Evaluation of the dimension of the \(\mathbb Q\)-vector space spanned by the special values of the Lerch function

DOI10.21099/tkbjm/1429103719zbMath1323.11052OpenAlexW1896479515MaRDI QIDQ2340433

Makoto Kawashima

Publication date: 17 April 2015

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1429103719

zbMATH Keywords

Padé approximationlinear independence over rational numbers, Lerch zeta function

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Hurwitz and Lerch zeta functions (11M35) Irrationality; linear independence over a field (11J72)

Related Items (3)

Linear Forms in Polylogarithms ⋮ A lower bound of the dimension of the vector space spanned by the special values of certain functions ⋮ Can polylogarithms at algebraic points be linearly independent?

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