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Author

Shin-ya Koyama

Observed names: KOYAMA, Shin-ya, Koyama, Shin-ya, Shin-Ya Koyama
Institution: Toyo University
Observed institutions: Tokyo Institute of Technology, Ewha Womans University, Toyo University, Isaac Newton Institute for Mathematical Sciences, Keio University, University of Cambridge
ORCID: 0000-0002-8529-5244
Observed ORCID: 0000-0002-8529-5244
OpenAlex ID: A5065679479
Determinant Expression of Selberg Zeta Functions. I
1991 · Shin-ya Koyama · Transactions of the American Mathematical Society · 38
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Untitled
1998 · Shin-ya Koyama · International Mathematics Research Notices · 34
Values of the double sine function
2006 · Shin-ya Koyama, Nobushige Kurokawa · Journal of Number Theory · 18
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Quantum Ergodicity of Eisenstein Series for Arithmetic 3-Manifolds
2000 · Shin-ya Koyama · Communications in Mathematical Physics · 17
Euler Products Beyond the Boundary
2016 · Taro Kimura, Shin-ya Koyama, et al. · 16
Absolute zeta functions
2008 · Anton Deitmar, Shin-ya Koyama, et al. · Proceedings of the Japan Academy Series A Mathematical Sciences · 15
Zeta functions and normalized multiple sine functions
2005 · Shin-ya Koyama, Nobushige Kurokawa · Kodai Mathematical Journal · 15
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Euler’s integrals and multiple sine functions
2004 · Shin-ya Koyama, Nobushige Kurokawa · Proceedings of the American Mathematical Society · 14
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Multiple zeta functions: the double sine function and the signed double Poisson summation formula
2004 · Shin-ya Koyama, Nobushige Kurokawa · Compositio Mathematica · 14
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L∞-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds
1995 · Shin-Ya Koyama · Duke Mathematical Journal · 14
Determinant Expression of Selberg Zeta Functions. II
1992 · Shin-ya Koyama · Transactions of the American Mathematical Society · 12
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Refinement of prime geodesic theorem
2016 · Shin-ya Koyama · Proceedings of the Japan Academy Series A Mathematical Sciences · 11
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Equidistribution of Eisenstein Series in the Level Aspect
2009 · Shin-ya Koyama · Communications in Mathematical Physics · 9
Multiple Eisenstein series and multiple cotangent functions
2007 · Shin-ya Koyama, Nobushige Kurokawa · Journal of Number Theory · 9
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Chebyshev's bias against splitting and principal primes in global fields
2022 · Miho Aoki, Shin-ya Koyama · Journal of Number Theory · 8
Determinant Expression of Selberg Zeta Functions (III)
1991 · Shin-ya Koyama · Proceedings of the American Mathematical Society · 8
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Chebyshev’s bias for Ramanujan’s $\tau$-function via the Deep Riemann Hypothesis
2022 · Shin-ya Koyama, Nobushige Kurokawa · Proceedings of the Japan Academy Series A Mathematical Sciences · 7
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Euler products of Selberg zeta functions in the critical strip
2022 · Ikuya Kaneko, Shin-ya Koyama · The Ramanujan Journal · 7
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Normalized double sine functions
2003 · Shin-ya Koyama, Nobushige Kurokawa · Proceedings of the Japan Academy Series A Mathematical Sciences · 7
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Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem
2002 · Tsuneo Arakawa, Shin-ya Koyama, et al. · Proceedings of the Japan Academy Series A Mathematical Sciences · 7
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Universality of Hecke $L$-functions in the Grossencharacter-aspect
2002 · Shin-ya Koyama, Hidehiko Mishou · Proceedings of the Japan Academy Series A Mathematical Sciences · 7
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Multiple Euler products
2006 · Shin-ya Koyama, Nobushige Kurokawa · Translations - American Mathematical Society/Translations · 6
The Riemann hypothesis and functional equations for zeta functions over ${\bf F}_1}$
2009 · Sojung Kim, Shin-ya Koyama, et al. · Proceedings of the Japan Academy Series A Mathematical Sciences · 5
The first eigenvalue problem and tensor products of zeta functions
2004 · Shin-ya Koyama · Proceedings of the Japan Academy Series A Mathematical Sciences · 5
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A new aspect of Chebyshev’s bias for elliptic curves over function fields
2023 · Ikuya Kaneko, Shin-ya Koyama · Proceedings of the American Mathematical Society · 4
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Works count: 54
Citation count: 338
H-index: 11
I10-index: 12
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