SU\G(𝔸)/K·U

Une remarque sur les extensions pondérées de l'inégalité de Turán–Kubilius

Régis de la Bretèche, Gérald Tenenbaum

Type: Article

Publication Date: 2010-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa144-1-6

Abstract

We provide a new proof, in a slightly different setting and along classical lines, of a general, weighted form of the Turan-Kubilius inequality due to P.D.T.A. Elliott, namely nx g(n) f (n) − Ef (x) 2 � xHxDf (x) 2 ,

Locations

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Works That Cite This (0)

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Works Cited by This (5)

Action Title Year Authors
+ Arithmetic Functions and Integer Products 1985 P. D. T. A. Elliott
+ A Note on the Large Sieve 1968 Hugh L. Montgomery
+ An asymptotic formula for the variance of an additive function 1983 Adolf Hildebrand
+ A Tur�n-Kubilius inequality with multiplicative weights 1996 András Bíró
Tamás Szamuely
+ Estimating the second central moment for any additive arithmetic functions 1984 Jonas Kubilius