Integrals involving four Macdonald functions and their relation to 7zeta(3)/2

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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.
10 pages, Latex

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Mathematical Physics, Condensed Matter, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/57400

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0306004
 http://arxiv.org/abs/math-ph/0306004

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arXiv