Let Q(N) denote the number of partitions of N into distinct parts. If omega(k) := (3/k(2) + k)/2, then it is well known that [GRAPHICS] In this short note we start with Tunnell's work on the "congruent number problem" and show that Q(N) often satisfies "weighted" recurrence type relations. For every N there is a relation for Q(N) which may involve a special value of an elliptic curve L-function. (C) 1998 Academic Press. [References: 5]
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