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1 I2M - Institut de Mathématiques de Marseille

Abstract : – Let ξ, y be a point in R 2 and ψ : N → R + a function. We investigate the problem of the existence of infinitely many pairs p, q of coprime integers such that |qξ + p − y| ≤ ψ|q|. We give both unconditional results which are valid for every real pair ξ, y with ξ irrational, and metrical results valid for almost all points ξ, y. We link the subject with density exponents of lattice orbits in R 2 .





Autor: Michel Laurent - Arnaldo Nogueira -

Fuente: https://hal.archives-ouvertes.fr/



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