Explicit averages of square-free supported functions: to the edge of the convolution method

DOI10.4064/cm8337-11-2020zbMath1493.11136arXiv2003.05887OpenAlexW3169383620MaRDI QIDQ5066076

Sebastian Zuniga Alterman

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05887

zbMATH Keywords

convolution methodarithmetic functionsexplicit averages

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Primes (11A41)

Related Items (2)

On a logarithmic sum related to the Selberg sieve ⋮ \(\mathbb{Q}\)-curves, Hecke characters, and some Diophantine equations. II

Cites Work

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• A Brun–Titchmarsh inequality for weighted sums over prime numbers
• Explicit averages of non-negative multiplicative functions: going beyond the main term
• Explicit average orders: news and problems
• Numerical computations concerning the GRH
• Primes in arithmetic progressions

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