The equation <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>9</mml:mn></mml:msubsup><mml:mfrac><mml:mn>1</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> in distinct odd integers has only the five known solutions-Reference-Cited by-同舟云学术

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The equation ∑i=191xi=1 in distinct odd integers has only the five known solutions

Published:2007-11 Issue:1 Volume:127 Page:136-144
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Burshtein Nechemia

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference5 articles.

1. On distinct unit fractions whose sum equals 1;Burshtein;Discrete Math.,1973

2. N. Burshtein, All the solutions of the equation ∑i=1111xi=1 in distinct integers of the form xi∈3α5β7γ, Discrete Math., in press

3. Unsolved Problems in Number Theory;Guy,1981

4. Sur les décompositions de nombres rationnels en fractions primaires;Sierpiński;Mathesis,1956

5. C. Rivera, J. Ayala, The prime puzzles & problems connection, http://www.primepuzzles.net/

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On arithmetical structures on complete graphs;Involve, a Journal of Mathematics;2020-03-30

2. On the number of solutions of∑i=1111xi=1in distinct odd natural numbers;Journal of Number Theory;2013-06

3. Egyptian fractions with restrictions;Acta Arithmetica;2012

4. All the solutions of the equation ∑i=1111xi=1 in distinct integers of the form xi∈3α5β7γ;Discrete Mathematics;2008-09

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