Short interval results for certain arithmetic functions

DOI10.1142/S1793042118500331zbMath1420.11121arXiv1605.00072OpenAlexW3103252154MaRDI QIDQ3133130

Olivier Bordellès

Publication date: 13 February 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00072

zbMATH Keywords

short sumsDirichlet hyperbola principleHooley's divisor function

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

On a sum involving the Euler function ⋮ Large values of Dirichlet L-functions at zeros of a class of L-functions

Cites Work

• Unnamed Item
• Short interval asymptotics for a class of arithmetic functions
• Short sums of certain arithmetic functions
• Some remarks on a paper of Ramachandra
• Multiplicative functions over short segments
• Short sums of restricted Möbius functions
• Some problems of analytic number theory
• A Brun-Titschmarsh theorem for multiplicative functions.
• The Selberg–Delange method in short intervals with an application
• Asymptotics for a class of arithmetic functions

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