The Product and Quotient of Generating Series for Partitions and Sums of Squares

Soon-Yi Kang (강순이)

Department of Mathematical Sciences, KAIST

Department of Mathematical Sciences, KAIST

2009/11/13 Friday 4PM-5PM

We first present how to extend Ramanujan’s method in partition congruences and show a congruence relation that the coefficients of the quotient of generating series for partitions and sums of squares satisfy. Then we observe a combinatorial interpretation of the product of them and see whether we could find some arithmetic properties of its coefficients.

Tags: 강순이