Rchr
J-GLOBAL ID：202101013237010521
Update date: Nov. 03, 2024
Mine Masahiro
ミネ マサヒロ | Mine Masahiro
Affiliation and department：
Job title：
Assistant Professor
Homepage URL (2)：
https://sites.google.com/view/masaminemath/homejp
,
https://sites.google.com/view/masaminemath/home
Research field (1)：
Algebra
Research keywords (6)：
Analytic Number Theory
, zeta-function
, L-function
, probabilistic value-distribution
, M-function
, universality theorem
Research theme for competitive and other funds (4)：
- 2024 - 2029 ランダムディリクレ級数を用いたゼータ関数・多重ゼータ関数の研究
- 2022 - 2027 Value-distribution theory of zeta and multiple zeta functions
- 2023 - 2024 Probabilistic models of zeta-functions and applications to number theory
- 2019 - 2021 On the density functions related to the value-distributions of zeta-functions
Papers (6)：
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Masahiro Mine. Large deviations for values of L-functions attached to cusp forms in the level aspect. Journal of the Mathematical Society of Japan. 2023. 75. 3
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Masahiro Mine. The value-distribution of Artin L-functions associated with cubic fields in conductor aspect. Mathematische Zeitschrift. 2023. 304. 4
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Masahiro Mine. Probability density functions attached to random Euler products for automorphic L-functions. The Quarterly Journal of Mathematics. 2022. 73. 2. 397-442
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Masahiro Mine. The density function for the value-distribution of the Lerch zeta-function and its applications. Michigan Mathematical Journal. 2020. 69. 4. 849-889
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Masahiro Mine. On certain mean values of logarithmic derivatives of L-functions and the related density functions. Functiones et Approximatio Commentarii Mathematici. 2019. 61. 2. 179-199
ｍore...
MISC (8)：
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Masahiro Mine. An upper bound for the number of smooth values of a polynomial and its applications. preprint on arXiv. 2024
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Masahiro Mine. New developments toward the Gonek Conjecture on the Hurwitz zeta-function. preprint on arXiv. 2023
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Masahiro Mine. A random variable related to the Hurwitz zeta-function with algebraic parameter. preprint on arXiv. 2022
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Philippe Lebacque, Kohji Matsumoto, Masahiro Mine, Yumiko Umegaki. On the value-distribution of the logarithms of symmetric power L-functions in the level aspect. preprint on arXiv. 2022
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峰 正博. Riemann ゼータ関数の対数の反復積分に対する極値分布. 京都大学数理解析研究所講究録. 2022. 2222. 149-157
ｍore...
Lectures and oral presentations (37)：
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log(n+a) の族の線型独立性と smooth number の分布
(早稲田大学整数論セミナー 2024)
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ゼータ関数の普遍性-50周年に向けて
(第22回工学院大/早大GEC数理セミナー(第5回早大 CDS/GEC 研究会と共同開催) 2024)
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Hurwitz ゼータ関数の弱い形の強普遍性について
(2023年度RIMS 共同研究(公開型)「解析的整数論とその周辺」 2023)
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Zeros of the Hurwitz zeta-function with algebraic irrational parameter
(Second International Workshop in Analytic Number Theory 2023)
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On the Gonek Conjecture
(Universality, Zeta-Functions, and Chaotic Operators 2023)
ｍore...
Education (3)：
- 2018 - 2021 Tokyo Institute of Technology School of Science Doctoral course
- 2016 - 2018 Tokyo Institute of Technology School of Science Master's course
- 2012 - 2016 Tokyo Institute of Technology School of Science Bachelor's course
Professional career (1)：
- Doctor of Science (Tokyo Institute of Technology)
Work history (4)：
- 2023/09 - 現在 Waseda University Global Education Center Assistant Professor
- 2023/04 - 現在 Meiji Gakuin University Part-time Lecturer
- 2021/04 - 2021/08 Sophia University Faculty of Science and Technology JSPS Research Fellow (PD)
- 2019/04 - 2021/03 Tokyo Institute of Technology School of Science JSPS Research Fellow (DC2)
Association Membership(s) (1)：
The Mathematical Society of Japan
