A note on the exponential Diophantine equation (4m2+1)x+(5m2-1)y=(3m)z

DOI10.4064/CM139-1-7zbMath1364.11087OpenAlexW2582819026MaRDI QIDQ4983470

Wen Peng Zhang, Jian-ping Wang, Ting-Ting Wang

Publication date: 26 March 2015

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm139-1-7

zbMATH Keywords

exponential Diophantine equationgeneralized Ramanujan-Nagell equationspositive integer solution

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

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A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$ ⋮ On the exponential Diophantine equation \((am^2 + 1)^x + (bm^2 - 1)^y= (cm)^z\) with \(c \mid m\) ⋮ On the Diophantine equation $(5pn^{2}-1)^{x}+(p(p-5)n^{2}+1)^{y}=(pn)^{z}$ ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\)

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