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arXiv · 1809.08868

Fonctions arithm\'etiques multiplicativement monotones

Michel Balazard
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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.

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Michel Balazard. 2018-09-24. Fonctions arithm\'etiques multiplicativement monotones. https://arxiv.org/abs/1809.08868

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