Mario Neumuller

activity

20162021

most citedOn the asymptotic behaviour of the sine product

\prod_{r = 1}^{n} ∣2 sin (π r α) ∣

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018

A positive lower bound for $lim inf_{N \to \infty} \prod_{r = 1}^{N} ∣ 2 sin π r φ ∣$

Sigrid Grepstad, Lisa Kaltenböck, Mario Neumüller

Nearly 60 years ago, Erdős and Szekeres raised the question of whether $N \to \infty lim inf r = 1 \prod N ∣ 2 sin π r α ∣ = 0$ for all irrationals $α$ . Despite its simp…

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…

A positive lower bound for liminfN→∞​∏r=1N​∣2sinπrφ∣

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

A positive lower bound for $lim inf_{N \to \infty} \prod_{r = 1}^{N} ∣ 2 sin π r φ ∣$