A $q$-series identity and the arithmetic of Hurwitz zeta functions
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- by Gwynneth H. Coogan and Ken Ono PDF
- Proc. Amer. Math. Soc. 131 (2003), 719-724 Request permission
Abstract:
Using a single variable theta identity, which is similar to the Jacobi Triple Product identity, we produce the generating functions for values of certain expressions of Hurwitz zeta functions at non-positive integers.References
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Additional Information
- Gwynneth H. Coogan
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Email: gwynneth@math.wisc.edu
- Ken Ono
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 342109
- Email: ono@math.wisc.edu
- Received by editor(s): October 22, 2001
- Published electronically: July 25, 2002
- Additional Notes: The authors thank the National Science Foundation for their generous support. The second author also thanks the Alfred P. Sloan Foundation and the David and Lucile Packard Foundation for their generous support
- Communicated by: David E. Rohrlich
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 719-724
- MSC (2000): Primary 11B65, 11M35
- DOI: https://doi.org/10.1090/S0002-9939-02-06649-2
- MathSciNet review: 1937408