Mario Neumuller

activity

20182021

collaborators

3 papers

math.NT2021

On the asymptotic behavior of Sudler products along subsequences

Mario Neumüller

Let $α \in (0, 1)$ and irrational. We investigate the asymptotic behaviour of sequences of certain trigonometric products (Sudler products) $(P_{N} (α))_{N \in N}$ with $$P_N(α)…

math.NT2019

On the asymptotic behaviour of the sine product $\prod_{r = 1}^{n} ∣2 sin (π r α) ∣$

Sigrid Grepstad, Lisa Kaltenböck, Mario Neumüller

In this paper we review recently established results on the asymptotic behaviour of the trigonometric product $P_{n} (α) = \prod_{r = 1}^{n} ∣2 sin π r α ∣$ as $n \to \infty$ . We focus on ir…

math.NT2018

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

Sigrid Grepstad, Mario Neumüller

We study the asymptotic behaviour of the sequence of sine products $P_{n} (α) = \prod_{r = 1}^{n} ∣2 sin π r α ∣$ for real quadratic irrationals $α$ . In particular, we study the subsequence…

On the asymptotic behavior of Sudler products along subsequences

On the asymptotic behaviour of the sine product ∏r=1n​∣2sin(πrα)∣

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

On the asymptotic behaviour of the sine product $\prod_{r = 1}^{n} ∣2 sin (π r α) ∣$