Partitions with parts in a finite set

Mathematics – Number Theory

Scientific paper

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5 pages. To appear in the Proceedings of the American Mathematical Society

Scientific paper

Let A be a nonempty finite set of relatively prime positive integers, and let
p_A(n) denote the number of partitions of n with parts in A. An elementary
arithmetic argument is used to obtain an asymptotic formula for p_A(n).

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