Home » Ramanujan’s legacies in the world of partitions and q-series

Ramanujan’s legacies in the world of partitions and q-series

Dec 10, 2021

Dr. Shane Chern

Abstract: 

In his short but luminous life, Srinivasa Ramanujan left us with 21 papers and several short notes, and more importantly, his notebooks containing over 3,900 results, the originality of which has benefited the mathematical world at a substantial level. In this talk, I will give a historical account of Ramanujan’s contributions in the world of partitions and q-series, including Ramanujan’s congruences, the Rogers-Ramanujan identities, the Hardy-Littlewood-Ramanujan circle method, and the mock theta functions. 

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