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A note on the ternary purely exponential diophantine equation Ax + By = Cz with A + B = C2

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Publication:5141163
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DOI10.1556/012.2020.57.2.1457zbMath1463.11106arXiv2003.10252OpenAlexW3080900014WikidataQ115513719 ScholiaQ115513719MaRDI QIDQ5141163

Elif Kizildere, Maohua Le, Gökhan Soydan

Publication date: 18 December 2020

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10252


zbMATH Keywords

ternary purely exponential Diophantine equationBHV theorem on the existence of primitive divisors of Lehmer numbers


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (2)

A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$ ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\)







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