Fonctions arithm\'etiques multiplicativement monotones
classification
🧮 math.NT
keywords
positiveapplicationsarithmarithmeticconstantdeterminantsdiscussedetiques
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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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