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. Hard…
1. Introduction -- pt. I. Jacobi's triple product identity. 2. First proof (via functional equation). 3. Second proof (via Gaussian polynomials and the q-binomial theorem). 4. Some applications. 5. The Boson-Fermion correspondence. 6. Macdonald's identities -- pt. II. The Rogers…
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 …
