An infinite family of summation identities

Author:
S. F. Keating

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3433-3437

MSC (2000):
Primary 11-XX

DOI:
https://doi.org/10.1090/S0002-9939-02-06709-6

Published electronically:
May 29, 2002

MathSciNet review:
1913024

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Abstract | References | Similar Articles | Additional Information

Abstract: Theta functions have historically played a prominent role in number theory. One such role is the construction of modular forms. In this work, a generalized theta function is used to construct an infinite family of summation identities. Our results grew out of some observations noted during a presentation given by the author at the 1992 AMS-MAA-SIAM Joint Meetings in Baltimore.

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Additional Information

**S. F. Keating**

Affiliation:
Department of Mathematics and Computer Science, Eastern Connecticut State University, Willimantic, Connecticut 06226

Email:
keating@easternct.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06709-6

Received by editor(s):
May 29, 2001

Published electronically:
May 29, 2002

Communicated by:
Dennis A. Hejhal

Article copyright:
© Copyright 2002
American Mathematical Society