Sinnou David

activity

20192025

most citedCan polylogarithms at algebraic points be linearly independent?

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

collaborators

5 papers

math.NT2025

Linear independence of values of hypergeometric functions and arithmetic Gevrey series

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

We prove new linear independence results for the values of generalized hypergeometric functions $_{p} F_{q}$ at several distinct algebraic points, over suitable algebraic number field…

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=…

math.NT2020

Linear Forms in Polylogarithms

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

Let $r, m$ be positive integers. Let $x$ be a rational number with $0 \leq x < 1$ . Consider $Φ_{s} (x, z) = k = 0 \sum \infty \frac{z ^{k + 1}}{( k + x + 1 ) ^{s}}$ the $s$ -th Lerch…

math.NT2019★ 5 cited

Can polylogarithms at algebraic points be linearly independent?

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

Let $r, m$ be positive integers. Let $0 \leq x < 1$ be a rational number. Let $Φ_{s} (x, z)$ be the $s$ -th Lerch function $\sum_{k = 0}^{\infty} \frac{z ^{k + 1}}{( k + x + 1 ) ^{s}}$ with $s=1,2,\ldots…

Linear independence of values of hypergeometric functions and arithmetic Gevrey series

Generalized hypergeometric G-functions take linear independent values

Linear independence criteria for generalized polylogarithms with distinct shifts

Linear Forms in Polylogarithms

Can polylogarithms at algebraic points be linearly independent?

Generalized hypergeometric $G$ -functions take linear independent values