An infinite family of summation identities

Keating, S.

doi:10.1090/S0002-9939-02-06709-6

An infinite family of summation identities
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by S. F. Keating PDF

Proc. Amer. Math. Soc. 130 (2002), 3433-3437 Request permission

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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