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

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On the Diophantine equation nx2+22m=yn

Published:2011-08 Issue:8 Volume:131 Page:1486-1491
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Wang Yongxing,Wang Tingting

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference8 articles.

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

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

3. On the generalized Ramanujan–Nagell equation x2+D=pz;Heuberger;J. Number Theory,1999

4. Introduction to Number Theory;Hua,1982

5. On Cohnʼs conjecture concerning the Diophantine equation x2+2m=yn;Le;Arch. Math. (Basel),2002

Cited by 6 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 the Diophantine Equation $$cx^2+p^{2m}=4y^n$$;Results in Mathematics;2021-03-11

2. An upper bound for least solutions of the exponential Diophantine equation D1x2 - D2y2 = λkz;International Journal of Number Theory;2015-04-29

3. Iterated maps with exponential slopes for nonlinear dynamics generation;2014 International Conference on Applied Electronics;2014-09

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

5. Note on “On the Diophantine equationnx2+22m=yn” [Y. Wang, T. Wang, J. Number Theory 131 (8) (2011) 1486–1491];Journal of Number Theory;2014-07

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