CALCULATING P(N) MODULE SMALL PRIMES USING QUADRATIC-FORMS

We use a telescoping method suggested by Ono [5] to compute p(n) (mod l) as a weighted sum over l-affine partitions of size n. When l = 2; 3 , 5, 7, and 11, these sums are neatly described using binary quadratic forms. Moreover, one immediately obtains classical proofs of the Rama nujan congruences (mod 5), 7, and 11. (C) 1998 Academic Press.