UNIT FRACTIONS AND THE ERDÖS-STRAUS CONJECTURE

Authors

  • Anthony G Shannon

DOI:

https://doi.org/10.24297/jam.v12i6.3848

Keywords:

Arithmetic, geometric and harmonic means, ceiling and floor functions, conjectures, continued fractions, Egyptian fractions, Fibonacci numbers, greedy algorithms, symmetric functions, unit fractions.

Abstract

This note considers some aspects of finite sums of unit fractions, including associated recurrence relations and conjectures in the context of experimental mathematics. Unit fractions provide a unifying theme.

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Published

2016-06-24

How to Cite

Shannon, A. G. (2016). UNIT FRACTIONS AND THE ERDÖS-STRAUS CONJECTURE. JOURNAL OF ADVANCES IN MATHEMATICS, 12(6), 6295–6303. https://doi.org/10.24297/jam.v12i6.3848

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Section

Articles