Sinnou David

most citedGeneralized hypergeometric

G

-functions take linear independent values

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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…

Linear independence of values of hypergeometric functions and arithmetic Gevrey series

Generalized hypergeometric G-functions take linear independent values

Generalized hypergeometric $G$ -functions take linear independent values