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math.NT2014
Arithmetic Properties of Andrews' Singular Overpartitions
Shi-Chao Chen, Michael D. Hirschhorn, James A. Sellers
In a very recent work, G. E. Andrews defined the combinatorial objects which he called {\it singular overpartitions} with the goal of presenting a general theorem for overpartition…
math.NT2011
Distribution of Coefficients of Modular Forms and the Partition Function
Shi-Chao Chen
Let be an odd prime and be positive integers. We study the distribution of the coefficients of integer and half-integral weight modular forms modulo odd positive…