Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: More Infinite Products: Thue-Morse and the Gamma function   Letting $(t_n)$ denote the Thue-Morse sequence with values $0, 1$, we note
that the Woods-Robbins product $$ \prod_{n \geq 0}
\left(\frac{2n+1}{2n+2}\right)^{(-1)^{t_n}} = 2^{-1/2} $$ involves a rational
function in $n$ and the $\pm 1$ Thue-Morse sequence $((-1)^{t_n})_{n \geq 0}$.
The purpose of this paper is twofold. On the one hand, we try to find other
rational functions for which similar infinite products involving the $\pm 1$
Thue-Morse sequence have an expression in terms of known constants. On the
other hand, we also try to find (possibly different) rational functions $R$ for
which the infinite product $\prod R(n)^{t_n}$ also has an expression in terms
of known constants.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph