Note on the Diophantine Equation Xt + Yt = BZt

DOI10.1515/INTEG.2011.015zbMATH Open1264.11027arXiv1003.3160MaRDI QIDQ2999534

Benjamin Dupuy

Publication date: 13 May 2011

Published in: Integers (Search for Journal in Brave)

Abstract: In this paper, we obtain new results on the integers solutions X, Y, Z of the diophantine equation X^t+Y^t=BZ^t for a rationnal integer B and a prime number t verifying some conditions explained in the paper.

Full work available at URL: https://arxiv.org/abs/1003.3160

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zbMATH Keywords

exponential Diophantine equationsgeneralised Fermat equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

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