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On the Number of Partitions of a Number Into Unequal Parts

โœ Scribed by Loo-Keng Hua


Book ID
125670034
Publisher
American Mathematical Society
Year
1942
Tongue
English
Weight
374 KB
Volume
51
Category
Article
ISSN
0002-9947

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The 2-Adic Behavior of the Number of Par
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)