JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 1, Pages 197 - 199
(April 2005)
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A RAMANUJAN CONGRUENCE VIA TWO-COLOR PARTITIONS
Neville Robbins (U. S. A.)
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Abstract: Let p(n) denote the partition function. Using properties of two-color partitions, we obtain a new proof of the Ramanujan congruence:
n? 4(mod 5) ? p(n) ? 0(mod 5). |
Keywords and phrases: partition function, Ramanujan congruence, two-color partitions. |
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