Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
Autor: | J. Bourgain |
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Rok vydání: | 2013 |
Předmět: | |
Zdroj: | Journal d'Analyse Mathématique. 119:147-163 |
ISSN: | 1565-8538 0021-7670 |
DOI: | 10.1007/s11854-013-0005-2 |
Popis: | We establish small correlation bounds for the Mobius 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. |
Databáze: | OpenAIRE |
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