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A positive proportion of Thue equations fail the integral Hasse principle

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Publication:5376846
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DOI10.1353/ajm.2019.0006zbMath1450.11026arXiv1603.08623OpenAlexW2963231257WikidataQ128243958 ScholiaQ128243958MaRDI QIDQ5376846

Manjul Bhargava, Shabnam Akhtari

Publication date: 20 May 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08623


zbMATH Keywords

Hasse principleThue equation


Mathematics Subject Classification ID

Thue-Mahler equations (11D59)


Related Items (7)

A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ Unnamed Item ⋮ Thue equations that simultaneously fail the Hasse principle ⋮ A positive proportion of locally soluble quartic Thue equations are globally insoluble ⋮ Counting Monogenic Cubic Orders ⋮ 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




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