M. Katsurada

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math.NT2022

Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for $ζ (2 k + 1)$ , Weierstrass' elliptic and allied functions

Masanori Katsurada, Takumi Noda

For a class of generalized holomorphic Eisenstein series, we establish complete asymptotic expansions (Theorems~1~and~2), which together with the explicit expression of the latter…

math.NT2021

Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms of Lerch zeta-functions

Masanori Katsurada

For a complex variable $s$ and real parameters $a$ and $λ$ with $a > 0$ , let $ϕ (s, a, λ)$ denote the Lerch zeta-function with a complex variable, $ϕ^{*} (s, a, λ)$ a slight modificatio…

Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for ζ(2k+1), Weierstrass' elliptic and allied functions

Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms of Lerch zeta-functions

Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for $ζ (2 k + 1)$ , Weierstrass' elliptic and allied functions