3 papers
math.AG2014
The asymptotic profile of -genera of Hilbert schemes of points on K3 surfaces
Jan Manschot, Jose Miguel Zapata Rolon
The Hodge numbers of the Hilbert schemes of points on algebraic surfaces are given by Göttsche's formula, which expresses the generating functions of the Hodge numbers in terms of…
math.NT2014
Asymptotics of higher order ospt-functions for overpartitions
Jose Miguel Zapata Rolon
In this paper we obtain asymptotic formulas for the positive crank and rank moments for overpartitions. Moreover, we show that crank and rank moments are asymptotically equal while…
math.NT2013
Asymptotics of crank generating functions and Ramanujan congruences
Jose Miguel Zapata Rolon
In this paper we obtain asymptotic formulas for the Fourier coefficients of an infinite family of crank generating functions. Moreover we use this result to show that the crank obe…