Edit Profile (opens in new tab) Koyama, Shin-ya Co-Author Distance Author ID: koyama.shin-ya Published as: Koyama, Shin-ya; Koyama, Shin-Ya Homepage: http://ris.toyo.ac.jp/profile/en.nGovmbkeqY2j6.F7iDW4yw==.html External Links: MGP · Wikidata Documents Indexed: 56 Publications since 1989, including 3 Additional arXiv Preprints Reviewing Activity: 31 Reviews Co-Authors: 12 Co-Authors with 35 Joint Publications 118 Co-Co-Authors all top 5 Co-Authors 21 single-authored 25 Kurokawa, Nobushige 5 Kaneko, Ikuya 2 Deitmar, Anton 1 Aoki, Miho 1 Arakawa, Tsuneo 1 Kim, Sojung 1 Kimura, Taro 1 Mishou, Hidehiko 1 Nakajima, Sachiko 1 Nakasuji, Maki 1 Suzuki, Fumika 1 Takeda, Wataru all top 5 Serials 13 Proceedings of the Japan Academy. Series A 4 Journal of Number Theory 4 RIMS Kokyuroku 3 Communications in Mathematical Physics 3 Kodai Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Forum Mathematicum 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 IMRN. International Mathematics Research Notices 1 Letters in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Compositio Mathematica 1 Monatshefte für Mathematik 1 The Ramanujan Journal all top 5 Fields 56 Number theory (11-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 235 times in 169 Documents Cited by ▼ Year ▼ Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya 64 2003 Determinant expression of Selberg zeta functions. I. Zbl 0726.11036 Koyama, Shin-Ya 20 1991 Prime geodesic theorem for arithmetic compact surfaces. Zbl 0917.11019 Koyama, Shin-ya 15 1998 Zeta functions and normalized multiple sine functions. Zbl 1091.11030 Koyama, Shin-Ya; Kurokawa, Nobushige 10 2005 Values of the double sine function. Zbl 1160.11044 Koyama, Shin-Ya; Kurokawa, Nobushige 9 2007 Kummer’s formula for multiple gamma functions. Zbl 1049.11098 Koyama, Shin-ya; Kurokawa, Nobushige 9 2003 Prime geodesic theorem for the Picard manifold under the mean-Lindelöf hypothesis. Zbl 1061.11024 Koyama, Shin-ya 8 2001 Determinant expression of Selberg zeta functions. III. Zbl 0744.11031 Koyama, Shin-ya 8 1991 Determinant expression of Selberg zeta functions. II. Zbl 0744.11030 Koyama, Shin-ya 8 1992 \(L^ \infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds. Zbl 0869.11050 Koyama, Shin-ya 7 1995 Multiple zeta functions: the double sine function and the signed double Poisson summation formula. Zbl 1135.11329 Koyama, Shin-ya; Kurokawa, Nobushige 7 2004 Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds. Zbl 0982.11030 Koyama, Shin-ya 6 2000 Refinement of prime geodesic theorem. Zbl 1417.11092 Koyama, Shin-Ya 6 2016 Equidistribution of Eisenstein series in the level aspect. Zbl 1226.11056 Koyama, Shin-ya 5 2009 Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige 4 2008 Euler’s integrals and multiple sine functions. Zbl 1069.11035 Koyama, Shin-ya; Kurokawa, Nobushige 4 2005 Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem. Zbl 1027.11065 Arakawa, Tsuneo; Koyama, Shin-ya; Nakasuji, Maki 4 2002 Euler products of Selberg zeta functions in the critical strip. Zbl 1512.11066 Kaneko, Ikuya; Koyama, Shin-ya 4 2022 Euler products beyond the boundary. Zbl 1288.11083 Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige 4 2014 Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige 3 2008 Normalized double