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$\zeta(n)$ via
hyperbolic functions
Joseph D’Avanzo and Nikolai A. Krylov
Vol. 3 (2010), No. 3, 289–296
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Abstract |
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We present an approach to compute by changing variables in the double integral using hyperbolic trigonometric functions. We also apply this approach to present , when , as a definite improper integral of a single variable. |
Keywords
multiple integrals, Riemann's zeta function
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Mathematical Subject Classification 2000
Primary: 26B15
Secondary: 11M06
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Milestones
Received: 13 November 2009
Accepted: 29 June 2010
Published: 16 October 2010
Communicated by Ken Ono
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Authors |
| Joseph D’Avanzo | |
| Siena College Department of Mathematics 515 Loudon Road Loudonville, NY 12211 United States |
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| Nikolai A. Krylov | |
| Siena College Department of Mathematics 515 Loudon Road Loudonville, NY 12211 United States |
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