Hidekazu Tanaka

collaborators

5 papers

math.NT2022

Transcendency of the determinant of the Riemann operator: on higher $K$ -groups

Nobushige Kurokawa, Hidekazu Tanaka

In previous papers we investigated basic properties of the determinant $G_{K} (s)$ of the Riemann operator: $R$ acting on $⨁_{n > 1} K_{n} (A)_{C}$ , where $…

math.NT2022

Determinants of Riemann operators on Quillen's higher $K$ -groups: periodicity

Nobushige Kurokawa, Hidekazu Tanaka

In a previous paper [KT] we introduced determinant of the Riemann operator on Quillen's higher $K$ -groups of the integer ring of an algebraic number field $K$ . We showed that the d…

math.NT2022

Riemann operators on higher $K$ -groups

Nobushige Kurokawa, Hidekazu Tanaka

We introduce Riemann operators acting on Quillen's higher $K$ --groups $K_{n} (A)$ for the integer ring $A$ of an algebraic number field $K$ . Especially we prove that gamma factors o…

math.NT2022

Variations on theorems of Mertens

Nobushige Kurokawa, Hidekazu Tanaka

We present variations on theorems of Mertens as special cases of Density Hypothesis. Moreover, we study a Serre's estimate concerning Lang-Weil estimate.

math.NT2021

Infinite products of absolute zeta functions

Nobushige Kurokawa, Hidekazu Tanaka

We study some infinite products of absolute zeta functions. Especially, we consider the convergence and the rationality of them.

Transcendency of the determinant of the Riemann operator: on higher K-groups

Determinants of Riemann operators on Quillen's higher K-groups: periodicity

Riemann operators on higher K-groups

Variations on theorems of Mertens

Infinite products of absolute zeta functions

Transcendency of the determinant of the Riemann operator: on higher $K$ -groups

Determinants of Riemann operators on Quillen's higher $K$ -groups: periodicity

Riemann operators on higher $K$ -groups