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The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction -- a result that convinced G H Hardy …
This paper is devoted to proving a general partition theorem that asserts the identity of two partition functions, involving the Rogers-Ramanujan and Göllnitz-Gordon identities.