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ON MULTIPLICATIVE COMPOSITIONS OF INTEGERS

Part of: Multiplicative number theory Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  29 November 2017

Hugh L. Montgomery  and
Gérald Tenenbaum
Hugh L. Montgomery
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109–1043, U.S.A. email hlm@umich.edu
Gérald Tenenbaum
Affiliation:
Institut Élie Cartan, Faculté des Sciences, Université de Lorraine, B.P. 70239, 54506 Vandœuvre-lès-Nancy Cedex, France email gerald.tenenbaum@univ-lorraine.fr
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Abstract

We consider an arithmetic function defined independently by John G. Thompson and Greg Simay, with particular attention to its mean value, its maximal size, and the analytic nature of its Dirichlet series generating function.

MSC classification

Primary: 11N37: Asymptotic results on arithmetic functions 11N56: Rate of growth of arithmetic functions
Secondary: 11M41: Other Dirichlet series and zeta functions
Type
Research Article
Information
Mathematika , Volume 63 , Issue 3 , 2017 , pp. 1081 - 1090
Copyright
Copyright © University College London 2017 

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