Integrals involving four Macdonald functions and their relation to 7zeta(3)/2
Mathematical Physics
2007-05-23 v2 Condensed Matter
math.MP
Number Theory
Abstract
A family of multiple integrals over four variables is rewritten in terms of a family of simple integrals involving the product of four modified Bessel (Macdonald functions). The latter are shown to be related to 7zeta(3)/2. A generalization to 2n integration variables is given which yields only zeta at odd arguments.
Keywords
Cite
@article{arxiv.math-ph/0306004,
title = {Integrals involving four Macdonald functions and their relation to 7zeta(3)/2},
author = {Cyril Furtlehner and Stéphane Ouvry},
journal= {arXiv preprint arXiv:math-ph/0306004},
year = {2007}
}
Comments
10 pages, Latex