On the distribution of Dirichlet sums

DOI10.1007/BF03341964zbMath0793.11020MaRDI QIDQ1317291

Jean Bourgain

Publication date: 28 August 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Dirichlet polynomialsdistribution of Dirichlet character sumsHausdorff dimension of Besicovitch sets

Mathematics Subject Classification ID

Estimates on character sums (11L40)

Related Items (6)

Decoupling inequalities for short generalized Dirichlet sequences ⋮ On Montgomery's conjecture and the distribution of Dirichlet sums ⋮ Finite field restriction estimates based on Kakeya maximal operator estimates ⋮ Exploring the toolkit of Jean Bourgain ⋮ Bourgain’s work in Fourier restriction ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

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• On limits of sequences of operators
• Besicovitch type maximal operators and applications to Fourier analysis
• \(L^ p\)-estimates for oscillatory integrals in several variables
• Topics in multiplicative number theory
• A Large Values Estimate for Dirichlet Polynomials

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