7 papers
Asymptotics for -fold partition diamonds and related infinite products
Kathrin Bringmann, William Craig, Joshua Males
We prove an asymptotic formula for the number of -fold partition diamonds of and their Schmidt-type counterparts. In order to do so, we study the asymptotic behavior of cert…
Exact formulae and Turán inequalities for Vafa-Witten invariants of surfaces
Daniel R. Johnston, Joshua Males
We consider three different families of Vafa-Witten invariants of surfaces. In each case, the partition function that encodes the Vafa-Witten invariants is given by combinatio…
Bivariate asymptotics for eta-theta quotients with simple poles
Giulia Cesana, Joshua Males
We employ a variant of Wright's circle method to determine the bivariate asymptotic behaviour of Fourier coefficients for a wide class of eta-theta quotients with simple poles in $…
Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms
Claudia Alfes-Neumann, Kathrin Bringmann, Joshua Males +1
In this paper, we investigate traces of cycle integrals of certain meromorphic modular forms. By relating them to regularised theta lifts we provide explicit formulae for them in t…
The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory
Joshua Males
In this paper we investigate a certain eta-theta quotient which appears in the partition function of entanglement entropy. Employing Wright's circle method, we give its bivariate a…
Asymptotic equidistribution and convexity for partition ranks
Joshua Males
We study the Dyson rank function , the number of partitions with rank congruent to modulo . We first show that it is monotonic in , and then show that it equidi…