Markus Neuhäuser

collaborators

4 papers

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…

math.CO2022

Variations of Central Limit Theorems and Stirling numbers of the First Kind

Bernhard Heim, Markus Neuhauser

We construct a new parametrization of double sequences ${A_{n, k} (s)}_{n, k}$ between $A_{n, k} (0) = (k - 1 n - 1)$ and $A_{n,k}(1)= \frac{1}{n!}\stirl{n}{k}$, where $\stirl{n}{k}…

math.CO2022

Turán Inequalities for Infinite Product Generating Functions

Bernhard Heim, Markus Neuhauser

In the $1970$ s, Nicolas proved that the partition function $p (n)$ is log-concave for $n > 25$ . In \cite{HNT21}, a precise conjecture on the log-concavity for the plane partition f…