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Proof of Masser's conjecture on the algebraic independence of values of Liouville series

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Publication:1089035
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DOI10.3792/pjaa.62.219zbMath0618.10032OpenAlexW2030563625WikidataQ123005498 ScholiaQ123005498MaRDI QIDQ1089035

Kumiko Nishioka

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.219


zbMATH Keywords

algebraic independenceLiouville series


Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Algebraic independence; Gel'fond's method (11J85)


Related Items (4)

Evertse theorem in algebraic independence ⋮ Unnamed Item ⋮ Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences ⋮ Algebraic independence by approximation method




Cites Work

  • Unnamed Item
  • Algebraic independence of certain power series of algebraic numbers
  • Algebraic independence of three Liouville series




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