Let Tn(x) denote the n'th Tchebycheff polynomial, and let p be an odd prime. For any integer x, the rank of its residue class modulo p is defined to be the least positive integer r for which Tr(x) ≡ 1 ...
In this paper we establish infinite families of prime divisibility properties for the partition function p(n,m,N) enumerating partitions into at most m parts with no part larger than N. These ...
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