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2001/2002 The Translation ½ in the Theory of Dirichlet Series
S. V. Konyagin, H. Queffélec
Real Anal. Exchange 27(1): 155-176 (2001/2002).

Abstract

In three different problems concerning Dirichlet series, we study in detail the role and optimality of a translation by $1/2$ on the abscissas. In particular, we show the non-existence of Rudin-Shapiro like Dirichlet polynomials.

Citation

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S. V. Konyagin. H. Queffélec. "The Translation ½ in the Theory of Dirichlet Series." Real Anal. Exchange 27 (1) 155 - 176, 2001/2002.

Information

Published: 2001/2002
First available in Project Euclid: 6 June 2008

zbMATH: 1026.42011
MathSciNet: MR1887689

Subjects:
Primary: 40F05 , 42A05 , 42A20 , 42A32 , 42A61
Secondary: 60D05

Keywords: $p$-Sidon set , abscissa of convergence , Almost everywhere convergence , Dirichlet series , number-theoretic function , Rudin-Shapiro like polynomials

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 1 • 2001/2002
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