Takashi Nakamura

activity

20102026

most citedA complete Riemann zeta distribution and the Riemann hypothesis

22 citations · 53 across the 28 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019

On zeros of bilateral Hurwitz and periodic zeta and zeta star functions

Takashi Nakamura

In this paper, we show the following; (1) The periodic zeta function $Li_{s} (e^{2 π ia})$ with $0 < a < 1/2$ or $1/2 < a < 1$ does not vanish on the real line. (2) All real zeros of…

math.NT2019★ 3 cited

Functional equation and zeros on the critical line of the quadrilateral zeta function

Takashi Nakamura

For $0 < a \leq 1/2$ , we define the quadrilateral zeta function $Q (s, a)$ using the Hurwitz and periodic zeta functions and show that $Q (s, a)$ satisfies Riemann's functional equation…