A well-known result on partitions is the asymptotic expression given by Hardy and Ramanujan in 1918. The techniques employed are the circle method and modular functions. Here we are concerned with the former technique. In superconformal string theories, one can take the trace over a product of exponential of matrices to obtain the index. For our purposes, this index is a formal power series in two variables, of which we are interested in the asymptotic behavior. We aim to apply techniques used in partition asymptotics to understand the behavior of these indices.

Talk by Zishen Qu.