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 $P_n(\alpha )={\prod }_{r=1}^n|2\sin \pi r\alpha |$ for real quadratic irrationals $\alpha$. In particular, we study the subsequence…