Takashi Nakamura

activity

20102023

most citedA complete Riemann zeta distribution and the Riemann hypothesis

22 citations · 28 across the 8 of their papers we have counts for

collaborators

7 papers

math.NT2020★ 5 cited

The values of zeta functions composed by the Hurwitz and periodic zeta functions at integers

Takashi Nakamura

For $s \in C$ and $0 < a < 1$ , let $ζ (s, a)$ and $Li_{s} (e^{2 π ia})$ be the Hurwitz and periodic zeta functions, repectively. For $0 < a \leq 1/2$ , put $Z(s,a) := ζ(s,…

math.NT2020

On a basis for Euler-Zagier double zeta functions with non-positive components

Hideki Murahara, Takashi Nakamura

For a non-negative integer $N$ , let $Z_{N} := \sum_{c = 0}^{N} Q \cdot ζ (- c, s + c)$ , where the right-hand side is the vector space spanned by the Euler-Zagier double z…

math.PR2016

Zeta distributions generated by multidimensional polynomial Euler products with complex coefficients

Takashi Nakamura

In the present paper, we treat multidimensional polynomial Euler products with complex coefficients on $R^{d}$ . We give necessary and sufficient conditions for the multidi…

math.NT2016

Zeros of polynomials of derivatives of zeta functions

Takashi Nakamura

Let $P_{s} \in D_{s} [X_{0}, X_{1}, \dots, X_{l}]$ be a polynomial whose coefficients are the ring of all general Dirichlet series which converge absolutely in the half-plane $\Re (s…

math.ST2015★ 22 cited

A complete Riemann zeta distribution and the Riemann hypothesis

Takashi Nakamura

Let $σ, t \in R$ , $s = σ + i t$ , $Γ (s)$ be the Gamma function, $ζ (s)$ be the Riemann zeta function and $ξ (s) := s (s - 1) π^{- s /2} Γ (s /2) ζ (s)$ be the complete Riemann zeta fun…

math.NT2015

Selberg's orthonormality conjecture and joint universality of L-functions

Yoonbok Lee, Takashi Nakamura, Łukasz Pańkowski

In the paper we introduce the new approach how to use an orthonormality relation of coefficients of Dirichlet series defining given L-functions from the Selberg class to prove join…