Masahiro Mine
Masahiro Mine
出版論文 [MathSciNet]
The value-distribution of Artin L-functions associated with cubic fields in conductor aspect, Math. Z. 304 (2023), no. 4, Paper No. 64, 54pp.
Large deviations for values of L-functions attached to cusp forms in the level aspect, J. Math. Soc. Japan 75 (2023), no. 3, 941-981.
Probability density functions attached to random Euler products for automorphic L-functions, Q. J. Math. 73 (2022), no. 2, 397-442.
The density function for the value-distribution of the Lerch zeta-function and its applications, Michigan Math. J. 69 (2020), no. 4, 849-889.
On certain mean values of logarithmic derivatives of L-functions and the related density functions, Funct. Approx. Comment. Math. 61 (2019), no. 2, 179-199.
On M-functions for the value-distributions of L-functions, Lith. Math. J. 59 (2019), no. 1, 96-110.
プレプリント [arXiv]
An upper bound for the number of smooth values of a polynomial and its applications, arXiv:2410.9558, submitted.
New developments toward the Gonek Conjecture on the Hurwitz zeta-function, arXiv:2305.01262, submitted.
(with K. Endo and S. Inoue) Large deviation result for the Riemann zeta-function in the strip 1/2<sigma<1, submitted.
A random variable related to the Hurwitz zeta-function with algebraic parameter, arXiv:2210.15252, submitted.
(with P. Lebacque, K. Matsumoto, and Y. Umegaki) On the value-distribution of the logarithms of symmetric power L-functions in the level aspect, arXiv:2209.11918, submitted.
(with K. Endo and S. Inoue) On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: Probabilistic aspects, arXiv:2105:04781. (This will be upgraded in the future.)
On the value-distributions of logarithmic derivatives of Dedekind zeta-functions, arXiv:1705.07865. (This was upgraded to "On certain mean values of logarithmic derivatives of L-functions and the related density functions".)
その他の記事等
報告書
Hurwitz ゼータ関数の弱い形の強普遍性について, RIMS Kôkyûroku, no. 2285, 121-129, in "RIMS Workshop 2023 Analytic Number Theory and Related Topics". (written in Japanese)
Riemann ゼータ関数の対数の反復積分に対する極値分布, RIMS Kôkyûroku, no. 2222, 149-157, in "RIMS Workshop 2021 Analytic Number Theory and Related Topics".
保型 L 関数の族の値分布について, RIMS Kôkyûroku, no. 2162, 1-9, in "RIMS Workshop 2019 Analytic Number Theory and Related Topics".
Hurwitz ゼータ関数の値分布とそれに関連する密度関数, RIMS Kôkyûroku, no. 2131, 62-70, in "RIMS Workshop 2018 Analytic Number Theory and Related Topics".
学位論文
Probabilistic studies of the value-distributions of zeta and L-functions. [PDF]