Groupoid Cardinality and Egyptian Fractions

DOI10.4169/college.math.j.46.2.122zbMath1406.97029OpenAlexW2605905858MaRDI QIDQ4581495

Julia E. Bergner, Christopher D. Walker

Publication date: 20 August 2018

Published in: The College Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/college.math.j.46.2.122

Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68) Sets with a single binary operation (groupoids) (20N02) Number theory (educational aspects) (97F60) Groups, rings, fields (educational aspects) (97H40)

Cites Work

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• Fibonacci's \textit{Liber abaci}. A translation into modern English of Leonardo Pisano's \textit{Book of calculation}. Transl. from the Latin and with an introduction, notes and bibliography by L. E. Sigler
• The splitting algorithm for Egyptian fractions
• On number of integers representable as a sum of unit fractions. II
• Binary Egyptian fractions
• A new algorithm for the expansion of Egyptian fractions
• A Proof of a Conjecture on Egyptian Fractions
• On unit fractions with denominators in short intervals
• Dense Egyptian fractions
• On some questions of Erdős and Graham about Egyptian fractions
• Higher-Dimensional Algebra VII: Groupoidification
• On a problem of Erdös, Straus and Schinzel
• Egyptian Fraction Expansions
• Denominators of Egyptian fractions

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