On Refining Partitions into Unequal Parts
โ Scribed by Wright, E. M.
- Book ID
- 120096218
- Publisher
- Oxford University Press
- Year
- 1976
- Tongue
- English
- Weight
- 60 KB
- Volume
- s2-13
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let Q(N ) denote the number of partitions of N into distinct parts. If |(k) := (3k 2 +k)ร2, then it is well known that In this short note we start with Tunnell's work on the ``congruent number problem'' and show that Q(N ) often satisfies ``weighted'' recurrence type relations. For every N there is
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.