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arXiv · 1404.2849

A Finitary Hasse Principle for Diagonal Curves

Jean Bourgain·Michael Larsen
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Abstract

We prove a Hasse principle for solving equations of the form ax+by+cz=0 where x, y, z belong to a given finite index subgroup of the multiplicative group of rational numbers. From this we deduce a Hasse principle for diagonal curves over fields of algebraic numbers with finitely generated Galois group.

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Jean Bourgain, Michael Larsen. 2014-04-10. A Finitary Hasse Principle for Diagonal Curves. https://arxiv.org/abs/1404.2849

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