Major arcs and moments of arithmetical sequences

DOI10.1353/ajm.2020.0001zbMath1472.11251arXiv1611.08312OpenAlexW2557979753MaRDI QIDQ5218124

Daniel Fiorilli, Régis de la Bretèche

Publication date: 28 February 2020

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08312

zbMATH Keywords

leading termarithmetic progressionmean valueaveragearithmetic functiongeneralized divisor functioncongruence classmajor arcs

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55) Arithmetic functions in probabilistic number theory (11K65)

Related Items (5)

Moments of moments of primes in arithmetic progressions ⋮ Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges ⋮ Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus ⋮ A lower bound for the variance of generalized divisor functions in arithmetic progressions ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals]

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