Joseph T. D'Avanzo, Nikolai A. Krylov
Published 2010-07-07, updated 2010-07-29Version 2
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.
Comments: 10 pages, 1 figure, to be published in Involve, a Journal of Mathematics. A recent paper was added to the reference list
On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration
Convexity properties of generalized trigonometric and hyperbolic functions
On classical inequalities of trigonometric and hyperbolic functions
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