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Divisibility and Distribution of Partitions into Distinct Parts

✍ Scribed by Jeremy Lovejoy

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
116 KB
Volume
158
Category
Article
ISSN
0001-8708

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✦ Synopsis

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.

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