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An infinite family of summation identities


Author: S. F. Keating
Journal: Proc. Amer. Math. Soc. 130 (2002), 3433-3437
MSC (2000): Primary 11-XX
Published electronically: May 29, 2002
MathSciNet review: 1913024
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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