The p-Regular Partition Function Modulo p |
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Authors: | David Penniston |
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Institution: | Department of Mathematics, Furman University, Greenville, South Carolina, 29613, f1E-mail: david.penniston@furman.eduf1 |
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Abstract: | Let b?(n) denote the number of ?-regular partitions of n, where ? is a positive power of a prime p. We study in this paper the behavior of b?(n) modulo powers of p. In particular, we prove that for every positive integer j, b?(n) lies in each residue class modulo pj for infinitely many values of n. |
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