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20192026
most citedContinuants and convergence of certain continued fractions

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2020

Algebraic independence of certain infinite products involving the Fibonacci numbers

Daniel Duverney, Yohei Tachiya

Let be the sequence of the Fibonacci numbers. The aim of this paper is to give explicit formulae for the infinite products \[ \prod_{n=1}^{\infty}\left( 1+\fra…

math.NT2020

Irrationality exponents of generalized Hone series

Daniel Duverney, Takeshi Kurosawa, Iekata Shiokawa

We compute the exact irrationality exponents of certain series of rational numbers, first studied in a special case by Hone, by transforming them into suitable continued fractions.