117 citations · 201 across the 56 of their papers we have counts for
69 papers · 1 filter
On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras
Nikolaos Diamantis, Larry Rolen
Using the theory of von Neumann algebras, Vaughan Jones showed abstractly that there is a bridge between holomorphic cusp forms and random matrices. This bridge is supplied by a di…
The Jensen--Pólya program and inequalities for arithmetic sequences
Koustav Banerjee, Kathrin Bringmann, Larry Rolen
We develop an analytic framework to study hyperbolicity of Jensen polynomials and related inequalities for arithmetic sequences with general asymptotic growth. Our results provide…
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…
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…
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 . Furth…