Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat

Autor:	J. Bourgain
Rok vydání:	2013
Předmět:	Correlation Discrete mathematics Partial differential equation Binary digit General Mathematics Liouville function Walsh function Order (group theory) Möbius function Analysis Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::792a2c59625bda67d42cbd8baeed1507 https://doi.org/10.1007/s11854-013-0005-2 Zobrazit plný text záznamu Full text from SpringerLink