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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Tao, T, Teräväinen, J
स्वरूप:	Journal article
भाषा:	English
प्रकाशित:	Mathematical Sciences Publishers 2019

समान संसाधन

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