Diophantine approximation with restricted numerators and denominators on semisimple groups

Alexander Gorodnik; Shirali Kadyrov

doi:10.5802/jtnb.967

Diophantine approximation with restricted numerators and denominators on semisimple groups

Alexander Gorodnik, Shirali Kadyrov

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with a prescribed denominator and an almost prime numerator.

Original language	English
Pages (from-to)	1-28
Number of pages	28
Journal	Journal de théorie des nombres de Bordeaux
Volume	29
Issue number	1
Early online date	1 Jan 2017
DOIs	https://doi.org/10.5802/jtnb.967
Publication status	Published - 2017

Keywords

Almost primes
Diophantine approximation in algebraic groups
Property (τ)
Restricted diophantine approximation
Sieving on algebraic groups

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author = "Alexander Gorodnik and Shirali Kadyrov",

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AU - Kadyrov, Shirali

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AB - We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with a prescribed denominator and an almost prime numerator.

KW - Almost primes

KW - Diophantine approximation in algebraic groups

KW - Property (τ)

KW - Restricted diophantine approximation

KW - Sieving on algebraic groups

UR - https://www.scopus.com/pages/publications/85011798993

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DO - 10.5802/jtnb.967

M3 - Article (Academic Journal)

AN - SCOPUS:85011798993

SN - 1246-7405

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JO - Journal de théorie des nombres de Bordeaux

JF - Journal de théorie des nombres de Bordeaux

IS - 1

ER -

Diophantine approximation with restricted numerators and denominators on semisimple groups

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Keywords

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