Ramanujan's elementary method in partition congruences

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Abstract

Page 182 in Ramanujan's lost notebook corresponds to page 5 of an otherwise lost manuscript of Ramanujan closely related to his paper providing elementary proofs of his partition congruences p(5n + 4) ≡ 0 (mod 5) and p(7n+5) ≡ 0 (mod 7). The claims on page 182 are proved and discussed, and further results depending on Ramanujan's ideas are established. © Springer Science+Business Media, LLC 2012.

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Berndt, B. C., Gugg, C., & Kim, S. (2012). Ramanujan’s elementary method in partition congruences. Developments in Mathematics, 23, 13–21. https://doi.org/10.1007/978-1-4614-0028-8_2

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