sine functions. Zbl 1114.11076 Kurokawa, Nobushige; Koyama, Shin-ya 3 2003 Counting and zeta functions over \({\mathbb F}_1\). Zbl 1320.11057 Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige 3 2015 Universality of Hecke \(L\)-functions in the Grossencharacter-aspect. Zbl 1041.11060 Mishou, Hidehiko; Koyama, Shin-ya 3 2002 Selberg zeta functions of PGL and PSL over function fields. Zbl 1009.11055 Koyama, Shin-Ya 2 1999 Division values of multiple sine functions. Zbl 1215.11087 Koyama, Shin-Ya 2 2009 The first eigenvalue problem and tensor products of zeta functions. Zbl 1065.11035 Koyama, Shin-ya 2 2004 Selberg zeta functions and Ruelle operators for function fields. Zbl 0749.11031 Koyama, Shin-ya 2 1991 Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082 Aoki, Miho; Koyama, Shin-ya 2 2023 Chebyshev’s bias for Ramanujan’s \(\tau\)-function via the deep Riemann hypothesis. Zbl 1496.11122 Koyama, Shin-Ya; Kurokawa, Nobushige 2 2022 Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies. Zbl 1268.11132 Koyama, Shin-ya; Kurokawa, Nobushige 1 2010 Estimates of lattice points in the discriminant aspect over abelian extension fields. Zbl 1437.11138 Takeda, Wataru; Koyama, Shin-ya 1 2018 The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\). Zbl 1275.11125 Kim, Sojung; Koyama, Shin-ya; Kurokawa, Nobushige 1 2009 The Selberg zeta function and the determinant of the Laplacians. Zbl 0701.11031 Koyama, Shin-ya 1 1989 Triple mean values of Witten \(L\)-functions. Zbl 1398.11118 Koyama, Shin-ya; Kurokawa, Nobushige 1 2016 Correction to “\(L^\infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds,” Duke Math. J. 77 (1995), 799–817. Zbl 1383.11071 Koyama, Shin-Ya 1 2016 Euler products beyond the boundary for Selberg zeta functions. Zbl 1310.11093 Koyama, Shin-Ya; Suzuki, Fumika 1 2014 Correction to: “Equidistribution of Eisenstein series in the level aspect”. Zbl 1470.11073 Kaneko, Ikuya; Koyama, Shin-ya 1 2020 Zeta functions of generalized permutations with application to their factorization formulas. Zbl 1275.11126 Koyama, Shin-ya; Nakajima, Sachiko 1 2012 Chebyshev’s bias against splitting and principal primes in global fields. Zbl 1518.11082 Aoki, Miho; Koyama, Shin-ya 2 2023 Euler products of Selberg zeta functions in the critical strip. Zbl 1512.11066 Kaneko, Ikuya; Koyama, Shin-ya 4 2022 Chebyshev’s bias for Ramanujan’s \(\tau\)-function via the deep Riemann hypothesis. Zbl 1496.11122 Koyama, Shin-Ya; Kurokawa, Nobushige 2 2022 Correction to: “Equidistribution of Eisenstein series in the level aspect”. Zbl 1470.11073 Kaneko, Ikuya; Koyama, Shin-ya 1 2020 Estimates of lattice points in the discriminant aspect over abelian extension fields. Zbl 1437.11138 Takeda, Wataru; Koyama, Shin-ya 1 2018 Refinement of prime geodesic theorem. Zbl 1417.11092 Koyama, Shin-Ya 6 2016 Triple mean values of Witten \(L\)-functions. Zbl 1398.11118 Koyama, Shin-ya; Kurokawa, Nobushige 1 2016 Correction to “\(L^\infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds,” Duke Math. J. 77 (1995), 799–817. Zbl 1383.11071 Koyama, Shin-Ya 1 2016 Counting and zeta functions over \({\mathbb F}_1\). Zbl 1320.11057 Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige 3 2015 Euler products beyond the boundary. Zbl 1288.11083 Kimura, Taro; Koyama, Shin-ya; Kurokawa, Nobushige 