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On an extremal property of the Rudin-Shapiro sequence

Published online by Cambridge University Press:  26 February 2010

Jean-Paul Allouche  and
Michel Mendès France
Jean-Paul Allouche
Affiliation:
U.E.R. de Mathématique, Universté de Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France.
Michel Mendès France
Affiliation:
U.E.R. de Mathématique, Université de Bordeaux I, 351 Cours de La Liberation, 33405 Talence Cedex, France.
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Abstract

Extending the well-known property of the Rudin- Shapiro sequence ε = (ε(n)) with values in {−1, +1} satisfying

we show that for all unimodular 2-multiplicative sequences f = (f(n))

Information

Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 33 - 38
Copyright
Copyright © University College London 1985

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