An Analytic Approach of some Conjectures Related to Diophantine Equations
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
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:
Distribution:
Open Access
This work is licensed under a
Creative Commons Attribution 4.0 International License
References:
This article has no references.
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