On the distribution of additive arithmetic functions
Gábor Halász (1975)
Acta Arithmetica
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Gábor Halász (1975)
Acta Arithmetica
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H. G. Meijer, R. Tijdeman (1974)
Compositio Mathematica
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B. Levin, N. Timofeev (1975)
Acta Arithmetica
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Werner Georg Nowak (1996)
Commentationes Mathematicae Universitatis Carolinae
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This article deals with the value distribution of multiplicative prime-independent arithmetic functions with if is -free ( a fixed integer), else, and . An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zeta-function. Applications to the enumerative functions of Abelian groups and of semisimple rings of given finite order are discussed.
Kátai, Imre, Subbarao, M.V. (2005)
Mathematica Pannonica
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T. P. Peneva, D. I. Tolev (1998)
Acta Arithmetica
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Olivier Ramaré, Imre Z. Ruzsa (2001)
Journal de théorie des nombres de Bordeaux
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We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.