Transcendental Infinite Products Associated with the ±1 Thue-Morse Sequence
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Grand Duchy of Luxembourg
Infinite products associated with the ±1 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 π, √2, and the ±1 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
Full version: pdf,
(Concerned with sequences
Received June 25 2020; revised version received August 28 2020.
Published in Journal of Integer Sequences,
August 28 2020.
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