5 papers
A direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operators
Kathrin Bringmann, Ben Kane
In this paper, we give a direct conceptual proof of the main result of Mono, Rolen, and Stumpenhusen, using differential operators. More precisely, we realize their functions $Ï_{…
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…
Asymptotics for the Enumeration of Commuting Matrices over Finite Fields
Kathrin Bringmann, Shane Chern, Johann Franke +1
We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.
A generic approach to proving Turán-type inequalities for sequences that admit exact formulas, with an application to unimodal sequences
Koustav Banerjee, Kathrin Bringmann, Ben Kane
We derive an asymptotic expansion with effective error bound for , counting the number of unimodal sequences of size . We prove that satisfies the higher order TurÃ…