A note on the exponential Diophantine equation \((44m^2+1)^x+(5m^2-1)^y=(7m)^z\)

zbMATH Open1543.11034MaRDI QIDQ6546707

Elchin Hasanalizade

Publication date: 30 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

exponential Diophantine equationsBaker's methodlinear forms in complex and \(p\)-adic logarithms

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On the exponential Diophantine equation \((am^2 + 1)^x + (bm^2 - 1)^y= (cm)^z\) with \(c \mid m\)
• A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\)
• The complete solution of the Diophantine equation \((4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z\)
• Linear forms in two logarithms and interpolation determinants II
• Linear forms in p-adic logarithms and the Diophantine equation formula here
• On the exponential Diophantine equation (18m2 + 1)x + (7m2 -1)y = (5m)z
• On the exponential Diophantine equation (4m²+1)ˣ + (21m²-1)ʸ = (5m)ᶻ

This page was built for publication: A note on the exponential Diophantine equation \((44m^2+1)^x+(5m^2-1)^y=(7m)^z\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6546707)