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Recent Progress about the Conjecture of Erdös-Straus

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Abstract:

In this paper we present our recent progress about the conjecture of Erdös-Straus by using Diophantine equations and the irreducible twin Pythagorean triples of the first type.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 2)
Pages:
5-9
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.2.5
Citation:
I. Gueye and M. Mizony, "Recent Progress about the Conjecture of Erdös-Straus", The Bulletin of Society for Mathematical Services and Standards, Vol. 2, pp. 5-9, 2012
Online since:
Jun 2012
Authors:
Ibrahima Gueye, Michel Mizony
Keywords:
Conjecture of Erdös and Straus, Diophantine Equations, Twin Pythagorean Triples
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Bruce Schechter, My Brain Is Open : The Mathematical Journeys of Paul Erdos, 1998, p.155.

Michel Mizony, « Sur la conjecture d'Erdös et Straus », dans Séminaire de Théorie des Nombres et Combinatoire de l'Université Lyon 1, Vaulx-en-Velin, novembre (2009).

Paul Hoffman , Paul Erdös : 1913-1996 : l'homme qui n'aimait que les nombres , Éditions Belin, 2000 (ISBN 2-7011-2539-1).

http: /mathworld. wolfram. com/PythagoreanTriple. html.

http: /mathworld. wolfram. com/TwinPythagoreanTriple. html.

http: /math. univ-lyon1. fr/~mizony/fregErdosdiap. pdf.

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