A note on some Diophantine inequalities over adelic curves

Paolo Dolce

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arXiv · 2308.02998

A note on some Diophantine inequalities over adelic curves

Paolo Dolce

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Abstract

Without assuming the Northcott property we provide an upper bound on the number of "big solutions" of a special system of Diophantine inequalities over proper adelic curves. This system is interesting since it is a stronger version Roth's inequality for adelic curves.

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Paolo Dolce. 2023-08-06. A note on some Diophantine inequalities over adelic curves. https://arxiv.org/abs/2308.02998

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