A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials
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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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.428/ |
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| author | Yu, Gang |
| author_facet | Yu, Gang |
| author_sort | Yu, Gang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ea0cfcc72a094a2eb06631da01b9246f |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-ea0cfcc72a094a2eb06631da01b9246f2025-02-07T11:07:00ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-03-01361G360961610.5802/crmath.42810.5802/crmath.428A Note on Barker Sequences and the $L_1$-norm of Littlewood PolynomialsYu, Gang0Department of Mathematical Sciences, Kent State University, East Summit Street, Kent, OH 45458, USAIn 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.428/ |
| spellingShingle | Yu, Gang A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials Comptes Rendus. Mathématique |
| title | A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials |
| title_full | A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials |
| title_fullStr | A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials |
| title_full_unstemmed | A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials |
| title_short | A Note on Barker Sequences and the $L_1$-norm of Littlewood Polynomials |
| title_sort | note on barker sequences and the l 1 norm of littlewood polynomials |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.428/ |
| work_keys_str_mv | AT yugang anoteonbarkersequencesandthel1normoflittlewoodpolynomials AT yugang noteonbarkersequencesandthel1normoflittlewoodpolynomials |