# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 50 Publications since 1988, including 2 Books
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#### Co-Authors

 26 single-authored 10 Matsumoto, Kohji 8 Amou, Masaaki 4 Noda, Takumi 3 Väänänen, Keijo O. 1 Kanemitsu, Shigeru 1 Komatsu, Takao 1 Nakada, Hitoshi 1 Yoshimoto, Masami
all top 5

#### Serials

 6 RIMS Kokyuroku 5 Acta Arithmetica 5 Proceedings of the Japan Academy. Series A 3 The Ramanujan Journal 2 Collectanea Mathematica 2 Journal of Number Theory 1 Lithuanian Mathematical Journal 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 Aequationes Mathematicae 1 International Journal of Number Theory 1 Seminar on Mathematical Sciences 1 AIP Conference Proceedings

#### Fields

 49 Number theory (11-XX) 6 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 183 times in 86 Documents Cited by Year
On the Hurwitz-Lerch zeta-function. Zbl 1059.11050
Kanemitsu, Shigeru; Katsurada, Masanori; Yoshimoto, Masami
2000
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. Zbl 0744.11041
1991
Power series and asymptotic series associated with the Lerch zeta-function. Zbl 0937.11035
1998
Power series with the Riemann zeta-function in the coefficients. Zbl 0860.11050
1996
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. I. Zbl 0871.11055
1996
The mean values of Dirichlet $$L$$-functions at integer points and class numbers of cyclotomic fields. Zbl 0806.11036
1994
An application of Mellin-Barnes’ type integrals to the mean square of Lerch zeta-functions. Zbl 0891.11042
1997
On Mellin-Barnes type of integrals and sums associated with the Riemann zeta-function. Zbl 0885.11052
1997
Rapidly convergent series representations for $$\zeta(2n+1)$$ and their $$\chi$$-analogue. Zbl 0933.11042
1999
Complete asymptotic expansions associated with Epstein zeta-functions. Zbl 1171.11023
2007
On an asymptotic formula of Ramanujan for a certain theta-type series. Zbl 0972.11080
2001
An application of the Mellin-Barnes type of integral to the mean square of $$L$$-functions. Zbl 0924.11073
1998
Linear independence measures for certain numbers. Zbl 0659.10039
1988
Asymptotic expansions of certain $$q$$-series and a formula of Ramanujan for specific values of the Riemann zeta function. Zbl 1158.11335
2003
Linear independence measures for values of Heine series. Zbl 0653.10031
1989
A weighted integral approach to the mean square of Dirichlet $$L$$-functions. Zbl 0966.11036
1999
Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré. Zbl 0984.11037
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2001
Discrete mean values of Hurwitz zeta-functions. Zbl 0798.11034
1993
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. III. Zbl 0977.11034
1994
Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series. Zbl 1231.11049
2009
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. II. Zbl 0977.11033
1993
Complete asymptotic expansions for certain multiple $$q$$-integrals and $$q$$-differentials of Thomae-Jackson type. Zbl 1276.11166
2012
An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions. II. Zbl 1059.11051
2005
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. IV. Zbl 0977.11035
1993
On the values of certain $$q$$-hypergeometric series. Zbl 1017.11039
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2001
Irrationality results for values of generalized Tschakaloff series. Zbl 0929.11020
1999
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. III. Zbl 0994.11032
2002
On the values of certain $$q$$-hypergeometric series. II. Zbl 1027.11048
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2002
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. Zbl 0799.11027
1993
Asymptotic expansions for double Shintani zeta-functions of several variables. Zbl 1287.11108
2011
Complete asymptotic expansions associated with Epstein zeta-functions. II. Zbl 1322.11031
2015
Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables. Zbl 1430.11123
2017
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. II. Zbl 0929.11027
1997