4 2014 Euler products beyond the boundary for Selberg zeta functions. Zbl 1310.11093 Koyama, Shin-Ya; Suzuki, Fumika 1 2014 Zeta functions of generalized permutations with application to their factorization formulas. Zbl 1275.11126 Koyama, Shin-ya; Nakajima, Sachiko 1 2012 Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies. Zbl 1268.11132 Koyama, Shin-ya; Kurokawa, Nobushige 1 2010 Equidistribution of Eisenstein series in the level aspect. Zbl 1226.11056 Koyama, Shin-ya 5 2009 Division values of multiple sine functions. Zbl 1215.11087 Koyama, Shin-Ya 2 2009 The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\). Zbl 1275.11125 Kim, Sojung; Koyama, Shin-ya; Kurokawa, Nobushige 1 2009 Absolute zeta functions. Zbl 1225.11113 Deitmar, Anton; Koyama, Shin-ya; Kurokawa, Nobushige 4 2008 Multiple Eisenstein series and multiple cotangent functions. Zbl 1168.11035 Koyama, Shin-Ya; Kurokawa, Nobushige 3 2008 Values of the double sine function. Zbl 1160.11044 Koyama, Shin-Ya; Kurokawa, Nobushige 9 2007 Zeta functions and normalized multiple sine functions. Zbl 1091.11030 Koyama, Shin-Ya; Kurokawa, Nobushige 10 2005 Euler’s integrals and multiple sine functions. Zbl 1069.11035 Koyama, Shin-ya; Kurokawa, Nobushige 4 2005 Multiple zeta functions: the double sine function and the signed double Poisson summation formula. Zbl 1135.11329 Koyama, Shin-ya; Kurokawa, Nobushige 7 2004 The first eigenvalue problem and tensor products of zeta functions. Zbl 1065.11035 Koyama, Shin-ya 2 2004 Multiple sine functions. Zbl 1065.11065 Kurokawa, N.; Koyama, Shin-ya 64 2003 Kummer’s formula for multiple gamma functions. Zbl 1049.11098 Koyama, Shin-ya; Kurokawa, Nobushige 9 2003 Normalized double sine functions. Zbl 1114.11076 Kurokawa, Nobushige; Koyama, Shin-ya 3 2003 Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem. Zbl 1027.11065 Arakawa, Tsuneo; Koyama, Shin-ya; Nakasuji, Maki 4 2002 Universality of Hecke \(L\)-functions in the Grossencharacter-aspect. Zbl 1041.11060 Mishou, Hidehiko; Koyama, Shin-ya 3 2002 Prime geodesic theorem for the Picard manifold under the mean-Lindelöf hypothesis. Zbl 1061.11024 Koyama, Shin-ya 8 2001 Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds. Zbl 0982.11030 Koyama, Shin-ya 6 2000 Selberg zeta functions of PGL and PSL over function fields. Zbl 1009.11055 Koyama, Shin-Ya 2 1999 Prime geodesic theorem for arithmetic compact surfaces. Zbl 0917.11019 Koyama, Shin-ya 15 1998 \(L^ \infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds. Zbl 0869.11050 Koyama, Shin-ya 7 1995 Determinant expression of Selberg zeta functions. II. Zbl 0744.11030 Koyama, Shin-ya 8 1992 Determinant expression of Selberg zeta functions. I. Zbl 0726.11036 Koyama, Shin-Ya 20 1991 Determinant expression of Selberg zeta functions. III. Zbl 0744.11031 Koyama, Shin-ya 8 1991 Selberg zeta functions and Ruelle operators for function fields. Zbl 0749.11031 Koyama, Shin-ya 2 1991 The Selberg zeta function and the determinant of the Laplacians. Zbl 0701.11031 Koyama, Shin-ya 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 139 Authors 31 Kurokawa, Nobushige 21 Koyama, Shin-ya 11 Wakayama, Masato 7 Tanaka, Hidekazu 6 Avdispahić, Muharem 6 Kaneko, Ikuya 5 Hashimoto, Yasufumi 5 Onodera, Kazuhiro 4 Cherubini, Giacomo 4 