The aim of this lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results i

The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades t

This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and mo

This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the Un

This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author’s personal and life-long study—inspire