Results 71 to 80 of about 5,312,961 (166)

On Epstein's zeta function [PDF]

open access: yesActa Arithmetica, 1964
Bateman, P. T., Grosswald, E.
openaire   +2 more sources

Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems [PDF]

open access: yes, 2009
In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of graph directed Markov systems (GDMS ...
Hille, Martial R.
core   +2 more sources

REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS

open access: yes, 1989
We study expressions for the regularization of general multidimensional Epstein zeta-functions of the type [Formula: see text] After reviewing some classical results in the light of the extended proof of zeta-function regularization recently obtained ...
E. ELIZALDE, A. ROMEO
core   +1 more source

Computation and properties of the Epstein zeta function with high-performance implementation in EpsteinLib

open access: yes
The Epstein zeta function generalizes the Riemann zeta function to oscillatory lattice sums in higher dimensions. Beyond its numerous applications in pure mathematics, it has recently been identified as a key component in simulating exotic quantum ...
Busse, Jonathan   +2 more
core   +1 more source

On a divisor problem related to the Epstein Zeta-Function, II

open access: yes, 2011
International audienceRecently by the theory of modular forms and the Riemann zeta-function, Lü improved the estimates for the error term in a divisor problem related to the Epstein zeta-function established by Sankaranarayanan.
Wu, Jie, Zhai, Wenguang, Lü, Guangshi
core  

On a divisor problem related to the Epstein Zeta-Function, III

open access: yes, 2012
International audienceIn this paper we study the mean square of the error term ∆ * k (Q, x) in a divisor problem related to the Epstein zeta-function.
Wu, Jie, Zhai, Wenguang, Lü, Guangshi
core  

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