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New bounds on the length of finite pierce and Engel series

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Publication:3348961
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DOI10.5802/jtnb.41zbMath0727.11003OpenAlexW2313589666WikidataQ61645822 ScholiaQ61645822MaRDI QIDQ3348961

Paul Erdős, Jeffrey O. Shallit

Publication date: 1991

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1991__3_1_43_0


zbMATH Keywords

rational numbersalternating Engel serieslength of Engel series expansionsPierce expansions


Mathematics Subject Classification ID

Other number representations (11A67)


Related Items (5)

SEL Egyptian fraction expansion and characterizations of rational numbers ⋮ On the error-sum function of pierce expansions ⋮ Interview with Jeffrey Shallit ⋮ Continued fractions for strong Engel series and Lüroth series with signs ⋮ Large and moderate deviation principles for alternating Engel expansions



Cites Work

  • The metric theory of the Ostrogradskii algorithm
  • Approximate formulas for some functions of prime numbers
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