Easy proofs of Riemannâs functional equation for $\zeta (s)$ and of Lipschitz summation
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- by Marvin Knopp and Sinai Robins PDF
- Proc. Amer. Math. Soc. 129 (2001), 1915-1922 Request permission
Abstract:
We present a new, simple proof, based upon Poisson summation, of the Lipschitz summation formula. A conceptually easy corollary is the functional relation for the Hurwitz zeta function. As a direct consequence we obtain a short, motivated proof of Riemannâs functional equation for $\zeta (s)$.References
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Additional Information
- Marvin Knopp
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- Sinai Robins
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- MR Author ID: 342098
- Email: srobins@math.temple.edu
- Received by editor(s): November 5, 1999
- Published electronically: February 2, 2001
- Communicated by: Dennis A. Hejhal
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1915-1922
- MSC (2000): Primary 11M35, 11M06
- DOI: https://doi.org/10.1090/S0002-9939-01-06033-6
- MathSciNet review: 1825897