On an extremal property of the Rudin‐Shapiro sequence

DOI10.1112/S0025579300010822zbMath0561.10025OpenAlexW1984896186MaRDI QIDQ5184982

Jean-Paul Allouche, Michel Mendès France

Publication date: 1985

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300010822

zbMATH Keywords

Thue-Morse sequenceextremal propertyRudin-Shapiro sequenceunimodular 2-multiplicative sequence

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Exponential sums and character sums (11L99)

Related Items (7)

Ergodic averages with deterministic weights ⋮ Note on an inequality for infinite series ⋮ Note on an extremal property of the Rudin-Shapiro sequence ⋮ Sums of digits and almost primes ⋮ Rudin–Shapiro sequences along squares ⋮ On the Rudin-Shapiro transform ⋮ Weyl sums over integers with affine digit restrictions

Cites Work

• On sums of Rudin-Shapiro coefficients. II
• Les suites à spectre vide et la répartition modulo 1
• Some Theorems on Fourier Coefficients
• Note on the Shapiro Polynomials

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