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Arithmetic properties of partitions with even parts distinct

✍ Scribed by George E. Andrews; Michael D. Hirschhorn; James A. Sellers

Publisher
Springer US
Year
2010
Tongue
English
Weight
325 KB
Volume
23
Category
Article
ISSN
1382-4090

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We study the generating function for Q(n), the number of partitions of a natural number n into distinct parts. Using the arithmetic properties of Fourier coefficients of integer weight modular forms, we prove several theorems on the divisibility and distribution of Q(n) modulo primes p 5.