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

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

2003-06-02

arxiv.org/abs/math-ph/0306004v2

Physics

Mathematical Physics

10 pages, Latex

Scientific paper

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.

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