Fonctions arithm\'etiques multiplicativement monotones
Number Theory
2018-09-25 v1
Abstract
A real arithmetic function f is multiplicatively monotonous if f (mn) -- f (m) has constant sign for m, n positive integers. Properties and examples of such functions are discussed, with applications to positive hermitian Toeplitz-multiplicative determinants.
Cite
@article{arxiv.1809.08868,
title = {Fonctions arithm\'etiques multiplicativement monotones},
author = {Michel Balazard},
journal= {arXiv preprint arXiv:1809.08868},
year = {2018}
}
Comments
in French, Bulletin of the Belgian Mathematical Society - Simon Stevin, Belgian Mathematical Society, inPress