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Congruences for the number of -tuple partitions with distinct even parts

โœ Scribed by Chen, Shi-Chao

Book ID
120271359
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
346 KB
Volume
313
Category
Article
ISSN
0012-365X

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The 2-Adic Behavior of the Number of Par
The 2-Adic Behavior of the Number of Partitions into Distinct Parts
โœ Ken Ono; David Penniston ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

Let Q(n) denote the number of partitions of an integer n into distinct parts. For positive integers j, the first author and B. Gordon proved that Q(n) is a multiple of 2 j for every non-negative integer n outside a set with density zero. Here we show that if i 0 (mod 2 j ), then In particular, Q(n)