Kathrin Bringmann

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20242026

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Showing 2024 · math.NTShow all

4 papers · 2 filters

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

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 $η$ -quotients which are holomorphic modular forms. There is also a relation to Hurwitz class numbers.

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.NT2024

Asymptotics of commuting $ℓ$ -tuples in symmetric groups and log-concavity

Kathrin Bringmann, Johann Franke, Bernhard Heim

Denote by $N_{ℓ} (n)$ the number of $ℓ$ -tuples of elements in the symmetric group $S_{n}$ with commuting components, normalized by the order of $S_{n}$ . In this paper, we prove as…

Vanishing properties of Fourier coefficients of holomorphic η-quotients

Sign changes of Fourier coefficients for holomorphic eta-quotients

Periodic sign changes for weakly holomorphic η-quotients

Asymptotics of commuting ℓ-tuples in symmetric groups and log-concavity

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

Periodic sign changes for weakly holomorphic $η$ -quotients

Asymptotics of commuting $ℓ$ -tuples in symmetric groups and log-concavity