Researcher Profile and Settings

Researcher

• Name

  NAGOSHI Hirofumi

Profile and Settings

• Name

  Nagoshi, Hirofumi

Foreign language

• Use in presentation

  English

• Use in publication

  English

Affiliation

• Gunma University

Degree

• Doctor of Science

Research Activities

Research Areas

• Natural sciences, Algebra

Research Interests

• zeta-function
• L-function
• zeta-function, L-function

Published Papers

• On arithmetic infinite graphs, H Nagoshi, Feb. 2000, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 76, 2, 22, 25, Scientific journal

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• Selberg zeta functions over function fields, H Nagoshi, Oct. 2001, JOURNAL OF NUMBER THEORY, 90, 2, 207, 238, Scientific journal

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• The distribution of eigenvalues of arithmetic infinite graphs, H Nagoshi, 2002, FORUM MATHEMATICUM, 14, 6, 807, 829, Scientific journal

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• Spectra of arithmetic infinite graphs and their application, Hirofumi Nagoshi, 2001, Interdisciplinary Information Sciences, 7, 67, 76

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• Spectral theory of certain arithmetic graphs, Hirofumi Nagoshi, 2004, Contemporary Math., 347, 203, 220
• On the universality for L-functions attached to Maass forms, Hirofumi Nagoshi, Mar. 2005, Analysis, 25, 1, 22

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• Functional distribution of L(s,(Xd)) with real characters and denseness of quadratic class numbers, Hidehiko Mishou,Hirofumi Nagoshi, Oct. 2006, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358, 10, 4343, 4366, Scientific journal

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• Distribution of Hecke eigenvalues, Hirofumi Nagoshi, 2006, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134, 11, 3097, 3106, Scientific journal

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• Equivalents of the Riemann hypothesis, H Mishou,H Nagoshi, May 2006, ARCHIV DER MATHEMATIK, 86, 5, 419, 424, Scientific journal

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• The universality of quadratic L-series for prime discriminants, Hidehiko Mishou,Hirofumi Nagoshi, 2006, ACTA ARITHMETICA, 123, 2, 143, 161, Scientific journal

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• The universality of L-functions attached Maass forms, Hirofumi Nagoshi, 2007, Advanced Studies in Pure Mathematics, 49, 289, 306

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• Value-distribution of Rankin-Selberg L-functions, Hirofumi Nagoshi, 2009, New directions in value-distribution theory of zeta and L-functions, Ber. Math., Shaker Verlag, 275, 287
• VALUES OF GENERAL DIRICHLET SERIES AND SIMULTANEOUS DIOPHANTINE APPROXIMATION, H. Nagoshi, Apr. 2010, LITHUANIAN MATHEMATICAL JOURNAL, 50, 2, 227, 238, Scientific journal

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• UNIVERSALITY FOR L-FUNCTIONS IN THE SELBERG CLASS, H. Nagoshi,J. Steuding, Jul. 2010, LITHUANIAN MATHEMATICAL JOURNAL, 50, 3, 293, 311, Scientific journal

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• An extension of Voronin's functional independence for a general Dirichlet series, Hirofumi Nagoshi, Aug. 2012, RIMS Kokyuroku Bessatsu, 34, 247, 264
• ON CLASS NUMBERS OF QUADRATIC FIELDS WITH PRIME DISCRIMINANT AND CHARACTER SUMS, Hidehiko Mishou,Hirofumi Nagoshi, Mar. 2012, KYUSHU JOURNAL OF MATHEMATICS, 66, 1, 21, 34, Scientific journal

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• THE MOMENTS AND STATISTICAL DISTRIBUTION OF CLASS NUMBERS OF QUADRATIC FIELDS WITH PRIME DISCRIMINANT, Hirofumi Nagoshi, Jan. 2012, LITHUANIAN MATHEMATICAL JOURNAL, 52, 1, 77, 94, Scientific journal

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• HYPERTRANSCENDENCE OF L-FUNCTIONS FOR GL(m)(A(Q)), Hirofumi Nagoshi, Jun. 2016, BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 93, 3, 388, 399, Scientific journal

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• Joint value-distribution of L-functions and discrepancy of Hecke eigenvalues(au), Hirofumi Nagoshi, Jul. 2016, LITHUANIAN MATHEMATICAL JOURNAL, 56, 3, 325, 356, Scientific journal

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• The joint universality for pairs of zeta functions in the Selberg class, H. Mishou,H. Nagoshi, Apr. 2017, ACTA MATHEMATICA HUNGARICA, 151, 2, 282, 327, Scientific journal

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• Joint universality for Dirichlet L-functions and zeros of their linear combinations in the -aspect, Hidehiko Mishou,Hirofumi Nagoshi, Jun. 2017, MONATSHEFTE FUR MATHEMATIK, 183, 2, 329, 355, Scientific journal

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• On a certain set of Lerch's zeta-functions and their derivatives, Hirofumi Nagoshi, Jan. 2019, Lithuanian Mathematical Journal, 59, 1

