Generalizations of classical results on Jeśmanowiczʼ conjecture concerning Pythagorean triples-Reference-Cited by-同舟云学术

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Generalizations of classical results on Jeśmanowiczʼ conjecture concerning Pythagorean triples

Published:2013-02 Issue:2 Volume:133 Page:583-595
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Miyazaki Takafumi

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference28 articles.

1. On some exponential equations of S.S. Pillai;Bennett;Canad. J. Math.,2001

2. The equation x+y=l in finitely generated groups;Beukers;Acta Arith.,1996

3. On a conjecture on exponential Diophantine equations;Cipu;Acta Arith.,2009

4. Number Theory, vol. II: Analytic and Modern Tools;Cohen,2007

5. On Jeśmanowiczʼ problem for Pythagorean numbers;Demʼjanenko;Izv. Vyssh. Uchebn. Zaved. Mat.,1965

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1. On the conjecture of Je$ \acute{\textbf{s}} $manowicz;AIMS Mathematics;2023

2. An application of $ p $-adic Baker method to a special case of Jeśmanowicz' conjecture;AIMS Mathematics;2023

3. On exponential Diophantine equations concerning Pythagorean triples;Publicationes Mathematicae Debrecen;2022-07-01

4. On the exponential Diophantine equation $ \left(\frac{q^{2l}-p^{2k}}{2}n\right)^x+(p^kq^ln)^y = \left(\frac{q^{2l}+p^{2k}}{2}n\right)^z $;AIMS Mathematics;2022

5. On the exponential Diophantine equation mx +(m+1) y =(1+m+m 2) z;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2021-11-01

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