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Elementary Proofs of Infinitely Many Congruences for 8-Cores |
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| Authors: | Kolitsch Louis W. Sellers James A. |
| Affiliation: | (1) Department of Mathematics and Computer Science, The University of Tennessee at Martin, 424 Humanities Building, Martin, Tennessee, 38238–5049;(2) Department of Science and Mathematics, Cedarville College, P.O. Box 601, Cedarville, Ohio, 45314 |
| Abstract: | Using a very elementary argument, we prove the congruences where a8(n) is the number of 8-core partitions of n. We also exhibit two infinite families of congruences modulo 2 for 8-cores. |
| Keywords: | partitions congruences t-cores |
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