@inbook{5a34256946af440e963758dd78da04d0,

title = "Ramanujan's elementary method in partition congruences",

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.",

keywords = "Congruences, Jacobi's identity, Partitions, Pentagonal number theorem, Winquist's identity",

author = "Berndt, {Bruce C} and Chadwick Gugg and Sun Kim",

year = "2012",

doi = "10.1007/978-1-4614-0028-8_2",

language = "English (US)",

isbn = "9781461400271",

series = "Developments in Mathematics",

pages = "13--21",

editor = "KRISHNASWAMI ALLADI and FRANK GARVAN",

booktitle = "PARTITIONS, Q-SERIES, AND MODULAR FORMS",

}