On large \(F\)-Diophantine sets

DOI10.1007/S00605-017-1106-2zbMath1448.11070arXiv1708.08525OpenAlexW2963447751MaRDI QIDQ1662409

Nermine El-Sissi, Mohammad Sadek

Publication date: 20 August 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08525

zbMATH Keywords

rational pointsrational varietiesintersection of quadrics\(F\)-Diophantine sets

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61)

Cites Work

• Finiteness results for \(F\)-Diophantine sets
• On certain twisted families of elliptic curves of rank 8
• A unified method of construction of elliptic curves with high Mordell-Weil rank.
• On the existence of elliptic curves of Mordell-Weil rank 6 with four parameters
• There are only finitely many Diophantine quintuples
• There is no Diophantine quintuple

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