Can polylogarithms at algebraic points be linearly independent?

DOI10.2140/moscow.2020.9.389zbMath1459.11144arXiv1912.03811OpenAlexW3094995591MaRDI QIDQ2211270

Noriko Hirata-Kohno, Sinnou David, Makoto Kawashima

Publication date: 10 November 2020

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03811

zbMATH Keywords

Padé approximationpolylogarithmsirrationalitylinear independenceLerch function

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Diophantine inequalities (11D75) Polylogarithms and relations with (K)-theory (11G55) Hurwitz and Lerch zeta functions (11M35) Linear forms in logarithms; Baker's method (11J86) Irrationality; linear independence over a field (11J72) (p)-adic and power series fields (11D88)

Related Items (5)

Linear Forms in Polylogarithms ⋮ Linear independence criteria for generalized polylogarithms with distinct shifts ⋮ S-unit equation in two variables and Padé approximations ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Padé approximation for a class of hypergeometric functions and parametric geometry of numbers

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