\(L_1\)-norms of exponential sums and the corresponding additive problem

DOI10.4171/ZAA/1056zbMath1030.11037OpenAlexW2087828416MaRDI QIDQ1598248

Ka-Lam Kueh, Moubariz Z. Garaev

Publication date: 7 July 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1056

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Trigonometric polynomials, inequalities, extremal problems (42A05) Additive number theory; partitions (11P99)

Related Items (5)

Exceptional set of a representation with fractional powers ⋮ Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems ⋮ On higher dimensional Poissonian pair correlation ⋮ Upper bounds for the number of solutions of a Diophantine equation ⋮ On cardinality of sumsets

Cites Work

• Unnamed Item
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• An estimate of the \(L_1\)-norm of an exponential sum
• Convexity and sumsets
• On lower bounds for the \(L_1\)-norm of exponential sums

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