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Irrationality exponents of certain alternating series

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Publication:6624954
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DOI10.1007/S11139-024-00923-5MaRDI QIDQ6624954

Iekata Shiokawa

Publication date: 28 October 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)




zbMATH Keywords

irrationality measuretranscendencecontinued fractionirrationality exponent


Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Transcendence (general theory) (11J81) Irrationality; linear independence over a field (11J72)


Cites Work

  • Title not available (Why is that?)
  • Title not available (Why is that?)
  • A remark on an expansion of numbers which has some similarities with continued fractions
  • On a point in the theory of vulgar fractions.
  • Irrationality exponents of numbers related with Cahen's constant
  • Transcendence of numbers related with Cahen's constant
  • Rapid method for extracting a square root.
  • Continued fractions for some alternating series
  • Neverending Fractions
  • Rational approximations to algebraic numbers







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