On the Terai-Jésmanowicz conjecture

DOI10.1007/s10114-008-6052-4zbMath1234.11035OpenAlexW1985392833WikidataQ122900876 ScholiaQ122900876MaRDI QIDQ960638

Pingzhi Yuan, Jianye Xia

Publication date: 5 January 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6052-4

zbMATH Keywords

exponential Diophantine equationsLucas sequencesTerai-Jésmanowicz conjecture

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The diophantine equation \(a^ x+b^ y=c^ z\)
• A note on the diophantine equation \((m^3-3m)^x+(3m^2-1)^y=(m^2+1)^z\)
• The diophantine equation \(a^ x +b^ y= c^ z\). II
• A conjecture concerning the pure exponential Diophantine equation \(a^x+b^y= c^z\)
• An application of a lower bound for linear forms in two logarithms to the Terai–Jeśmanowicz conjecture
• A conjecture concerning the exponential diophantine equation a^x+b^y=c^z
• Applications of a lower bound for linear forms in two logarithms to exponential Diophantine equations
• A note on the Diophantine equation $a^x + b^y = c^z$

This page was built for publication: On the Terai-Jésmanowicz conjecture