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Status: Supported ×Keyword: Hurwitz zeta function ×Clear all

1 claim from 1 paper

1. Mathematics › Advanced Mathematical Identities

   Continued Fractions and Irrationality Measures for Chowla--Selberg Gamma Quotients

   Cohen and Zudilin · arXiv (Cornell University) · 2025

   The paper gives 39 rapidly convergent continued fractions for Chowla–Selberg gamma quotients and uses them to obtain irrationality measures for 20, which it says appear to be the first of their kind.

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   1. Supported · 71%The authors give 39 fast-converging continued fractions for Chowla–Selberg gamma quotients and derive irrationality measures for 20 of them.“We give 39 rapidly convergent continued fractions for Chowla--Selberg gamma quotients, and deduce good irrationality measures for 20 of them, including for $\operatorname{CS}(-3)=(Γ(1/3)/Γ(2/3))^3$, for $a^{1/4}\operatorname{CS}(-4)=a^{1/4}(Γ(1/4)/Γ(3/4))^2$ with $a=12$ and $a=1/5$, and for $\opera…”