Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges

DOI10.1007/s00208-018-01801-4zbMath1416.11138arXiv1712.08840OpenAlexW2963420243MaRDI QIDQ2423429

Maksym Radziwiłł, Kaisa Matomäki, Terence C. Tao

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08840

zbMATH Keywords

correlationGoldbach conjectureHardy-Littlewood prime tuples conjecturehigher divisor functiondivisor correlation conjecturehigher order Titchmarsh divisor problemvon Mongoldt function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36)

Related Items (10)

Averages of shifted convolution sums for arithmetic functions ⋮ Triple correlations of ternary divisor functions. II ⋮ On the Rankin-Selberg problem in families ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ On the asymptotics of the shifted sums of Hecke eigenvalue squares ⋮ Goldbach numbers in short intervals ⋮ Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions ⋮ Averaged forms of two conjectures of Erdős and Pomerance, and their applications ⋮ On Hecke eigenvalues of cusp forms in almost all short intervals ⋮ Correlations of almost primes

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