𝔖 Bobbio Scriptorium
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The Residue of p(N) Modulo Small Primes

✍ Scribed by Ken Ono


Book ID
110279077
Publisher
Springer US
Year
1998
Tongue
English
Weight
49 KB
Volume
2
Category
Article
ISSN
1382-4090

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Calculatingp(n) Modulo Small Primes Usin
✍ Lawrence Sze πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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