Zeta(n) via hyperbolic functions

Abstract

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.

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

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Cited by in corpus (9)

• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• New Near Horizon Limit in Kerr/CFT
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• Scaling dimensions in hidden Kerr/CFT
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity