A note on trace of powers of algebraic numbers

DOI10.1016/j.jnt.2020.09.016zbMath1456.11132OpenAlexW3094632114WikidataQ114157167 ScholiaQ114157167MaRDI QIDQ2212628

Purusottam Rath, Patrice Philippon

Publication date: 24 November 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.09.016

zbMATH Keywords

tracesubspace theoremSkolem-Mahler-Lech theorem

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Schmidt Subspace Theorem and applications (11J87)

Cites Work

• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• Algebraic numbers with integral power traces
• A Skolem-Mahler-Lech theorem in positive characteristic and finite automata
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