Simultaneous small fractional parts of polynomials

DOI10.1007/s00039-021-00559-3zbMath1479.11122arXiv2011.12275OpenAlexW3146735358MaRDI QIDQ2035534

James Maynard

Publication date: 25 June 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12275

zbMATH Keywords

polynomialsfractional partsequidistributiondistance to the nearest integer

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Small fractional parts of polynomials and generalizations (11J54)

Related Items (1)

A new upper bound for sets with no square differences

Cites Work

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• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Vinogradov's mean value theorem via efficient congruencing
• Small fractional parts of polynomials
• Small values of \(n^ 2\alpha\pmod 1\)
• Vinogradov's mean value theorem via efficient congruencing. II
• MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS
• FRACTIONAL PARTS OF SEVERAL POLYNOMIALS
• Fractional parts of several polynomials—II
• FRACTIONAL PARTS OF SEVERAL POLYNOMIALS III
• The application of a new mean value theorem to the fractional parts of polynomials
• Further improvements in Waring's problem, IV: Higher powers
• FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES. II
• FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES
• Fractional Parts of Pairs of Quadratic Polynomials
• PRIMES REPRESENTED BY INCOMPLETE NORM FORMS

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