Sigrid Grepstad

activity

20162019

collaborators

3 papers

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…

math.CA2016

Spectra for cubes in products of finite cyclic groups

Elona Agora, Sigrid Grepstad, Mihail N. Kolountzakis

We consider "cubes" in products of finite cyclic groups and we study their tiling and spectral properties. (A set in a finite group is called a tile if some of its translates form…

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

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

Spectra for cubes in products of finite cyclic groups

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