Sinnou David

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20192025

most citedCan polylogarithms at algebraic points be linearly independent?

5 citations · 7 across the 5 of their papers we have counts for

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math.NT2022★ 2 cited

Generalized hypergeometric $G$ -functions take linear independent values

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

In this article, we show a new general linear independence criterion related to values of $G$ -functions, including the linear independence of values at algebraic points of contiguo…

math.NT2022

Linear independence criteria for generalized polylogarithms with distinct shifts

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

For a given rational number $x$ and an integer $s \geq 1$ , let us consider a generalized polylogarithmic function, often called the Lerch function, defined by $$Φ_{s}(x,z)= \sum_{k=…

Generalized hypergeometric G-functions take linear independent values

Linear independence criteria for generalized polylogarithms with distinct shifts

Generalized hypergeometric $G$ -functions take linear independent values