The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures

The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures

We study the asymptotic behaviour of higher order correlations En≤X/d g1(n + ah1)· · · gk (n + ahk ) as a function of the parameters a and d, where g1, . . . , gk are bounded multiplicative functions, h1, . . . , hk are integer shifts, and X is large. Our main structural result asserts, roughly spea...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy:	Tao, T, Teräväinen, J
Format:	Journal article
Język:	English
Wydane:	Mathematical Sciences Publishers 2019

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