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A generalization of Lerch’s formula

Nobushige Kurokawa, Masato Wakayama (2004)

Czechoslovak Mathematical Journal

We give higher-power generalizations of the classical Lerch formula for the gamma function.

An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions (II).

Masanori Katsurada (2005)

Collectanea Mathematica

For the Lerch zeta-function Φ(s,x,λ) defined below, the multiple mean square of the form (1.1), together with its discrete and Irbid analogues, (1.2) and (1.3) are investigated by means of Atkinson's [2] dissection method applied to the product Φ(u,x,λ)Φ(υ,x,-λ), where u and υ are independent complex variables (see (4.2)). A complete asymptotic expansion of (1.1) as Im s → ±∞ is deduced from Theorem 1, while those of (1.2) and (1.3) as q → ∞ and (at the same time) as Im s → ±∞ are deduced from Theorems...

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