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On the Hardy-Littlewood majorant problem for arithmetic sets

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Publication:281522
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DOI10.1016/j.jfa.2016.04.008zbMath1338.30003arXiv1505.00409OpenAlexW2963377168MaRDI QIDQ281522

Bartosz Trojan, Mariusz Mirek, Ben Krause

Publication date: 11 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00409


zbMATH Keywords

exponential sumsalmost orthogonalityHardy-Littlewood majorant problem


Mathematics Subject Classification ID

Inequalities in the complex plane (30A10)


Related Items (1)

Roth's theorem and the Hardy-Littlewood majorant problem for thin subsets of primes



Cites Work

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  • On \(\Lambda\) (p)-subsets of squares
  • Roth's theorem in the primes
  • Weak type \((1,1)\) inequalities for discrete rough maximal functions
  • On the Hardy-Littlewood majorant problem for random sets
  • The Pjateckii-Sapiro prime number theorem
  • Majorant problems for trigonometric series
  • Restriction theory of the Selberg sieve, with applications
  • On the Hardy–Littlewood majorant problem
  • ON THE UPPER AND LOWER MAJORANT PROPERTIES IN LP(G)
  • NOTES ON THE THEORY OF SERIES (XIX): A PROBLEM CONCERNING MAJORANTS OF FOURIER SERIES


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