Articles
Publications [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.
Preprints [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".)
Other Articles
Proceedings
A weak form of strong universality for the Hurwitz zeta-function, to appear in RIMS Kôkyûroku, in "RIMS Workshop 2023 Analytic Number Theory and Related Topics". (written in Japanese)
Extreme value distributions for iterated integrals of the logarithm of the Riemann zeta-function, RIMS Kôkyûroku, no. 2222, 149-157, in "RIMS Workshop 2021 Analytic Number Theory and Related Topics". (written in Japanese)
Value-distributions for families of automorphic L-functions, RIMS Kôkyûroku, no. 2162, 1-9, in "RIMS Workshop 2019 Analytic Number Theory and Related Topics". (written in Japanese)
The value-distribution of the Hurwitz zeta function and the related density function, RIMS Kôkyûroku, no. 2131, 62-70, in "RIMS Workshop 2018 Analytic Number Theory and Related Topics". (written in Japanese)
Thesis
Probabilistic studies of the value-distributions of zeta and L-functions. [PDF]