On calculation of zeta function of integral matrix

Title:

On calculation of zeta function of integral matrix

Creator:

Janáček, Jiří

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cc715848-5b89-4419-a222-12b3df4446b1
uuid:cc715848-5b89-4419-a222-12b3df4446b1
doi:10.21136/MB.2009.140639

Subject:

Epstein zeta function, Riemann theta function, variance of volume estimate, and Rankin-Sobolev problem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Values of the Epstein zeta function of a positive definite matrix and the knowledge of matrices with minimal values of the Epstein zeta function are important in various mathematical disciplines. Analytic expressions for the matrix theta functions of integral matrices can be used for evaluation of the Epstein zeta function of matrices. As an example, principal coefficients in asymptotic expansions of variance of the lattice point count in the random ball are calculated for some lattices.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

49-58

Source:

Mathematica bohemica | 2009 Volume:134 | Number:1

Harvested from:

CDK

Metadata only:

false