On the exponential Diophantine equation (3m2+1)x+(qm2−1)y=(rm)z-Reference-Cited by-同舟云学术

On the exponential Diophantine equation (3m2+1)x+(qm2−1)y=(rm)z

Published:2020-12-01 Issue:2 Volume:56 Page:
ISSN:0916-5746
Container-title:SUT Journal of Mathematics
language:
Short-container-title:SUT J. Math.

Author:

Terai Nobuhiro¹,Shinsho Yoshiki²

Affiliation:

1. Division of Mathematical Sciences Department of Integrated Science and Technology Faculty of Science and Technology, Oita University 700 Dannoharu, Oita 870–1192, Japan

2. Faculty of Business, Marketing and Distribution, Nakamura Gakuen University 5–7–1 Befu, Jonanku, Fukuoka 814–0198, Japan

Publisher

SUT Journal of Mathematics - Tokyo University of Science

Subject

General Mathematics

Reference32 articles.

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2. [Ber] Cs. Bertók, The complete solution of the Diophantine equation $(4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z$ , Period. Math. Hung. 72(2016). 37–42.

3. [BH] Cs. Bertók and L. Hajdu, A Hasse-type principle for exponential Diophantine equations and its applications, Math. Comp. 85(2016), 849–860.

4. [BC] W. Bosma and J. Cannon, Handbook of magma functions, Department of Math., University of Sydney; http://magma.maths.usyd.edu.au/magma/.

5. [BHV] Yu. Bilu, G. Hanrot, and P. M. Voutier, Existence of primitive divisors of Lucas and Lehmer numbers, Journal für die Reine und Angewandte Mathematik 539(2001), 75–122.

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