The Multi-Dimensional Local Theorem for Additive Arithmetic Functions

Analytic and Probabilistic Methods in Number Theory ◽

10.1515/9783112314234-029 ◽

1992 ◽

pp. 285-292

Keyword(s):

Arithmetic Functions ◽

Additive Arithmetic ◽

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Multidimensional local theorem in the Knopfmachers semigroup

Lietuvos matematikos rinkinys ◽

10.15388/lmr.2007.18178 ◽

2007 ◽

Vol 47 ◽

Author(s):

Rimantas Skrabutėnas

Keyword(s):

Arithmetic Functions ◽

In the presentpaper a multidimensionallocal theorem for arithmetic functions definedin the Knopfmachers semigroup G is obtained.

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Additive Arithmetic Functions on Differences

Grundlehren der mathematischen Wissenschaften - Arithmetic Functions and Integer Products ◽

10.1007/978-1-4613-8548-6_11 ◽

1985 ◽

pp. 204-243

Author(s):

P. D. T. A. Elliott

Keyword(s):

Arithmetic Functions ◽

Additive Arithmetic

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Distribution of additive arithmetic functions with shifted arguments. II

Lithuanian Mathematical Journal ◽

10.1007/bf00966422 ◽

1982 ◽

Vol 22 (3) ◽

pp. 294-302

Author(s):

Z. Kryžius

Keyword(s):

Arithmetic Functions ◽

Additive Arithmetic

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On the limiting distribution of additive arithmetic functions

Acta Mathematica ◽

10.1007/bf02392108 ◽

1974 ◽

Vol 132 (0) ◽

pp. 53-75 ◽

Author(s):

P. D. T. A. Elliott

Keyword(s):

Limiting Distribution ◽

Arithmetic Functions ◽

Additive Arithmetic

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Distribution of a class of additive arithmetic functions with values in a Hilbert space

Lithuanian Mathematical Journal ◽

10.1007/bf00968332 ◽

1986 ◽

Vol 25 (4) ◽

pp. 352-359

Author(s):

V. Nakutis

Keyword(s):

Hilbert Space ◽

Arithmetic Functions ◽

Additive Arithmetic

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Distribution of additive arithmetic functions with shifted arguments

Lithuanian Mathematical Journal ◽

10.1007/bf00972276 ◽

1977 ◽

Vol 17 (4) ◽

pp. 523-531

Author(s):

Z. Kryžius

Keyword(s):

Arithmetic Functions ◽

Additive Arithmetic

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An estimate for the remainder term in the central limit theorem for additive arithmetic functions

Lithuanian Mathematical Journal ◽

10.1007/bf00970725 ◽

1980 ◽

Vol 19 (4) ◽

pp. 516-524

Author(s):

J. Kubilius

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Remainder Term ◽

Arithmetic Functions ◽

Additive Arithmetic ◽

The Central Limit Theorem

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An analogue of Kolmogorov’s inequality for a class of additive arithmetic functions

Pacific Journal of Mathematics ◽

10.2140/pjm.1981.97.319 ◽

1981 ◽

Vol 97 (2) ◽

pp. 319-325

Author(s):

Joseph Collison

Keyword(s):

Arithmetic Functions ◽

Additive Arithmetic

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Estimating the second central moment for strongly additive arithmetic functions

Lithuanian Mathematical Journal ◽

10.1007/bf00968593 ◽

1983 ◽

Vol 23 (1) ◽

pp. 61-69 ◽

Author(s):

J. Kubilius

Keyword(s):

Central Moment ◽

Arithmetic Functions ◽

Additive Arithmetic

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Strong convergence of additive arithmetic functions

Lithuanian Mathematical Journal ◽

10.1007/bf00966181 ◽

1985 ◽

Vol 25 (2) ◽

pp. 154-161

Author(s):

E. Manstavičius

Keyword(s):

Strong Convergence ◽

Arithmetic Functions ◽

Additive Arithmetic

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