Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
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| Publicado en: | Journal d'Analyse Mathématique vol. 119, no. 1 (Apr 2013), p. 147 |
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| Autor principal: | |
| Publicado: |
Springer Nature B.V.
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| Resumen: | We establish small correlation bounds for the Möbius function and the Walsh system, answering affirmatively a question posed by G. Kalai [Ka] . The argument is based on generalizing the approach of Mauduit and Rivat [M-R] in order to treat Walsh functions of "large weight", while the "small weight" case follows from recent work due to B. Green [Gr] . The conclusion is an estimate uniform over the full Walsh system. A similar result also holds for the Liouville function. |
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| ISSN: | 0021-7670 1565-8538 |
| DOI: | 10.1007/s11854-013-0005-2 |
| Fuente: | Science Database |