of \({\mathfrak {gl}}_n(\mathbb C)\). Zbl 1102.17004
Matsumoto, Sho; Wakayama, Masato
4
2006
Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328
Wakayama, Masato
4
2017
New Schur function series. Zbl 0911.05058
Ishikawa, Masao; Wakayama, Masato
3
1998
Milnor’s multiple gamma functions. Zbl 1189.11043
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato
3
2006
Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017
Faraut, Jacques; Wakayama, Masato
3
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
3
2013
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065
Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori
3
2013
Zeta regularized product expressions for multiple trigonometric functions. Zbl 1065.11066
Kurokawa, Nobushige; Wakayama, Masato
2
2004
A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019
Wakayama, Masato
2
1991
Remarks on geodesics for multivariate normal models. Zbl 1321.62029
Imai, Takuro; Takaesu, Akira; Wakayama, Masato
2
2011
Splitting density for lifting about discrete groups. Zbl 1148.11026
Hashimoto, Yasufumi; 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
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
Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006
Kimoto, Kazufumi; Wakayama, Masato
2
2007
Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. Zbl 1189.17009
Kimoto, Kazufumi; Matsumoto, Sho; Wakayama, Masato
2
2009
Remarks on Shintani’s zeta function. Zbl 1207.11086
Wakayama, Masato
2
2005
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
Duplication formulas in triple trigonometry. Zbl 1044.33010
Kurokawa, Nobushige; Wakayama, Masato
2
2003
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
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
2
2016
A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039
Wakayama, Masato
1
1989
A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040
Oshima, Toshio; Saburi, Yutaka; Wakayama, Masato
1
1989
Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023
Umeda, Tôru; Wakayama, Masato
1
1998
Equidistribution of holonomy restricted to a homology class about closed geodesics. Zbl 0993.22010
Kimoto, Kazufumi; Wakayama, Masato
1
2002
Certain families of elliptic functions defined by \(q\)-series. Zbl 1151.11044
Kurokawa, Nobushige; Wakayama, Masato
1
2005
Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025
Wakayama, Masato
1
1985
Regularizations and finite ladders in multiple trigonometry. Zbl 1161.11375
Kurokawa, Nobushige; Wakayama, Masato
1
2005
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
Kronecker’s Jugendtraum and ring sine functions. Zbl 1026.11079
Kurokawa, Nobushige; Müller-Stüler, Eva-Marie; Ochiai, Hiroyuki; Wakayama, Masato
1
2002
A comparison between the sum over Selberg’s zeroes and Riemann’s zeroes. Zbl 1052.11062
Kurokawa, Nobushige; Wakayama, Masato
1
2003
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
Ruelle type zeta functions for tori and some arithmetics. Zbl 1090.11057
Kurokawa, Nobushige; Wakayama, Masato
1
2004
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
Algebraicity and transcendency of basic special values of Shintani’s double sine functions. Zbl 1115.11041
Kurokawa, Nobushige; Wakayama, Masato
1
2006
Wreath determinants for group-subgroup pairs. Zbl 1320.20007
Hamamoto, Kei; Kimoto, Kazufumi; Tachibana, Kazutoshi; Wakayama, Masato
1
2015
Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials. Zbl 1385.53041
Faraut, Jacques; Wakayama, Masato
1
2017
Symmetry of asymmetric quantum Rabi models. Zbl 1366.81328
Wakayama, Masato
4
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
2
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
5
2014
Spectrum of non-commutative harmonic oscillators and residual modular forms. Zbl 1292.81079
Kimoto, Kazufumi; Wakayama, Masato
4
2013
Invariant differential operators on the Heisenberg group and Meixner-Pollaczek polynomials. Zbl 1276.32017
Faraut, Jacques; Wakayama, Masato
3
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
3
2013
Milnor-Selberg zeta functions and zeta regularizations. Zbl 1347.11065
Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori
3
2013
Remarks on geodesics for multivariate normal models. Zbl 1321.62029
Imai, Takuro; Takaesu, Akira; Wakayama, Masato
2
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
11
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
6
2007
On the spectral zeta function for the noncommutative harmonic oscillator. Zbl 1190.11047
Ichinose, Takashi; Wakayama, Masato
4
2007
Splitting density for lifting about discrete groups. Zbl 1148.11026
Hashimoto, Yasufumi; 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
