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Ramsey partitions of integers and pair divisions

✍ Scribed by Kevin McAvaney; Jack Robertson; William Webb


Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
439 KB
Volume
12
Category
Article
ISSN
0209-9683

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Divisibility and Distribution of Partiti
✍ Jeremy Lovejoy πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 116 KB

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.