Theoretical Statistics and Mathematics Unit, ISI Delhi

October 17, 2012 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Nayandeep Deka Baruah,
Tezpur University

Title:
Ramanujan's Theta Functions and Modular Equations with Applications to Partitions

Abstract of Talk

Certain modular equations and theta function identities of Ramanujan
imply beautiful partition identities. In this talk, we will discuss Farkas-Kra-type
partition identities deducible from Ramanujan's modular equations and
some results on $t$-cores arising from his theta functions, where a partition is
called a $t$-core if it has no hook numbers that are multiples of $t$. We will also
discuss a new proof of Ramanujan's so-called ``Most Beautiful Identity.''