Mellin-Barnes’ type integrals and power series with the Riemann zeta-function in the coefficients. Zbl 1043.11542
1996
A program of the charge simulation method. Zbl 1049.65529
1995
On generalized Lipschitz-type formulae and applications. Zbl 1198.11041
2010
Asymptotic expansions of the mean square of Dirichlet L-functions. Zbl 0774.11047
1992
On generalized Lipschitz-type formulae and applications. II. Zbl 1279.11042
2011
Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables. Zbl 1430.11123
2017
Complete asymptotic expansions associated with Epstein zeta-functions. II. Zbl 1322.11031
2015
Complete asymptotic expansions for certain multiple $$q$$-integrals and $$q$$-differentials of Thomae-Jackson type. Zbl 1276.11166
2012
Asymptotic expansions for double Shintani zeta-functions of several variables. Zbl 1287.11108
2011
On generalized Lipschitz-type formulae and applications. II. Zbl 1279.11042
2011
On generalized Lipschitz-type formulae and applications. Zbl 1198.11041
2010
Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series. Zbl 1231.11049
2009
Complete asymptotic expansions associated with Epstein zeta-functions. Zbl 1171.11023
2007
An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions. II. Zbl 1059.11051
2005
Asymptotic expansions of certain $$q$$-series and a formula of Ramanujan for specific values of the Riemann zeta function. Zbl 1158.11335
2003
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. III. Zbl 0994.11032
2002
On the values of certain $$q$$-hypergeometric series. II. Zbl 1027.11048
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2002
On an asymptotic formula of Ramanujan for a certain theta-type series. Zbl 0972.11080
2001
Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré. Zbl 0984.11037
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2001
On the values of certain $$q$$-hypergeometric series. Zbl 1017.11039
Amou, Masaaki; Katsurada, Masanori; Väänänen, Keijo
2001
On the Hurwitz-Lerch zeta-function. Zbl 1059.11050
Kanemitsu, Shigeru; Katsurada, Masanori; Yoshimoto, Masami
2000
Rapidly convergent series representations for $$\zeta(2n+1)$$ and their $$\chi$$-analogue. Zbl 0933.11042
1999
A weighted integral approach to the mean square of Dirichlet $$L$$-functions. Zbl 0966.11036
1999
Irrationality results for values of generalized Tschakaloff series. Zbl 0929.11020
1999
Power series and asymptotic series associated with the Lerch zeta-function. Zbl 0937.11035
1998
An application of the Mellin-Barnes type of integral to the mean square of $$L$$-functions. Zbl 0924.11073
1998
An application of Mellin-Barnes’ type integrals to the mean square of Lerch zeta-functions. Zbl 0891.11042
1997
On Mellin-Barnes type of integrals and sums associated with the Riemann zeta-function. Zbl 0885.11052
1997
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. II. Zbl 0929.11027
1997
Power series with the Riemann zeta-function in the coefficients. Zbl 0860.11050
1996
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. I. Zbl 0871.11055
1996
Mellin-Barnes’ type integrals and power series with the Riemann zeta-function in the coefficients. Zbl 1043.11542
1996
A program of the charge simulation method. Zbl 1049.65529
1995
The mean values of Dirichlet $$L$$-functions at integer points and class numbers of cyclotomic fields. Zbl 0806.11036
1994
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. III. Zbl 0977.11034
1994
Discrete mean values of Hurwitz zeta-functions. Zbl 0798.11034
1993
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. II. Zbl 0977.11033
1993
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. IV. Zbl 0977.11035
1993
Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions. Zbl 0799.11027
1993
Asymptotic expansions of the mean square of Dirichlet L-functions. Zbl 0774.11047
1992
Asymptotic expansions of the mean values of Dirichlet $$L$$-functions. Zbl 0744.11041
1991
Linear independence measures for values of Heine series. Zbl 0653.10031
1989
Linear independence measures for certain numbers. Zbl 0659.10039
1988
all top 5

