3 papers
math.CO2023
Partition theorems and the Chinese remainder theorem
Shi-Chao Chen
The famous partition theorem of Euler states that partitions of into distinct parts are equinumerous with partitions of into odd parts. Another famous partition theorem due…
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…