A “Difficult and Deep” Identity of Ramanujan

  • Michael D. HirschhornEmail author
Part of the Developments in Mathematics book series (DEVM, volume 49)


An identity, sent by Ramanujan in his first letter to Hardy, one of a handful that convinced Hardy that Ramanujan was a “mathematician of the highest class”, is presented. The proof is begun here, and finished after the Rogers–Ramanujan continued fraction is given in Chapter  15.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia

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