Sigrid Grepstad

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20162019

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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 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 $\prod_{r = 1}^{n} ∣2 sin (π r α) ∣$