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Transcendence of numbers related with Cahen's constant

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Publication:2420485
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DOI10.2140/moscow.2019.8.57zbMath1448.11139OpenAlexW2885716195WikidataQ129365270 ScholiaQ129365270MaRDI QIDQ2420485

Iekata Shiokawa, Takeshi Kurosawa, Daniel Duverney

Publication date: 6 June 2019

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

Full work available at URL: https://projecteuclid.org/euclid.moscow/1543854869


zbMATH Keywords

transcendenceMahler's methodSylvester's sequenceCahen's constant


Mathematics Subject Classification ID

Transcendence (general theory) (11J81)


Related Items (2)

Irrationality exponents of generalized Hone series ⋮ Irrationality exponents of certain fast converging series of rational numbers



Cites Work

  • Transcendence of reciprocal sums of binary recurrences
  • Algebraic independence of the values of certain series by Mahler's method
  • Algebraic independence criteria.
  • Transcendence of certain reciprocal sums of linear recurrences
  • Continued fractions for some alternating series
  • Transcendence of a fast converging series of rational numbers


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