4 citations · 4 across the 3 of their papers we have counts for
6 papers
On the distribution of and in the modulus aspect
Manami Hosoi, Yumiko Umegaki
Let be a primitive Dirichlet character whose conductor is a prime number. For the certain averages of values of in -aspect at a fixed , under G…
Asymptotic formulas for the logarithm of general L-functions at and near s=1
Kohji Matsumoto, Yumiko Umegaki
We consider a general form of L-function L(s) defined by an Euler product and satisfies several analytic assumptions. We show several asymptotic formulas for L(1) and log L(1). In…
On the value-distribution of the logarithms of symmetric square L-functions in the level aspect
Philippe Lebacque, Kohji Matsumoto, Yumiko Umegaki
We consider the value distribution of logarithms of symmetric square L-functions associated with newforms of even weight and prime power level at real s> 1/2. We prove that certain…
On the value-distribution of symmetric power L-functions
Kohji Matsumoto, Yumiko Umegaki
We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of "M-functions"). Limit formulas for the Riemann zeta-function, Diric…
On the density function for the value-distribution of automorphic -functions
Kohji Matsumoto, Yumiko Umegaki
The Bohr-Jessen limit theorem is a probabilistic limit theorem on the value-distribution of the Riemann zeta-function in the critical strip. Moreover their limit measure can be wri…
On the value-distribution of the difference between logarithms of two symmetric power -functions
Kohji Matsumoto, Yumiko Umegaki
We consider the value distribution of the difference between logarithms of two symmetric power -functions at . We prove that certain averages of those values can be wr…