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...
| Autori principali: | , |
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| Natura: | Journal article |
| Lingua: | English |
| Pubblicazione: |
Mathematical Sciences Publishers
2019
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