Egyptian Fractions
Thomas F. Bloom, Christian Elsholtz
TL;DR
This survey reviews various questions and recent progress related to Egyptian fractions, which express any rational number as a sum of distinct unit fractions.
Contribution
It compiles and discusses recent advances and open problems in the study of Egyptian fraction decompositions.
Findings
Summary of recent progress in Egyptian fractions
Discussion of open problems and questions
Overview of methods used in recent research
Abstract
Any rational number can be written as the sum of distinct unit fractions. In this survey paper we review some of the many interesting questions concerning such 'Egyptian fraction' decompositions, and recent progress concerning them.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematics and Applications · Analytic Number Theory Research