Comptes Rendus
Théorie des nombres
A Note on Barker Sequences and the L 1 -norm of Littlewood Polynomials
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 609-616.

In this note, we investigate the L 1 -norms of Barker polynomials and, more generally, Littlewood polynomials over the unit circle, and give improvements to some existing results.

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DOI : 10.5802/crmath.428
Classification : 11B83, 11C08, 30C10
Gang Yu 1

1 Department of Mathematical Sciences, Kent State University, East Summit Street, Kent, OH 45458, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {A {Note} on {Barker} {Sequences} and the $L_1$-norm of {Littlewood} {Polynomials}},
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     year = {2023},
     doi = {10.5802/crmath.428},
     language = {en},
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Gang Yu. A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 609-616. doi : 10.5802/crmath.428. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.428/

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[12] Bahman Saffari Barker sequences and Littlewood’s “two-sided conjectures” on polynomials with ±1 coefficients, Séminaire d’analyse harmonique. Année 1989/90., Université de Paris-Sud, Mathématiques, 1989, pp. 139-151

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