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 \(p(5_n+4) \equiv 0\) (mod 5) and \(p(7_n+5) \equiv 0\). The claims on page 182 are proved and discussed, and further results depending on Ramanujan’s ideas are established.
Mathematics Subject Classification: Primary: 11P83; Secondary: 11P81, 05A17
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Berndt, B.C., Gugg, C., Kim, S. (2012). Ramanujan’s Elementary Method in Partition Congruences. In: Alladi, K., Garvan, F. (eds) Partitions, q-Series, and Modular Forms. Developments in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0028-8_2
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DOI: https://doi.org/10.1007/978-1-4614-0028-8_2
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