Calculatingp(n) Modulo Small Primes Usin
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Lawrence Sze
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Article
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1998
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Elsevier Science
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English
β 239 KB
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 Ramanujan congruences (mod