5 papers
Braided cohomology of quasi-triangular bialgebras and braided Morita invariance
Shota Inoue, Ayako Itaba
In this paper, we introduce the braided cochain complex and the braided cohomology of braided coalgebras in linear monoidal categories, and compare those of braided coalgebras livi…
Explicit extreme values of the argument of the Riemann zeta-function
Shōta Inoue, Hirotaka Kobayashi, Yuichiro Toma
We investigate explicit extreme values of the argument of the Riemann zeta-function in short intervals. As an application, we improve the result of Conrey and Turnage-Butterbaugh c…
A note on -gaps between zeros of the Riemann zeta-function
Shōta Inoue
In this note, we prove Selberg's announced result on -gaps between zeros of the Riemann zeta-function . Our proof uses a result on variations of by Tsang based on Sel…
Simultaneous large values and dependence of Dirichlet -functions in the critical strip
Shōta Inoue, Junxian Li
We consider the joint value distribution of Dirichlet -functions in the critical strip . We show that the values of distinct Dirichlet -functions are depe…
Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments
Shōta Inoue
We discuss moments of the Riemann zeta-function in this paper. The purpose of this paper is to give an upper bound of exponential moments of the logarithm of the Riemann zeta-funct…