Explicit upper bound of the solution-free region for a Diophantine equation over number fields

DOI10.1007/S10986-019-09458-5zbMath1472.11100OpenAlexW2981895261MaRDI QIDQ779845

Wataru Takeda

Publication date: 14 July 2020

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-019-09458-5

zbMATH Keywords

Diophantine equationnumber fieldsolution-free region

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Multiplicative and norm form equations (11D57)

Cites Work

• Unnamed Item
• Imaginary quadratic fields with unique factorization
• Some effective cases of the Brauer-Siegel theorem
• Finiteness of trivial solutions of factorial products yielding a factorial over number fields

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