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An infinite family of summation identities
Author(s):
S.
F.
Keating
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3433-3437.
MSC (2000):
Primary 11-XX
Posted:
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.
References:
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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:
10.1090/S0002-9939-02-06709-6
PII:
S 0002-9939(02)06709-6
Received by editor(s):
May 29, 2001
Posted:
May 29, 2002
Communicated by:
Dennis A. Hejhal
Copyright of article:
Copyright
2002,
American Mathematical Society
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