Irrationality exponents of numbers related with Cahen's constant

DOI10.1007/s00605-019-01335-0zbMath1436.11085OpenAlexW2980439856WikidataQ126992842 ScholiaQ126992842MaRDI QIDQ2287880

Iekata Shiokawa, Daniel Duverney

Publication date: 22 January 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-019-01335-0

zbMATH Keywords

irrationality measure exponentSylvester sequencegeneralized continued fractionsCahen's constantSierpinski sequence

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Measures of irrationality and of transcendence (11J82)

Related Items (3)

Irrationality exponents of generalized Hone series ⋮ Irrationality exponents of certain fast converging series of rational numbers ⋮ Continued fractions for strong Engel series and Lüroth series with signs

Cites Work

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• Algebraic independence of the values of certain series by Mahler's method
• On the rational approximation of the sum of the reciprocals of the Fermat numbers
• On irrationality exponents of generalized continued fractions
• Continued fractions for some alternating series
• Rational approximations to algebraic numbers

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