Algebraic independence of the values of power series with unbounded coefficients

DOI10.4310/ARKIV.2017.V55.N1.A3zbMath1432.11098OpenAlexW2758031014MaRDI QIDQ1688611

Kaneko Hajime

Publication date: 9 January 2018

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/arkiv.2017.v55.n1.a3

zbMATH Keywords

Pisot numbersSalem numbersalgebraic independence

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Diophantine approximation in probabilistic number theory (11K60)

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Algebraic independence of the values of certain series and their derivatives involving the Hecke-Mahler series ⋮ Minimal varieties of associative algebras and transcendental series

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