Egyptian fractions of bounded length

DOI10.1007/s40993-023-00504-3OpenAlexW4391102473WikidataQ129649818 ScholiaQ129649818MaRDI QIDQ6148982

Noah Lebowitz-Lockard

Publication date: 8 February 2024

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-023-00504-3

zbMATH Keywords

upper boundsEgyptian fractionsternary representations

Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68) Factorization (11Y05)

Cites Work

• The number of representations of rationals as a sum of unit fractions
• Mean value theorems for binary Egyptian fractions
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• Binary Egyptian fractions
• Ternary Egyptian fractions with prime denominator
• On ternary Egyptian fractions with prime denominator
• Divisors in Residue Classes
• The number of solutions of the Erdős-Straus Equation and sums ofkunit fractions
• Sums of four and more unit fractions and approximate parametrizations
• On Egyptian fractions of length 3
• Divisors in residue classes, constructively
• Unsolved problems in number theory

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