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On the number of partitions of n into k different parts

✍ Scribed by Byungchan Kim


Book ID
113731132
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
138 KB
Volume
132
Category
Article
ISSN
0022-314X

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The 2-Adic Behavior of the Number of Par
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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)