An Averaged Chowla and Elliott Conjecture Along Independent Polynomials
نویسندگان
چکیده
منابع مشابه
The Logarithmically Averaged Chowla and Elliott Conjectures for Two-point Correlations
Let λ denote the Liouville function. The Chowla conjecture, in the two-point correlation case, asserts that ∑ n6x λ(a1n + b1)λ(a2n + b2) = o(x) as x→∞, for any fixed natural numbers a1, a2 and nonnegative integer b1, b2 with a1b2−a2b1 6= 0. In this paper we establish the logarithmically averaged version ∑ x/ω(x)<n6x λ(a1n + b1)λ(a2n + b2) n = o(logω(x)) of the Chowla conjecture as x → ∞, where ...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2017
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnx002