Displaying similar documents to “Analytic properties of zeta functions and subgroup growth.”

On the singularities of multiple L-functions

Alexandru Zaharescu, Mohammad Zaki (2010)

Open Mathematics

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We investigate the singularities of a class of multiple L-functions considered by Akiyama and Ishikawa [2].

A generalization of Lerch’s formula

Nobushige Kurokawa, Masato Wakayama (2004)

Czechoslovak Mathematical Journal

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

A functional relation for Tornheim's double zeta functions

Kazuhiro Onodera (2014)

Acta Arithmetica

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We generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral representations of several zeta functions, an extension of the parity result to the whole domain of convergence, concrete expressions of Tornheim's double zeta function at non-positive integers and some results on the behavior of a certain Witten's zeta...

Asymptotic analysis and special values of generalised multiple zeta functions

M. Zakrzewski (2012)

Banach Center Publications

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This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as...