An Analytic Approach of some Conjectures Related to Diophantine Equations

Ghanouchi, Jamel

doi:10.18052/www.scipress.com/BMSA.1.29

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An Analytic Approach of some Conjectures Related to Diophantine Equations

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Abstract:

Our purpose in this paper is to show how much diophantine equations are rich in analytic applications. Effectively, those equations allow to build sequences, series and numbers. The question of the analytic proof of some theorems remains of course, we will see it in this communication. We will make also an allusion to the Fermat numbers (x²ⁱ) and will see how this problem of the proof is actual and how it can be solved using the sequences and series.

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 1)

Pages:

29-40

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.1.29

Citation:

J. Ghanouchi, "An Analytic Approach of some Conjectures Related to Diophantine Equations", Bulletin of Mathematical Sciences and Applications, Vol. 1, pp. 29-40, 2012

Online since:

August 2012

Authors:

Jamel Ghanouchi

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Distribution:

Open Access

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

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Cited By:

[1] M. Gionfriddo, E. Guardo, "A short proof of Erdös–Straus conjecture for every n ≡ 13 mod 24", Journal of Interdisciplinary Mathematics, p. 1, 2021

DOI: https://doi.org/10.1080/09720502.2021.1907018

[2] M. Gionfriddo, E. Guardo, "A short proof of Erdös–Straus conjecture for every n ≡ 13 mod 24", Journal of Interdisciplinary Mathematics, Vol. 24, p. 2307, 2021

DOI: https://doi.org/10.1080/09720502.2021.1907018