Random Thue and Fermat equations

DOI10.4064/aa167-2-6zbMath1364.11081arXiv1411.3194OpenAlexW2963377038MaRDI QIDQ5496946

Rainer Dietmann, Oscar Marmon

Publication date: 29 January 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3194

zbMATH Keywords

Hasse principleabc-conjecture

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Higher degree equations; Fermat's equation (11D41)

Related Items (2)

Fibrations with few rational points ⋮ Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture

Cites Work

• Quantitative arithmetic of projective varieties
• The number of solutions of some congruences in two variables
• Random Diophantine equations. I
• Square-free values of n²+1
• On ternary quadratic forms that represent zero
• On Solvability of Ternary Quadratic Forms
• Density of Châtelet surfaces failing the Hasse principle
• Rational and Integral Points on Quadratic Twists of a Given Hyperelliptic Curve
• The density of twins of k -free numbers
• Solubility of Fermat equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Random Thue and Fermat equations