21 citations · 31 across the 22 of their papers we have counts for
5 papers · 1 filter
Conjectures of Sun about sums of polygonal numbers
Kathrin Bringmann, Ben Kane
In this paper, we show that certain sums of generalized -gonal numbers represent every positive integer if and only if they represent every positive integer up to an explicit bo…
Formulas for moments of class numbers in arithmetic progressions
Kathrin Bringmann, Ben Kane, Sudhir Pujahari
In this paper, we obtain explicit formulas for the second moments for Hurwitz class numbers with running through a fixed congruence class modulo .
An asymptotic formula for the number of -dimensional representations of
Kathrin Bringmann, Johann Franke
We prove an asymptotic formula for the number of -dimensional representations of the group . Main tools for the proof are Wright's Circle Method and the Saddle P…
Graph Schemes, Graph Series, and Modularity
Kathrin Bringmann, Chris Jennings-Shaffer, Antun Milas
To a simple graph we associate a so-called graph series, which can be viewed as the Hilbert--Poincaré series of a certain infinite jet scheme. We study new -representations and…
Integral Representations of Rank Two False Theta Functions and Their Modularity Properties
Kathrin Bringmann, Jonas Kaszian, Antun Milas +1
False theta functions form a family of functions with intriguing modular properties and connections to mock modular forms. In this paper, we take the first step towards investigati…