3 papers
math.NT2026
Connection between the Riemann zeta-function and random matrices via hyperfunctions
Masahiro Mine
Bohr pioneered the study of the statistical behavior of the Riemann zeta-function. A classical result by Bohr and Jessen revealed that the values of the Riemann zeta-function to th…
math.NT2024
An upper bound for the number of smooth values of a polynomial and its applications
Masahiro Mine
We prove a new upper bound for the number of smooth values of a polynomial with integer coefficients. This improves Timofeev's previous result unless the polynomial is a product of…
math.NT2021
On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects
Kenta Endo, Shōta Inoue, Masahiro Mine
In this paper, we discuss the value-distribution of the Riemann zeta-function. The authors give some results for the discrepancy estimate and large deviations in the limit theorem…