On a certain (mod ) identity and a method of proof by expansion

Authors:
Richard Blecksmith, John Brillhart and Irving Gerst

Journal:
Math. Comp. **56** (1991), 775-794

MSC:
Primary 11P83

DOI:
https://doi.org/10.1090/S0025-5718-1991-1068825-2

MathSciNet review:
1068825

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove the congruence

**[1]**R. Blecksmith, J. Brillhart, and I. Gerst,*Parity results for certain partition functions and identities similar to theta function identities*, Math. Comp.**48**(1987), 29-38. MR**866096 (87k:11113)****[2]**-,*Some infinite product identities*, Math. Comp.**51**(1988), 301-314. MR**942157 (89f:05017)****[3]**-,*On the**reciprocation of infinite modular-part products and the parity of certain partition functions*, Math. Comp.**54**(1990), 345-376. MR**995206 (90g:05025)****[4]**-,*On a certain**identity*, Abstracts Amer. Math. Soc.**11**(1990), 145.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1991-1068825-2

Keywords:
Jacobi triple product,
quintuple product,
identity,
expansion formula

Article copyright:
© Copyright 1991
American Mathematical Society