Egyptian Fractions, Nonstandard Extensions of $$\mathbb R$$, and Some Diophantine Equations Without Many Solutions

DOI10.1007/978-3-030-31106-3_15zbMath1477.11063OpenAlexW2996379417MaRDI QIDQ3296101

David A. Ross

Publication date: 3 July 2020

Published in: Combinatorial and Additive Number Theory III (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31106-3_15

zbMATH Keywords

nonstandard analysisEgyptian fractionsnon-Archimedean ordered field

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Rational numbers as sums of fractions (11D68) Representation problems (11D85) Non-Archimedean analysis (26E30)

Cites Work

• Weighted real Egyptian numbers
• CYCLIC SYSTEMS OF SIMULTANEOUS CONGRUENCES
• On Finite Sums of Unit Fractions
• Unnamed Item
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