๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Refining Partitions into Unequal Parts

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


On Refining Partitions
โœ Erdos, P.; Guy, R. K.; Moon, J. W. ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 116 KB
Partitions into odd, enequal parts
โœ Gert Almkvist ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB
Partitions into Distinct Parts and Ellip
โœ Ken Ono ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

Let Q(N ) denote the number of partitions of N into distinct parts. If |(k) := (3k 2 +k)ร‚2, 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

Divisibility and Distribution of Partiti
โœ Jeremy Lovejoy ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.