M. Neuhauser

activity

20182026

most citedRecords on the vanishing of Fourier coefficients of Powers Of the Dedekind Eta Function

10 citations · 12 across the 19 of their papers we have counts for

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math.CO2023

Polynomization of the Bessenrodt-Ono type inequalities for A-partition functions

Krystian Gajdzica, Bernhard Heim, Markus Neuhauser

For an arbitrary set or multiset $A$ of positive integers, we associate the $A$ -partition function $p_{A} (n)$ (that is the number of partitions of $n$ whose parts belong to $A$ ). We…

math.NT2023

Zeros Transfer For Recursively defined Polynomials

Bernhard Heim, Markus Neuhauser, Robert Troeger

The zeros of D'Arcais polynomials, also known as Nekrasov--Okounkov polynomials, dictate the vanishing of the Fourier coefficients of powers of the Dedekind functions. These polyno…

math.CO2023

Log-Concavity of Infinite Product and Infinite Sum Generating Functions

Bernhard Heim, Markus Neuhauser

We expand on the remark by Andrews on the importance of infinite sums and products in combinatorics. Let ${g_{d} (n)}_{d \geq 0, n \geq 1}$ be the double sequences $σ_d(n)= \sum_{\ell…