A note on the article by F. Luca ``On the system of Diophantine equations a2+b2=(m2+1)rand ax+by=(m2+1)z (Acta Arith. 153 (2012), 373–392)

DOI10.4064/aa164-1-3zbMath1300.11027OpenAlexW2330855311MaRDI QIDQ5420355

Takafumi Miyazaki

Publication date: 12 June 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa164-1-3

zbMATH Keywords

exponential Diophantine equationlinear forms in logarithms of algebraic numbers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

On the exponential Diophantine equation \((am^2 + 1)^x + (bm^2 - 1)^y= (cm)^z\) with \(c \mid m\) ⋮ On the system of Diophantine equations \((m^2 - 1)^r + b^2 = c^2\) and \((m^2 - 1)^x + b^y = c^z\)

This page was built for publication: A note on the article by F. Luca ``On the system of Diophantine equations a²+b²=(m²+1)^rand a^x+b^y=(m²+1)^z (Acta Arith. 153 (2012), 373–392)