A NOTE ON THE TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATION fx+(f+g)y=gz-Reference-Cited by-同舟云学术

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A NOTE ON THE TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATION fx+(f+g)y=gz

Published:2023-07-01 Issue:1 Volume:47 Page:
ISSN:0387-4982
Container-title:Tsukuba Journal of Mathematics
language:
Short-container-title:Tsukuba J. Math.

Author:

Fujita Yasutsugu,Le Maohua,Terai Nobuhiro

Publisher

Institute of Mathematics, University of Tsukuba

Subject

General Medicine

Reference12 articles.

1. [1] Bennett, M. A. and Skinner, C. M., Ternary Diophantine equations via Galois representations and modular forms, Canad. J. Math. 56 (2004), 23–54.

2. [2] Bugeaud, Y., Linear forms in $p$ -adic logarithms and the Diophantine equation $(x^n - 1)/(x - 1) = y^q$ , Math. Proc. Camb. Philos. Soc. 127 (1999), 373–381.

3. [3] Bugeaud, Y., Linear forms in two $m$ -adic logarithms and applications to Diophantine problems, Compos. Math. 132 (2002), 137–158.

4. [4] Cohn, J. H. E., The Diophantine equation $x^2 + 2^k = y^n$ , Arch. Math. Basel 59 (1992), 341–344.

5. [5] Hu, Y.-Z. and Le, M.-H., A note on ternary purely exponential Diophantine equations, Acta Arith. 171 (2015), 173–182.

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