Friable Averages of Oscillating Arithmetic Functions

Régis de la Bretèche () and Gérald Tenenbaum ()
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Régis de la Bretèche: Institut de mathématiques de Jussieu-Paris Rive Gauche, Université Paris Cité, Sorbonne Université, CNRS
Gérald Tenenbaum: Université de Lorraine, Institut Élie Cartan

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 43-71 from Springer

Abstract: Abstract We evaluate friable averages of arithmetic functions whose Dirichlet series is analytically close to some negative power of the Riemann zeta function. We obtain asymptotic expansions resembling those provided by the Selberg-Delange method in the non-friable case. An application is given to summing truncated versions of such functions.

Keywords: Riemann zeta function; Friable integers; Delay-differential equations; Selberg-Delange method (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_5

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DOI: 10.1007/978-3-031-31617-3_5

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