Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines

preprint2006arXivOpen access

Abstract

This paper is a promenade around the product Pn(x):=sin⁡xsin⁡2xsin⁡4x...sin⁡2nx. P_n(x) := \sin x \sin 2x \sin 4x ... \sin 2^n x.

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