Linear independence of vectors with polylogarithmic coordinates

zbMath0983.11044MaRDI QIDQ1596187

Tatiana Hessami Pilehrood

Publication date: 7 February 2001

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

linear independencejoint approximations of values of polylogarithmic functionslinear approximating formsvectors with polylogarithmic coordinates

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Transcendence theory of other special functions (11J91) Irrationality; linear independence over a field (11J72)

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Irrationality of certain numbers that contain values of the di- and trilogarithm, Riemann \(\mathfrak P\)-scheme, monodromy and Diophantine approximations, Construction of Approximations to Zeta-Values, Integral identities and constructions of approximations to zeta-values, Arithmetic of linear forms involving odd zeta values, Nesterenko's linear independence criterion for vectors