A note on some Diophantine inequalities over adelic curves

Paolo Dolce

doi:10.5802/jtnb.1316

A note on some Diophantine inequalities over adelic curves

Paolo Dolce

Research output: Contribution to journal › Article › peer-review

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 of Roth’s inequality for adelic curves.

Original language	English
Pages (from-to)	143-152
Number of pages	10
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	37
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.1316
State	Published - 1 Jan 2025
Externally published	Yes

Keywords

Adelic Curves
Mots-clefs. Diophantine Inequalities
Roth’s Theorem

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.5802/jtnb.1316

Cite this

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A note on some Diophantine inequalities over adelic curves

Abstract

Keywords

ASJC Scopus subject areas

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