On the asymptotic behaviour of the sine product ${\prod }_{r=1}^n|2\sin (\pi r\alpha )|$

Sigrid Grepstad, Lisa Kaltenböck, Mario Neumüller

In this paper we review recently established results on the asymptotic behaviour of the trigonometric product $P_n(\alpha )={\prod }_{r=1}^n|2\sin \pi r\alpha |$ as $n\to \infty$. We focus on ir…