#### Cited by 95 Authors

 15 Katsurada, Masanori 8 Matsumoto, Kohji 6 Kanemitsu, Shigeru 5 Väänänen, Keijo O. 4 Amou, Masaaki 4 Yoshimoto, Masami 3 Bundschuh, Peter 3 Laurinčikas, Antanas 3 Noda, Takumi 3 Srivastava, Hari Mohan 3 Tanigawa, Yoshio 3 Wallisser, Rolf V. 2 Choie, YoungJu 2 Lagarias, Jeffrey C. 2 Li, Hailong 2 Li, Wen-Ch’ing Winnie 2 López, José Luis 2 Nakamura, Takashi 2 Tsukada, Haruo 2 Tsumura, Hirofumi 2 Zamarys, Saulius 1 Adam, Alexander 1 Andrianesis, Panagiotis 1 Ashton, Anthony C. L. 1 Banerjee, Shubho 1 Bardaro, Carlo 1 Bayad, Abdelmejid 1 Bétermin, Laurent 1 Bony, Jean-François 1 Boyadzhiev, Khristo N. 1 Broughan, Kevin A. 1 Bruggeman, Roelof Wichert 1 Butzer, Paul Leo 1 Cai, Xing Shi 1 Can, Mumun 1 Chaudhary, M. P. 1 Chikhi, Jamel 1 Cho, Young Joon 1 Choi, Junesang 1 Dai, Lixia 1 Diamantis, Nikolaos 1 Dixit, Atul 1 Espinoza, Nicolas 1 Fernandez, Arran 1 Ferreira, Chelo 1 Fikioris, George 1 Fokas, Athanassios S. 1 Garunkštis, Ramūnas 1 Gay, Roger 1 Hashimoto, Masahiro 1 Hirose, Minoru 1 Ishikawa, Hideaki 1 Kačėnas, Audrius 1 Kawashima, Makoto 1 Khanfir, Robin 1 Komatsu, Takao 1 Komori, Yasushi 1 Kumagai, Hiroshi 1 Kuzumaki, Takako 1 Lima, Fábio M. S. 1 Liu, Guodong 1 Liu, Huaning 1 Ma, Jing 1 Maji, Bibekananda 1 Mantellini, Ilaria 1 Martin, Yves-Loïc 1 Matala-aho, Tapani 1 Merilä, Ville 1 Nemes, Gergő 1 Okamoto, Takuya 1 Onozuka, Tomokazu 1 O’Sullivan, Cormac 1 Pan, Hao 1 Paris, Richard Bruce 1 Petrache, Mircea 1 Pohl, Anke D. 1 Prévost, Marc 1 Raikov, Georgi D. 1 Rane, Vivek V. 1 Sato, Nobuo 1 Schmeisser, Gerhard 1 Sebbar, Ahmed 1 Seri, Raffaello 1 Shpot, Mykola A. 1 Steuding, Jörn 1 Tongsomporn, Janyarak 1 Uramatsu, Yuichi 1 Wang, Nianliang 1 Wang, Xiaohan 1 Wilkerson, Blake 1 Xu, Ji-Zhen 1 Yang, Sheldon 1 Zhang, Changgui 1 Zhang, Wenpeng 1 Zudilin, Wadim
all top 5

#### Cited in 41 Serials

 8 The Ramanujan Journal 7 Lithuanian Mathematical Journal 7 Proceedings of the Japan Academy. Series A 6 Applied Mathematics and Computation 6 Journal of Number Theory 4 Journal of Mathematical Analysis and Applications 4 International Journal of Number Theory 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Manuscripta Mathematica 3 Journal of Classical Analysis 2 Archiv der Mathematik 2 Research in Number Theory 1 Bulletin of the Australian Mathematical Society 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 International Journal of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Integral Transforms and Special Functions 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Fixed Point Theory and Applications 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Probability Surveys 1 Analysis and Mathematical Physics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

#### Cited in 15 Fields

 81 Number theory (11-XX) 18 Special functions (33-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Numerical analysis (65-XX) 3 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)