Research theme for competitive and other funds (5)：
2021 - 2024 L関数たちの集合に対する値分布とその応用
2017 - 2020 Study on random distribution and independence of L-functions
2013 - 2016 Study on the theory of approximation for L-functions
2003 - 2005 数論におけるディリクレ級数に対する普遍性定理の精密化と確率的値分布の研究
Analytic properties of zeta- and L-functions in number theory
Papers (24)：
Hirofumi Nagoshi. Joint universality and simple $a$-points of Lerch zeta-functions. Moscow Journal of Combinatorics and Number Theory. 2021. 10. 2. 121-139
Hidehiko Mishou, Hirofumi Nagoshi. Joint universality for Dirichlet L-functions and zeros of their linear combinations in the $\chi $-aspect. Monatshefte für Mathematik. 2017. 183. 2. 329-355
H. Mishou, H. Nagoshi. The joint universality for pairs of zeta functions in the Selberg class. ACTA MATHEMATICA HUNGARICA. 2017. 151. 2. 282-327
Joint probability distribution and its density function for values of the logarithms of the Riemann zeta-function and related functions
(Analytic Number Theory and Related Topics 2022)
Difference-differential independence of the Riemann zeta-function
(群大桐生数論セミナー 2018)
The Sato-Tate conjecture and functional differential independence ofsymmetric power L-functions
(Analytic Number Theory and Related Topics 2018)
Zeros of the L-function attached to a cusp form and some applications of Selberg's orthogonality
(Analytic Number Theory and Related Areas 2015)
The existence of zeros of non-primitive L-functions for SL(2, Z) in the strip 1/2 < Re s < 1
(Diophantine Analysis and Related Fields 2015 2015)
