On an additive representation associated with the \(L_1\)-norm of an exponential sum

DOI10.1216/rmjm/1194275934zbMath1140.11019OpenAlexW2013805017MaRDI QIDQ2478043

Moubariz Z. Garaev

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1194275934

zbMATH Keywords

exponential sums\(L_1\)-normadditive representations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Trigonometric and exponential sums (general theory) (11L03)

Related Items (2)

On the number of representations by \(n!\) modulo a prime and applications ⋮ On Sumsets of Convex Sets

Cites Work

• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• An estimate of the \(L_1\)-norm of an exponential sum
• Upper bounds for the number of solutions of a Diophantine equation
• On lower bounds for the \(L_1\)-norm of exponential sums
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