Deitmar, Anton 4 Gon, Yasuro 4 Jorgenson, Jay Alan 4 Tangedal, Brett A. 3 Awonusika, Richard Olu 3 Balkanova, Ol’ga Germanovna 3 Chatzakos, Dimitrios 3 Frolenkov, Dmitriĭ Andreevich 3 Laaksonen, Niko 3 Young, Paul Thomas 3 Zabzine, Maxim 2 Aoki, Miho 2 Cassia, Luca 2 Grosche, Christian 2 Hirano, Miki 2 Kato, Masaki 2 Lodin, Rebecca 2 Milićević, Djordje 2 Minahan, Joseph A. 2 Mkrtchyan, Ruben L. 2 Nakasuji, Maki 2 Ostrovskii, Dmitrii M. 2 Smajlović, Lejla 2 Teo, Lee-Peng 2 Tsuzuki, Masao 2 Yamamoto, Shuji 2 Young, Matthew P. 1 Akatsuka, Hirotaka 1 Alexandrov, Sergei Yu. 1 Alsina, Montserrat 1 Amariti, Antonio 1 Aoki, Yutaro 1 Arakawa, Tsuneo 1 Aurich, Ralf 1 Avetisyan, M. Y. 1 Bäcker, Arnd 1 Banerjee, Abhishek 1 Benini, Francesco 1 Blomer, Valentin 1 Bolte, Jens 1 Bridgeland, Tom 1 Chaumont, Loïc 1 Closset, Cyril 1 Cremonesi, Stefano 1 David, Justin R. 1 Dixit, Atul 1 Dorigoni, Daniele 1 Drungilas, Paulius 1 Efrat, Isaac Y. 1 El-Abidine Guennoun, Zine 1 Elaissaoui, Lahoucine 1 Friedman, Joshua S. 1 Garbin, Daniel 1 Garunkštis, Ramūnas 1 Gava, Edi 1 Glass, Philip 1 Gong, Donggeng 1 Greenfield, Mark J. 1 Grigutis, Andrius 1 Guerreiro, João Nisan C. 1 Gupta, Rajat 1 Gupta, Rajesh Kumar 1 Gušić, Dženan 1 Harcos, Gergely 1 Hughes, Barry D. 1 Jiang, Yujiao 1 Kačėnas, Audrius 1 Kaminishi, Chiharu 1 Kim, Sojung 1 Kumar, Rahul 1 Kuznetsov, Alexey 1 Kwaśnicki, Mateusz 1 Lang, Serge 1 Laurinčikas, Antanas 1 Lee, Yoonbok 1 Lockhart, Guglielmo 1 Lu, Guangshi 1 Lundin, Jim 1 Macaitienė, Renata 1 Maji, Bibekananda 1 Małecki, Jacek 1 Marcolli, Matilde 1 Mauch, Roman 1 Mimachi, Katsuhisa 1 Min, Jeongwon 1 Minami, Norihiko 1 Mishou, Hidehiko 1 Momotani, Tetsuya 1 Morita, Hideaki 1 Müller, Werner 1 Nagoshi, Hirofumi ...and 39 more Authors all top 5 Cited in 66 Serials 29 Proceedings of the Japan Academy. Series A 20 Journal of Number Theory 12 Journal of High Energy Physics 6 Communications in Mathematical Physics 6 The Ramanujan Journal 5 Advances in Mathematics 4 Letters in Mathematical Physics 4 Transactions of the American Mathematical Society 4 Forum Mathematicum 3 Duke Mathematical Journal 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 International Journal of Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 International Journal of Number Theory 2 Tokyo Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Algebra & Number Theory 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Annals of Global Analysis and Geometry 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 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 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Electronic Journal of Probability 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Mathematical Modelling and Analysis 1 Hacettepe Journal of Mathematics and Statistics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 São Paulo Journal of Mathematical Sciences 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 European Journal of Mathematics 1 Research in Number Theory all top 5 Cited in 27 Fields 138 Number theory (11-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Special functions (33-XX) 21 Quantum theory (81-XX) 10 Algebraic geometry (14-XX) 7 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 4 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.