Bernhard Heim

collaborators

3 papers

math.NT2024

Vanishing properties of Fourier coefficients of holomorphic $η$ -quotients

Kathrin Bringmann, Guoniu Han, Bernhard Heim +1

In this paper, we study vanishing of Fourier coefficients of holomorphic $η$ -quotients. We investigate examples of two different types: the first one involves integral weight CM ne…

math.NT2024

Periodic sign changes for weakly holomorphic $η$ -quotients

Kathrin Bringmann, Guoniu Han, Bernhard Heim +1

In this paper, we study sign changes of weakly holomorphic modular forms which are given as $η$ -quotients. We give representative examples for forms of negative weight, weight zero…

math.CO2024

Bessenrodt--Ono inequalities for $ℓ$ -tuples of pairwise commuting permutations

Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser

Let $S_{n}$ denote the symmetric group. We consider \begin{equation*} N_{\ell}(n) := \frac{\left\vert Hom\left( \mathbb{Z}^{\ell},S_n\right) \right\vert}{n!} \end{equation*} which al…

Vanishing properties of Fourier coefficients of holomorphic η-quotients

Periodic sign changes for weakly holomorphic η-quotients

Bessenrodt--Ono inequalities for ℓ-tuples of pairwise commuting permutations

Vanishing properties of Fourier coefficients of holomorphic $η$ -quotients

Periodic sign changes for weakly holomorphic $η$ -quotients

Bessenrodt--Ono inequalities for $ℓ$ -tuples of pairwise commuting permutations