Results 11 to 20 of about 5,312,961 (166)

A Generalization of Epstein Zeta Functions

Canadian Journal of Mathematics, 1949
§ 1. An Epstein zeta function (in its simplest form) is a function represented by the Dirichlet's series where a1… ak are real and n1, n2, … nk run through integral values.
S. Minakshisundaram
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On a divisor problem related to the Epstein Zeta-Function, IV [PDF]

Acta Arithmetica, 2011
International audienceIn this paper we study several divisor problems related to the Epstein zeta-function.
Wu, Jie, Jie Wu, Zhai, Wenguang, Lü, Guangshi, Guangshi Lü, Wenguang Zhai   +5 more
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On Value Distribution of One Epstein Zeta-Function

Mathematics
The paper is devoted to Epstein zeta-function ζ3(s), s=σ+it, of a quadratic form of three variables. We obtain a probabilistic characterization of the function ζ3(s) in terms of weak convergence of probability measures in the space of analytic functions ...
Kalyan Chakraborty, Antanas Laurinčikas
doaj   +2 more sources

Moments of the Dedekind zeta function [PDF]

, 2013
We study analytic aspects of the Dedekind zeta function of a Galois extension. Specifically, we are interested in its mean values. In the first part of this thesis we give a formula for the second moment of the Dedekind zeta function of a quadratic ...
Heap, Winston
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On Evaluation of Riemann Zeta function ζ(s) [PDF]

, 2002
In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
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Exact continuum representation of long-range interacting systems and emerging exotic phases in unconventional superconductors

Physical Review Research, 2023
Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often unclear when long-range interactions are present.
Andreas A. Buchheit, Torsten Keßler, Peter K. Schuhmacher, Benedikt Fauseweh   +3 more
doaj   +1 more source

On the minima and convexity of Epstein zeta function [PDF]

Journal of Mathematical Physics, 2008
Let Zn(s;a1,…,an) be the Epstein zeta function defined as the meromorphic continuation of the function ∑k∊Zn\{0}(∑i=1n[aiki]2)−s,  Re s>n/2 to the complex plane. We show that for fixed s≠n/2, the function Zn(s;a1,…,an) as a function of (a1,…,an)∊(R+)n with fixed ∏i=1nai has a unique minimum at the point a1=⋯=an.
Lim, S. C., Teo, L. P.
openaire   +4 more sources

The holomorphic flow of the Riemann zeta function [PDF]

, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
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On Epstein's Zeta-function.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1967
Summary:
Chowla, S., Selberg, A.
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On the universality of the Epstein zeta function [PDF]

Commentarii Mathematici Helvetici, 2020
We study universality properties of the Epstein zeta function E_n(L,s) for lattices L of large dimension n
Andersson, Johan, Södergren, Carl Anders   +1 more
openaire   +3 more sources