Discrepancy estimates for some linear generalized monomials

DOI10.4064/aa8164-12-2015zbMath1342.11067OpenAlexW2330997271MaRDI QIDQ2809368

Olivier Ramaré, Roswitha Hofer

Publication date: 27 May 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8164-12-2015

zbMATH Keywords

Diophantine approximationdiscrepancyKronecker sequencegeneralized polynomialsuniform distribution modulo one

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (3)

A metric result for special sequences related to the Halton sequences ⋮ Discrepancy estimates for some linear generalized monomials at prime arguments ⋮ Discrepancy estimates for generalized polynomials

Cites Work

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• On simultaneous approximations of two algebraic numbers by rationals
• Erdős-Turán constants
• Improved discrepancy bounds for hybrid sequences involving Halton sequences
• On the discrepancy of some hybrid sequences
• On Some Diophantine Inequalities Involving the Exponential Function

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