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On an extremal property of the Rudin‐Shapiro sequence

 

作者: Jean-Paul Allouche,   Michel Mendès France,  

 

期刊: Mathematika  （WILEY Available online 1985）
卷期: Volume 32, issue 1  

页码: 33-38

 

ISSN:0025-5793

 

年代: 1985

 

DOI:10.1112/S0025579300010822

 

出版商: London Mathematical Society

 

数据来源: WILEY

 

摘要:

AbstractExtending the well‐known property of the Rudin‐ Shapiro sequenceε= (ε(n)) with values in {−1, +1} satisfyingsup0⩽θ⩽2π|∑n=0N−1ε(n) exp (2iπnθ)|⩽(2+√2)√N,we show that for all unimodular 2‐multiplicative sequencesf = (f(n))|∑n=0N−1ε(n)f(n)|⩽(2+√2)√N.

 

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