Quantum \(\alpha\)-determinant cyclic modules of \(\mathcal U_q(\mathfrak{gl}_n)\). Zbl 1180.17006
Kimoto, Kazufumi; Wakayama, Masato
2
2007
Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities. Zbl 1089.15015
Ishikawa, Masao; Wakayama, Masato
15
2006
Apéry-like numbers arising from special values of spectral zeta functions for non-commutative harmonic oscillators. Zbl 1131.11059
Kimoto, Kazufumi; Wakayama, Masato
12
2006
Integral representations of \(q\)-analogues of the Hurwitz zeta function. Zbl 1110.11029
Wakayama, Masato; Yamasaki, Yoshinori
7
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
Generalized zeta regularizations, quantum class number formulas, and Appell’s \(O\)-functions. Zbl 1148.11045
Kurokawa, Nobushige; Wakayama, Masato
13
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
12
2005
Zeta functions for the spectrum of the non-commutative harmonic oscillators. Zbl 1145.81031
Ichinose, Takashi; Wakayama, Masato
11
2005
Multiple finite Riemann zeta functions. Zbl 1074.11049
Kimoto, Kazufumi; Kurokawa, Nobushige; Matsumoto, Sho; Wakayama, Masato
4
2005
Hierarchy of the Selberg zeta functions. Zbl 1125.11051
Hashimoto, Yasufumi; Wakayama, Masato
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
Remarks on Shintani’s zeta function. Zbl 1207.11086
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
Higher Selberg zeta functions. Zbl 1060.11050
Kurokawa, Nobushige; Wakayama, Masato
11
2004
Euler’s constants for the Selberg and the Dedekind zeta functions. Zbl 1080.11062
Hashimoto, Yasufumi; Iijima, Yasuyuki; Kurokawa, Nobushige; Wakayama, Masato
8
2004
Absolute tensor products. Zbl 1086.11041
Kurokawa, Nobushige; Wakayama, Masato
8
2004
Remarks on zeta regularized products. Zbl 1091.11034
Kimoto, Kazufumi; Wakayama, Masato
8
2004
On \(q\)-analogues of the Euler constant and Lerch’s limit formula. Zbl 1114.33022
Kurokawa, Nobushige; Wakayama, Masato
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
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
34
2003
Absolute derivations and zeta functions. Zbl 1101.11325
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato
13
2003
On \(q\)-basic multiple gamma functions. Zbl 1052.33015
Kurokawa, Nobushige; Wakayama, Masato
6
2003
Corrigenda and remarks to “Non-commutative harmonic oscillators. I. ”. Zbl 1030.22004
Parmeggiani, A.; Wakayama, M.
5
2003
Zeta regularizations and \(q\)-analogue of ring sine functions. Zbl 1047.11085
Kimoto, Kazufumi; Kurokawa, Nobushige; Sonoki, Chie; Wakayama, Masato
4
2003
Half zeta functions. Zbl 1057.11041
Hirano, 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 1114.11307
Kurokawa, Nobushige; Wakayama, Masato
2
2003
Duplication formulas in triple trigonometry. Zbl 1044.33010
Kurokawa, Nobushige; Wakayama, Masato
2
2003
Analyticity of polylogarithmic Euler products. Zbl 1097.11046
Wakayama, Masato; Kurokawa, Nobushige
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
14
2002
Non-commutative harmonic oscillators. II. Zbl 1020.22006
Parmeggiani, Alberto; Wakayama, Masato
13
2002
Verified numerical computations for eigenvalues of non-commutative harmonic oscillators. Zbl 1016.65056
Nagatou, K.; Nakao, M. T.; Wakayama, M.
10
2002
Multiple trigonometry and zeta functions. Zbl 0995.11054
Kurokawa, Nobushige; Ochiai, Hiroyuki; Wakayama, Masato
9
2002
Casimir effects on Riemann surfaces. Zbl 1027.81026
Kurokawa, Nobushige; Wakayama, Masato
8
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
1
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
20
2001
On \(\zeta(3)\). Zbl 1014.11049
Kurokawa, Nobushige; Wakayama, Masato
6
2001
Minor summation formulas of Pfaffians, survey and a new identity. Zbl 0980.15006
Ishikawa, Masao; Wakayama, Masato
4
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
7
1999
Equidistribution of holonomy about closed geodesics. Zbl 0939.22008
Sarnak, Peter; Wakayama, Masato
6
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
11
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
31
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
4
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
14
1994
A note on the Selberg zeta function for compact quotients of hyperbolic spaces. Zbl 0829.22019
Wakayama, Masato
2
1991
A formula for the logarithmic derivative of Selberg’s zeta function. Zbl 0684.10039
Wakayama, Masato
1
1989
A note on Ehrenpreis’ fundamental principle on a symmetric space. Zbl 0705.47040
Oshima, Toshio; Saburi, Yutaka; 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
15
1985
Zeta function of Selberg’s type for compact quotient of SU(n,1) (n\(\geq 2)\). Zbl 0559.10025
Wakayama, Masato
1
1985
all top 5

