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JCT
1998
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8 years 11 months ago
Partitions into Distinct Parts and Elliptic Curves
Let Q(N) denote the number of partitions of N into distinct parts. If ω(k) := 3k2 +k 2 , then it is well known that Q(N) + ∞X k=1 (−1)k “ Q(N − 2ω(k)) + Q(N − 2ω(−k)...
Ken Ono
COMBINATORICS
2004
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8 years 11 months ago
Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
In 1958, Richard Guy proved that the number of partitions of n into odd parts greater than one equals the number of partitions of n into distinct parts with no powers of 2 allowed...
James A. Sellers, Andrew V. Sills, Gary L. Mullen
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