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- W2786511908 abstract "We study the asymptotic behaviour of the sequence of sine products $P_n(alpha) = prod_{r=1}^n |2sin pi r alpha|$ for real quadratic irrationals $alpha$. In particular, we study the subsequence $Q_n(alpha)=prod_{r=1}^{q_n} |2sin pi r alpha|$, where $q_n$ is the $n$th best approximation denominator of $alpha$, and show that this subsequence converges to a periodic sequence whose period equals that of the continued fraction expansion of $alpha$. This verifies a conjecture recently posed by Mestel and Verschueren." @default.
- W2786511908 created "2018-02-23" @default.
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- W2786511908 date "2018-01-29" @default.
- W2786511908 modified "2023-09-27" @default.
- W2786511908 title "Asymptotic behaviour of the Sudler product of sines for quadratic irrationals" @default.
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