Transcendental Infinite Products Associated with the $\pm 1$ Thue-Morse Sequence
Number Theory
2020-09-07 v1
Abstract
Infinite products associated with the Thue-Morse sequence whose value is rational or algebraic irrational have been studied by several authors. In this short note we prove three new infinite product identities involving , , and the Thue-Morse sequence, building on a result by Allouche, Riasat, and Shallit. We then use our method to find a new expression for a product appearing within the context of the Flajolet-Martin constant.
Keywords
Cite
@article{arxiv.2009.02025,
title = {Transcendental Infinite Products Associated with the $\pm 1$ Thue-Morse Sequence},
author = {László Tóth},
journal= {arXiv preprint arXiv:2009.02025},
year = {2020}
}