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

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Showing 2014Show all

2 papers · 1 filter

math.PR2014★ 1 cited

Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions

Takashi Nakamura

In this paper, we give Hurwitz-Lerch zeta distributions with $0 < σ \neq = 1$ by using the Gamma function. Moreover, we define Hurwitz-Lerch type of Euler-Zagier double zeta distributi…

math.NT2014★ 3 cited

Real zeros of Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta functions

Takashi Nakamura

Let $0 < a \leq 1$ , $s, z \in C$ and $0 < ∣ z ∣ \leq 1$ . Then the Hurwitz-Lerch zeta function is defined by $Φ (s, a, z) := \sum_{n = 0}^{\infty} z^{n} (n + a)^{- s}$ when $σ := ℜ (s) > 1$ .…