2 citations · 2 across the 9 of their papers we have counts for
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On the Non-vanishing of the D'Arcais Polynomials
Bernhard Heim, Markus Neuhauser
In this paper we invest in the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. This is reflected in non-vanishing properties of the D'Arcais polyn…
Asymptotic Normality of the Coefficients of the Morgan-Voyce Polynomials
Moussa Benoumhani, Bernhard Heim, Markus Neuhauser
We study arithmetic and asymptotic properties of polynomials provided by with initial value . The coefficients satisfy a central…
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…
Formulas for coefficients of polynomials assigned to arithmetic functions
Bernhard Heim, Markus Neuhauser
We attach to normalized (non-vanishing) arithmetic functions and recursively defined polynomials. Let . Then \begin{equation} P_n^{g,h}(x) := \frac{x}{h(n)…
On conjectures regarding the Nekrasov--Okounkov hook length formula
Bernhard Heim, Markus Neuhauser
The Nekrasov--Okounkov hook length formula provides a fundamental link between the theory of partitions and the coefficients of powers of the Dedekind eta function. In this paper w…