On arithmetic properties of the convergents of Euler's number

DOI10.4064/cm-79-1-133-145zbMath0930.11048OpenAlexW1005697488MaRDI QIDQ4238652

Carsten Elsner

Publication date: 31 May 1999

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210621

zbMATH Keywords

congruencesrecurrencecontinued fraction expansionperiodic sequenceperiod lengtharithmetic propertiesconvergentsbest rational approximationsEuler's number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Sequences (mod (m)) (11B50) Homogeneous approximation to one number (11J04)

Related Items (7)

On Error Sum Functions for Approximations with Arithmetic Conditions ⋮ On convergents of certain values of hyperbolic functions formed from Diophantine equations ⋮ On the residue classes of integer sequences satisfying a linear three term recurrence formula ⋮ Approximation of values of hypergeometric functions by restricted rationals ⋮ A recurrence formula for leaping convergents of non-regular continued fractions ⋮ Shrinking the period length of quasi-periodic continued fractions ⋮ Linear fractional transformations and nonlinear leaping convergents of some continued fractions

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