On the diophantine equation x 2 + 2a · 3b · 11c = y n-Reference-Cited by-同舟云学术

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On the diophantine equation x 2 + 2a · 3b · 11c = y n

Published:2013-06-01 Issue:3 Volume:63 Page:647-659
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Cangül İsmaıl¹,Demırcı Musa¹,İnam İlker¹,Luca Florian²,Soydan Gökhan¹

Affiliation:

1. Department of Mathematics, Uludağ University, 16059, Bursa, Turkey

2. Fundación Marcos Moshinsky, UNAM, Circuito Exterior, C.U., Apdo. Postal 70-543, Mexico D.F., 04510, Mexico

Abstract

Abstract In this note, we find all the solutions of the Diophantine equation x 2 + 2a · 3b · 11c = y n, in nonnegative integers a, b, c, x, y, n ≥ 3 with x and y coprime.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s12175-013-0125-2.pdf

Cited by 9 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 $x^2+2^a3^b73^c=y^n $;Archivum Mathematicum;2023

2. On the Diophantine equation $$x^2+C=y^n$$;Indian Journal of Pure and Applied Mathematics;2022-11-17

3. On the Diophantine equation $$\varvec{x^2+b^m=c^n}$$ with $$\varvec{a^2+b^4=c^2}$$;Indian Journal of Pure and Applied Mathematics;2021-08-02

4. SOLUTIONS TO A LEBESGUE–NAGELL EQUATION;Bulletin of the Australian Mathematical Society;2021-05-24

5. On the solutions of certain Lebesgue–Ramanujan–Nagell equations;Rocky Mountain Journal of Mathematics;2021-04-01

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