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• Non-universality of the Riemann zeta function and its derivatives when σ≧1, Hirofumi Nagoshi,Takashi Nakamura, May 2019, Journal of Approximation Theory, 241, 57, 62

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• Joint universality and simple $a$-points of Lerch zeta-functions, Hirofumi Nagoshi, Jun. 2021, Moscow Journal of Combinatorics and Number Theory, 10, 2, 121, 139

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MISC

• Joint probability distribution and its density function for values of the logarithms of the Riemann zeta-function and related functions, Hirofumi Nagoshi, Jul. 2023, 2259, 150, 155
• The Sato-Tate conjecture and functional differential independence of symmetric power L-functions, Hirofumi Nagoshi, Oct. 2019, 2131, 71, 76
• Zeros of the L-function attached to a cusp form and some applications of Selberg's orthogonality, Hirofumi Nagoshi, Jan. 2017, RIMS Kokyuroku, 2014, 86, 95
• On value distribution of quadratic L-functions, Hidehiko Mishou,Hirofumi Nagoshi, 2004, 1384, 80, 86
• Spectra of arithmetic infinite graphs, 名越 弘文, Sep. 2002
• Critical values of automorphic L-functions and a central limit theorem, Hirofumi Nagoshi, 2002, 1274, 123, 129
• L関数の値分布とランダム性, 名越 弘文, 2002, 1256, 161, 171
• The universality of the family of automorphic L-functions, Hirofumi Nagoshi, 2001, 1219, 195, 205
• 関数体上のセルバーグ・ゼータ関数, 名越 弘文, 1999, 1103, 138, 149
• Functional independence and randomness of L-functions, Hirofumi Nagoshi, 2009, 1659, 116, 126
• Joint value-distribution and independence of L-functions, Hirofumi Nagoshi, 2011
• 数論とランダム行列理論, 名越 弘文, Feb. 2007, 524, 12, 17

Presentations

• Joint probability distribution and its density function for values of the logarithms of the Riemann zeta-function and related functions, Hirofumi Nagoshi, Analytic Number Theory and Related Topics, 14 Oct. 2022, Kyoto, Japan
• Difference-differential independence of the Riemann zeta-function, 名越 弘文, 群大桐生数論セミナー, 08 Dec. 2018
• The existence of zeros of non-primitive L-functions for SL(2, Z) in the strip 1/2 < Re s < 1, Hirofumi Nagoshi, Diophantine Analysis and Related Fields 2015, 07 Mar. 2015
• Zeros of the L-function attached to a cusp form and some applications of Selberg's orthogonality, Hirofumi Nagoshi, Analytic Number Theory and Related Areas, 05 Nov. 2015
• The Sato-Tate conjecture and functional differential independence ofsymmetric power L-functions, Hirofumi Nagoshi, Analytic Number Theory and Related Topics, 30 Oct. 2018, Kyoto University, Kyoto
• Mean values of class numbers of quadratic fields with prime discriminants, 日本数学会2004年度年会, 2004
• Ayoub-Chowla-Walum の問題と素判別式の二次体の類数について, 日本数学会2004年度秋季総合分科会, 2004
• A joint universality theorem for the Riemann zeta-function and an automorphic L-function under the Generalized Riemann Hypothesis, Limit Theorems and Zeta Functions, 2005
• Joint universality of Lerch zeta-functions, uniform distribution and discrepancy, International Conference on Probability and Number Theory 2005, 2005
• The universality of Rankin-Selberg L-functions in the level aspect, International Conference on Probability and Number Theory 2005, 2005
• Functional independence of L-functions for GL(n), 日本数学会2008年度秋季総合分科会, 2008
• Simultaneous nonvanishing of twisted L-functions, 日本数学会2008年度秋季総合分科会, 2008
• Functional independence and randomness of L-functions, Automorphic representations, automorphic L-functions and arithmetic, 2009
• Algebraic independence of L-functions over Dirichlet polynomials andsimultaneous Diophantine approximation, 日本数学会2009年度秋季総合分科会, 2009
• Joint value-distribution and independence of L-functions, Analytic Number Theory - through Value Distribution and other Properties of Analytic Functions, 2010
• Independence of L-functions, RIMS Project Research 2010 "Functions in Number Theory and Their Probabilistic Aspects", 2010
• 実指標 Dirichlet L関数間の同時d-普遍性と類数たちの多次元稠密性, 日本数学会2014年度秋季総合分科会, 2014
• The moments and statistical distribution of class numbers of quadratic fields with prime discriminant, 解析数論セミナー, 2012
• Combining three theorems on the joint universality of L-functions, 日本数学会2014年度年会, 2014
• Independence of L-functions and the Nevanlinna characteristic, 日本数学会2013年度秋季総合分科会, 2013
• 同時普遍性を持つ任意個数の保型L関数たちの例, 日本数学会2013年度秋季総合分科会, 2013

Research Projects

• Analytic properties of zeta- and L-functions in number theory, The Other Research Programs, Competitive research funding