Correlations of the divisor function

DOI10.1112/plms/pdr046zbMath1294.11168arXiv1011.0019OpenAlexW3105134576MaRDI QIDQ5390197

Lilian Matthiesen

Publication date: 27 April 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0019

zbMATH Keywords

divisor sumspseudorandom majorantnilpotent Hardy-Littlewood methodasymptotic for correlation

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges ⋮ Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions ⋮ Higher order Fourier analysis of multiplicative functions and applications ⋮ Asymptotics for some polynomial patterns in the primes ⋮ A relative Szemerédi theorem

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