10 papers
Some convolution identities for mock modular forms arising from the theory of holomorphic projection
Jonathan G. Bradley-Thrush, Frank Garvan, Jayashree Kalita +1
Convolution identities and recursive formulas have long played a role in the theory of holomorphic modular forms and their applications. These have served both as striking formulas…
On -congruences for meromorphic modular forms with supersingularity
Kathrin Bringmann, Pavel Guerzhoy, Ben Kane +2
In this paper, we investigate congruences for meromorphic modular forms which have a pole at a single point in the fundamental domain of . For a p…
Central -values of newforms and local polynomials
Joshua Males, Andreas Mono, Larry Rolen +1
In this paper, we characterize the vanishing of twisted central -values attached to newforms of square-free level in terms of certain polynomials of quadratic forms introduced b…
Strict Log-concavity of -coloured Partitions
Kathrin Bringmann, Ben Kane, Anubhab Pahari +1
In recent years, there has been extensive work on inequalities among partition functions. In particular, Nicolas, and independently DeSalvo--Pak, proved that the partition function…
Oscillating asymptotics and conjectures of Andrews
Amanda Folsom, Joshua Males, Larry Rolen +1
In 1986, Andrews studied the function from Ramanujan's ``Lost" Notebook, and made several conjectures on its Fourier coefficients , which count certain partition rank…
On a Divisor Modular Form and a Theta Lift
Andreas Mono, Larry Rolen, Johann Stumpenhusen
In 1975, Zagier introduced the highly influential hyperbolic Poincaré series . We connect the divisor modular form of to a new weak Maass form . Fur…