Apery, Bessel, Calabi-Yau and Verrill

A differential equation related to the moments of Bessel functions is shown to have a solution at infinity with coefficients being squares of binomial coefficients.

Asymptotics of the number of partitions into p-cores and some trigonometric sums

An asymptotic formula for the number of partitions into p-cores is derived. As a byproduct some integer valued trigonometric sums are found