On the Diophantine 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:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>n</mml:mi><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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On the Diophantine equation 2m+nx2=yn

Published:2012-11 Issue:11 Volume:132 Page:2604-2609
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Luca Florian,Soydan Gökhan

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference9 articles.

1. On the Diophantine equation px2+q2m=yp;Abu Muriefah;J. Number Theory,2008

2. On the Diophantine equation x2+C=2yn;Abu Muriefah;Int. J. Number Theory,2009

3. Existence of primitive divisors of Lucas and Lehmer numbers;Bilu;J. Reine Angew. Math.,2001

4. The Magma algebra system I. The user language;Bosma;J. Symbolic Comput.,1997

5. Introduction to Number Theory;Hua,1982

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1. An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory;International Journal of Mathematics and Mathematical Sciences;2024-01

2. A method for finding numerical solutions to Diophantine equations using Spiral Optimization Algorithm with Clustering (SOAC);Applied Soft Computing;2023-09

3. On the Solutions of the Diophantine Equation $p^x +(p+4k)^y=z^2$ for Prime Pairs $p$ and $p+4k$;European Journal of Pure and Applied Mathematics;2021-05-18

4. On the Diophantine Equation $$cx^2+p^{2m}=4y^n$$;Results in Mathematics;2021-03-11

5. On the Diophantine equationNX2+2L3M=YN;Journal of Number Theory;2014-08

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