A note on linear independence of polylogarithms over the rationals

DOI10.3792/pjaa.88.156zbMath1286.11108OpenAlexW2007622316MaRDI QIDQ1949181

Hironori Okada, Noriko Hirata-Kohno

Publication date: 25 April 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1352210378

zbMATH Keywords

Padé approximationpolylogarithmsirrationalitylinear independence

Mathematics Subject Classification ID

Padé approximation (41A21) Polylogarithms and relations with (K)-theory (11G55) Irrationality; linear independence over a field (11J72)

Cites Work

• Linear independence of values of polylogarithms
• On the linear independence of the values of polylogarithmic functions
• A refinement of Nesterenko's linear independence criterion with applications to zeta values
• Approximate formulas for some functions of prime numbers
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