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

MathSciNet review:
1068825

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove the congruence

**[1]**Richard Blecksmith, John Brillhart, and Irving Gerst,*Parity results for certain partition functions and identities similar to theta function identities*, Math. Comp.**48**(1987), no. 177, 29–38. MR**866096**, 10.1090/S0025-5718-1987-0866096-X**[2]**Richard Blecksmith, John Brillhart, and Irving Gerst,*Some infinite product identities*, Math. Comp.**51**(1988), no. 183, 301–314. MR**942157**, 10.1090/S0025-5718-1988-0942157-2**[3]**Richard Blecksmith, John Brillhart, and Irving Gerst,*On the 𝑚𝑜𝑑2 reciprocation of infinite modular-part products and the parity of certain partition functions*, Math. Comp.**54**(1990), no. 189, 345–376. MR**995206**, 10.1090/S0025-5718-1990-0995206-9**[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