Integer partitions, q-series, and Modular forms

김병찬 (서울과학기술 대학)
2011. 11. 17.

In this talk, we briefly introduce how a combinatorial object, Integer partition, is related with number theoretic subjects : q-series and modular forms. In particular, we will focus on
(1) combinatorial proof for q-series identities
(2) arithmetic and analytic aspects of partition function