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A generalization of Lerch’s formula

Czechoslovak Mathematical Journal

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

A generalized Euler-Maclaurin formula for the Hurwitz zeta function

Mathematica Slovaca

Acta Arithmetica

A Note on the Hurwitz Zeta Function

Matematički Vesnik

A Note on the Voronoi Summation Formula.

Monatshefte für Mathematik

Acta Arithmetica

A simple proof of the mean fourth power estimate for $\zeta \left(\frac{1}{2}+it\right)$ and $L\left(\frac{1}{2}+it,\chi \right)$

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Acta Arithmetica

Acta Arithmetica

Addendum to the paper " On the zeros of a class of generalized Dirichlet series".

Journal für die reine und angewandte Mathematik

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

Collectanea Mathematica

We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.

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

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...

An approach to zeta-function of finite factorgraph via the Markov topological chains

Zapiski naucnych seminarov POMI

An Asymptotic Formula in the Theory of Numbers.

Mathematische Annalen

An Asymptotic Formula in the Theory of Numbers. II:

Mathematische Annalen

An Asymptotic Formula in the Theory of Numbers. III.

Mathematische Annalen

An asymptotic formula relating the Siegel zero and the class number of quadratic fields

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Acta Arithmetica

Acta Arithmetica

An integral involving the generalized zeta function.

International Journal of Mathematics and Mathematical Sciences

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