A fundamental modular identity and some applications

Authors:
Richard Blecksmith, John Brillhart and Irving Gerst

Journal:
Math. Comp. **61** (1993), 83-95

MSC:
Primary 11P83; Secondary 05A19, 11F11

DOI:
https://doi.org/10.1090/S0025-5718-1993-1197509-7

MathSciNet review:
1197509

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove a six-parameter identity whose terms have the form , where . This identity is then used to give a new proof of the familiar Ramanujan identity , where and . Two other identities, called "balanced identities", are also established through its use.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1993-1197509-7

Keywords:
Triple and quintuple product,
modular identity,
balanced and identity

Article copyright:
© Copyright 1993
American Mathematical Society