Linear independence of polylogarithms at algebraic points

zbMath1373.11055MaRDI QIDQ2404846

Raffaele Marcovecchio

Publication date: 20 September 2017

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

Full work available at URL: http://mjcnt.phystech.edu/en/article.php?id=105

zbMATH Keywords

irrationality measurelinear independence measurespolylogarithmic functions

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72) Higher logarithm functions (33B30)

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Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\) ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion

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