Cited by 258 Authors

45 Wakayama, Masato
32 Kurokawa, Nobushige
11 Ishikawa, Masao
8 Yamasaki, Yoshinori
6 Kimoto, Kazufumi
6 Parmeggiani, Alberto
5 Okada, Soichi
4 Connes, Alain
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 Hashimoto, Yasufumi
3 Itoh, Minoru
3 Matsumoto, Sho
3 Noumi, Masatoshi
3 Ochiai, Hiroyuki
3 Park, Jinsung
3 Ragoucy, Eric
3 Singer, Johannes Maria
3 Smajlović, Lejla
3 Warnaar, S. Ole
3 Zhao, Jianqiang
2 Anderson, P. J.
2 Batchelor, Murray T.
2 Choi, Junesang
2 Ciucu, Mihai
2 Consani, Caterina
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 Moree, Pieter
2 Nagatou, Kaori
2 Reyes-Bustos, Cid
2 Saad Eddin, Sumaia
2 Srivastava, Hari Mohan
2 Suriajaya, Ade Irma
2 Tagawa, Hiroyuki
2 Vinet, Luc
2 Zhai, Xianghua
2 Zhang, Jian
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 S.
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 Chihara, Hiroyuki
1 Cnudde, Lander
1 Cohl, Howard Saul
1 Costas-Santos, Roberto S.
1 De Bie, Hendrik
1 de Tilière, Béatrice
1 Dossa, Anselme F.
1 Dunning, Clare
1 Durmagambetov, Asset
1 El Bachraoui, Mohamed
1 Fahlaoui, Said
1 Fan, Xingya
...and 158 more Authors
all top 5

Cited in 96 Serials

23 Proceedings of the Japan Academy. Series A
15 Journal of Algebra
13 Journal of Combinatorial Theory. Series A
13 The Ramanujan Journal
9 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 International Journal of Number Theory
5 Journal of Mathematical Analysis and Applications
5 Proceedings of the American Mathematical Society
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 Journal of the Mathematical Society of Japan
3 Monatshefte für Mathematik
3 Forum Mathematicum
3 Journal de Théorie des Nombres de Bordeaux
2 Journal d’Analyse Mathématique
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Compositio Mathematica
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Tokyo Journal of Mathematics
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New 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 Physica A
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Journal of Geometry and 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 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
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 Journal of the Ramanujan Mathematical Society
1 Japan Journal of Industrial and Applied Mathematics
1 Differential Geometry and its Applications
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 Integral Transforms and Special Functions
1 Mathematical Problems in Engineering
1 Transformation Groups
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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Kyoto Journal of Mathematics
1 Random Matrices: Theory and Applications
all top 5

Cited in 39 Fields

139 Number theory (11-XX)
60 Special functions (33-XX)
52 Combinatorics (05-XX)
42 Quantum theory (81-XX)
32 Nonassociative rings and algebras (17-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
20 Global analysis, analysis on manifolds (58-XX)
19 Algebraic geometry (14-XX)
19 Group theory and generalizations (20-XX)
16 Topological groups, Lie groups (22-XX)
14 Partial differential equations (35-XX)
12 Functions of a complex variable (30-XX)
12 Ordinary differential equations (34-XX)
11 Associative rings and algebras (16-XX)
10 Abstract harmonic analysis (43-XX)
10 Operator theory (47-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Commutative algebra (13-XX)
5 Functional analysis (46-XX)
4 Differential geometry (53-XX)
4 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 \(K\)-theory (19-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 Category theory; homological algebra (18-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Approximations and expansions (41-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 Statistics (62-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year