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 (19)

• Hidden and Generalized Conformal Symmetry of Kerr-Sen Spacetimes
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Holographic Q-picture of Kerr-Newman-AdS-dS Black Hole
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• Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• New Near Horizon Limit in Kerr/CFT
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• Scaling dimensions in hidden Kerr/CFT
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• Correspondence between the contracted BTZ solution of cosmological topological massive gravity and two-dimensional Galilean conformal algebra
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity