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On a partition analog of the Cauchy-Davenport theorem

✍ Scribed by David J. Grynkiewicz


Book ID
106343269
Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
262 KB
Volume
107
Category
Article
ISSN
1588-2632

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For i=1, 2, 3, 4, let Q i (n) denote the number of partitions of n into distinct parts i (mod 4). New weighted identities in three free parameters are established connecting Q i (n) with partitions whose parts differ by 4 and such that consecutive members of the arithmetic progression #i (mod 4) can