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- W2034792214 abstract "A partition of a natural number n is a way of writing n as an unordered sum of natural numbers. The partition function p(n) counts the number of partitions of n. For example, p(4) = S, with 4,3 + 1,2 + 2,2 + 1 + 1,1 + 1 + 1 + 1 being the five partitions of 4. The extraordinary Ramanujan at first noticed, then proved, some very interesting congruence properties of p(n) modulo the primes S, 7, and 11. In fact, he generalized them to congruences modulo powers of those primes. For the prime S, Ramanujan's congruence is the following:" @default.
- W2034792214 created "2016-06-24" @default.
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- W2034792214 date "1997-12-01" @default.
- W2034792214 modified "2023-09-26" @default.
- W2034792214 title "A Shorter Proof of the Ramanujan Congruence Modulo 5" @default.
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- W2034792214 doi "https://doi.org/10.1080/00029890.1997.11990747" @default.
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