Zeta(n) via hyperbolic functions

Details Zeta(n) via hyperbolic functions Zeta(n) via hyperbolic functions

2010-07-07

arxiv.org/abs/1007.3436v2

Mathematics

Classical Analysis and ODEs

10 pages, 1 figure, to be published in Involve, a Journal of Mathematics. A recent paper was added to the reference list

Scientific paper

10.1016/j.nuclphysb.2010.10.020

We present here an approach to a computation of $\zeta(2)$ by changing
variables in the double integral using hyperbolic trig functions. We also apply
this approach to present $\zeta(n)$, when $n>2$, as a definite improper
integral of single variable.

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