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arXiv · 1007.3436

Zeta(n) via hyperbolic functions

Joseph T. D'Avanzo·Nikolai A. Krylov
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Abstract

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

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Joseph T. D'Avanzo, Nikolai A. Krylov. 2010-07-29. Zeta(n) via hyperbolic functions. https://doi.org/10.1016/j.nuclphysb.2010.10.020

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