16 citations · 88 across the 64 of their papers we have counts for
6 papers · 2 filters
Fractional partitions and conjectures of Chern-Fu-Tang and Heim-Neuhauser
Kathrin Bringmann, Ben Kane, Larry Rolen +1
Many papers have studied inequalities for partition functions. Recently, a number of papers have considered mixtures between additive and multiplicative behavior in such inequaliti…
Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection
Ben Kane, Sudhir Pujahari
In this paper, we study moments of Hurwitz class numbers associated to imaginary quadratic orders restricted into fixed arithmetic progressions. In particular, we fix in an ari…
The degenerate parts of spaces of meromorphic cusp forms under a regularized inner product
Kathrin Bringmann, Ben Kane
We investigate the inner product between meromorphic modular forms from certain distinguished subspaces. In particular, we compute the degenerate parts of these subspaces and furth…
On -core and self-conjugate -core partitions in arithmetic progressions
Kathrin Bringmann, Ben Kane, Joshua Males
We extend recent results of Ono and Raji, relating the number of self-conjugate -core partitions to Hurwitz class numbers. Furthermore, we give a combinatorial explanation for t…
Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields
Zilong He, Ben Kane
In this paper, we investigate sign changes of Fourier coefficients of half-integral weight cusp forms. In a fixed square class , we investigate the sign changes in t…
Class numbers and representations by ternary quadratic forms with congruence conditions
Kathrin Bringmann, Ben Kane
In this paper, we are interested in the interplay between integral ternary quadratic forms and class numbers. This is partially motivated by a question of Petersson.