Fonctions arithmétiques multiplicativement monotones
arXiv:1809.08868
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.
in French, Bulletin of the Belgian Mathematical Society - Simon Stevin, Belgian Mathematical Society, inPress