Arithmetic of the 13-regular partition function modulo 3 |
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| Authors: | John J Webb |
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| Institution: | (1) Department of Mathematics and Statistics, Williams College, Williamstown, MA 01267, USA;(2) Department of Mathematics, Brown University, Providence, RI 02912, USA |
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| Abstract: | Let b
13(n) denote the number of 13-regular partitions of n. We study in this paper the behavior of b
13(n) modulo 3 where n≡1 (mod 3). In particular, we identify an infinite family of arithmetic progressions modulo arbitrary powers of 3 such that
b
13(n)≡0 (mod 3). |
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| Keywords: | |
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