On the Fourier-Walsh spectrum of the Moebius function

DOI10.1007/s11856-013-0002-2zbMath1336.11038OpenAlexW2914278148MaRDI QIDQ375771

Jean Bourgain

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-013-0002-2

zbMATH Keywords

monotone Boolean functionsMoebius functionFourier-Walsh spectrum

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Fourier coefficients of automorphic forms (11F30)

Related Items (6)

On the Fourier-Walsh spectrum of the Moebius function. II ⋮ Shifted convolution sums for higher rank groups ⋮ Prime numbers along Rudin-Shapiro sequences ⋮ Monotone Boolean functions capture their primes ⋮ Algebraic trace functions over the primes ⋮ Prime numbers in two bases

Cites Work

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• Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
• On (Not) Computing the Möbius Function Using Bounded Depth Circuits
• Primes with preassigned digits II
• On the L ¹ Mean of the Exponential Sum Formed with the Möbius Function
• On the Fourier spectrum of monotone functions

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