Shin-ya Koyama | Academic Influence

Shin-ya Koyama's AcademicInfluence.com Rankings

Shin-ya Koyama

Mathematics

#4598

World Rank

#6514

Historical Rank

Algebraic Geometry

#264

World Rank

#279

Historical Rank

Measure Theory

#5406

World Rank

#6410

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Shin-ya Koyama's Degrees

PhD Mathematics University of Tokyo
Masters Mathematics University of Tokyo
Bachelors Mathematics University of Tokyo

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Shin-ya Koyama Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Shin-ya Koyama is a Japanese mathematician working in number theory. He is currently a professor at Toyo University. External links Website of Shin-ya Koyama

(See a Problem?)

Shin-ya Koyama's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Multiple sine functions (2003) (69)
Determinant expression of Selberg zeta functions. II (1991) (35)
Prime geodesic theorem for arithmetic compact surfaces (1998) (32)
Absolute zeta functions (2008) (28)
Determinant expression of Selberg zeta functions. III (1991) (19)
Multiple zeta functions: the double sine function and the signed double Poisson summation formula (2004) (19)
Zeta functions and normalized multiple sine functions (2005) (17)
Refinement of prime geodesic theorem (2016) (17)
Euler Products Beyond the Boundary (2012) (17)
Prime Geodesic Theorem for the Picard manifold under the mean-Lindelöf hypothesis (2001) (16)
Euler’s integrals and multiple sine functions (2005) (14)
Values of the double sine function (2007) (14)
$L^{\infty}$-norms of eigenfunctions for arithmetic hyperbolic $3$-manifolds (1995) (11)
Normalized double sine functions (2003) (11)
The Riemann hypothesis and functional equations for zeta functions over F1 (2009) (9)
Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem (2002) (8)
Universality of Hecke $L$-functions in the Grossencharacter-aspect (2002) (8)
Multiple Eisenstein series and multiple cotangent functions (2008) (8)
Equidistribution of Eisenstein Series in the Level Aspect (2009) (8)
The first eigenvalue problem and tensor products of zeta functions (2004) (6)
Euler products of Selberg zeta functions in the critical strip (2018) (6)
Quantum Ergodicity of Eisenstein Series for Arithmetic 3-Manifolds (2000) (6)
Division values of multiple sine functions (2009) (4)
Zeta functions of generalized permutations with application to their factorization formulas (2012) (4)
Euler products beyond the boundary for Selberg zeta functions (2014) (4)
Chebyshev’s bias for Ramanujan’s $\tau$-function via the Deep Riemann Hypothesis (2022) (4)
Chebyshev's bias against splitting and principal primes in global fields (2022) (3)
Counting and zeta functions over F1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb F}_1$$\end{document} (2013) (3)
Selberg zeta functions and Ruelle operators for function fields (1991) (3)
The Selberg zeta function and the determinant of the Laplacians (1989) (3)
Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies (2010) (3)
Correction to: Equidistribution of Eisenstein Series in the Level Aspect (2019) (2)
Absolute Modular Forms (2009) (2)
Absolute zeta functions and absolute tensor products (2010) (2)
Counting and zeta functions over $${\mathbb F}_1$$F1 (2015) (2)
Formal group laws for multiple sine functions and applications (2013) (2)
Estimates of lattice points in the discriminant aspect over abelian extension fields (2018) (2)
Functional equations for Selberg zeta functions with Tate motives (2020) (1)
Rigidity of Euler products (2021) (1)
Correction to “$L^{\infty}$-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds,” Duke Math. J. 77 (1995), 799–817 (2016) (1)
A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields (2022) (1)
Simple functional equations for generalized Selberg zeta functions with Tate motives (2020) (0)
Zeta Functions of Higher Order and Their Applications (Diophantine Problems and Analytic Number Theory) (2003) (0)
ON THE RESULTS OF SARNAK-RUDNICK-KATZ-IWANIEC-LUO ON ZEROS OF ZETA FUNCTIONS (Number Theory and its Applications) (1998) (0)
Quantum Unique Ergodicity for Eisenstein Series over Function Fields in the Level Aspect (2023) (0)
Zeta Functions of Loop Groups (1992) (0)
Subconvexity of Hecke L-functions in the Grossencharacter-aspect (2003) (0)
Euler Products Beyond the Boundary (2013) (0)
Triple mean values of Witten L-functions (2015) (0)
Quatntum Ergodicity of Eisenstein series for Arithmetic 3-Manifolds (Analytic Number Theory : Expectations for the 21st Century) (2001) (0)
Triple mean values of Witten L-functions (2015) (0)
Variations of Ramanujan’s Euler Products (2021) (0)
Towards the Deep Riemann Hypothesis for $\mathrm{GL}_{n}$ (2022) (0)
N T ] 1 S ep 2 01 7 Counting and zeta functions over F 1 Abh (2018) (0)

This paper list is powered by the following services:

Other Resources About Shin-ya Koyama

en.wikipedia.org

What Schools Are Affiliated With Shin-ya Koyama?

Shin-ya Koyama is affiliated with the following schools: