Diophantine approximation and the equation (a2cxk−1)(b2cyk−1)=(abczk−1)2-Reference-Cited by-同舟云学术

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Diophantine approximation and the equation (a2cxk−1)(b2cyk−1)=(abczk−1)2

Published:2015-09 Issue: Volume:154 Page:74-81
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Goedhart Eva G.^ORCID,Grundman Helen G.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference5 articles.

1. The Diophantine equation (xk−1)(yk−1)=(zk−1)t;Bennett;Indag. Math. (N.S.),2007

2. Explicit lower bounds for rational approximation to algebraic numbers;Bennett;Proc. Lond. Math. Soc. (3),1997

3. On the Diophantine equation (xk−1)(yk−1)=(zk−1);Bugeaud;Indag. Math. (N.S.),2004

4. On a problem of Diophantus for higher powers;Bugeaud;Math. Proc. Cambridge Philos. Soc.,2003

5. The Diophantine equation (axk−1)(byk−1)=abzk−1;Zhang;J. Number Theory,2014

Cited by 2 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. Nonlinearity In Similar Structures: On (3a−1)(3b−1) = (5c−1)(5d−1), And gu=fv.;SSRN Electronic Journal;2020

2. An elementary proof that real roots nonexistence of nonlinear equations and its optimal solutions;MATEC Web of Conferences;2018

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