論文等
出版物 [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]
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, to appear in RIMS Kôkyûroku, in "RIMS Workshop 2023 Analytic Number Theory and Related Topics".
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]