16 citations · 88 across the 64 of their papers we have counts for
69 papers
Hurwitz class number relations and mock modular forms
Kathrin Bringmann, Jia-Wei Guo, Ben Kane +2
A classical class number relation of Hurwitz expresses the Fourier coefficients of the product of a unary theta function and the class number generating function. Here, we establis…
On periodic sign changes for weighted representations of integers as colored sums of triangular and generalized pentagonal numbers
Ben Kane, Meenu Sharma
In this paper, we study sign changes and vanishing for the number of representations of an integer as a sum of triangular numbers plus three-colored sums of generalized pentagonal…
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…
Universal sums of generalized polygonal numbers of almost prime length
Soumyarup Banerjee, Ben Kane, Kwan To Ng
In this paper, we consider universal sums of generalized polygonal numbers. Fixing , we show two finiteness theorems for universal sums of generalized poly…
Vanishing properties of Fourier coefficients of holomorphic -quotients
Kathrin Bringmann, Guoniu Han, Bernhard Heim +1
In this paper, we study vanishing of Fourier coefficients of holomorphic -quotients. We investigate examples of two different types: the first one involves integral weight CM ne…
Sign changes of Fourier coefficients for holomorphic eta-quotients
Kathrin Bringmann, Guoniu Han, Bernhard Heim +1
In this paper we study sign changes of an infinite class of -quotients which are holomorphic modular forms. There is also a relation to Hurwitz class numbers.