2 citations · 2 across the 18 of their papers we have counts for
5 papers · 1 filter
Inequalities for Plane Partitions
Bernhard Heim, Markus Neuhauser, Robert Tröger
Inequalities are important features in the context of sequences of numbers and polynomials. The Bessenrodt--Ono inequality for partition numbers and Nekrasov--Okounkov polynomials…
Proof of the Bessenrodt--Ono inequality by Induction
Bernhard Heim, Markus Neuhauseer
In 2016 Bessenrodt--Ono discovered an inequality addressing additive and multiplicative properties of the partition function. Generalization by several authors have been given; on…
Asymptotic Distribution of the Zeros of recursively defined Non-Orthogonal Polynomials
Bernhard Heim, Markus Neuhauser
We study the zero distribution of non-orthogonal polynomials attached to : \begin{equation*} Q_n^g(x)= x \sum_{k=1}^n g(k) \, Q_{n-k}^g(x), \quad Q_0^g(x):=1. \end{e…
Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series
Bernhard Heim, Markus Neuhauser
In this paper we give a classification of the asymptotic expansion of the -expansion of reciprocals of Eisenstein series of weight for the modular group $\func{SL}_2(\…
On the growth and zeros of polynomials attached to arithmetic functions
Bernhard Heim, Markus Neuhauser
In this paper we investigate growth properties and the zero distribution of polynomials attached to arithmetic functions and , where is normalized, of moderate growth, a…