Joint distribution of completely q-additive functions in residue classes

D. Berend; G. Kolesnik

doi:10.1016/j.jnt.2015.09.006

Joint distribution of completely q-additive functions in residue classes

D. Berend
, G. Kolesnik

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Given several completely q_j-additive integer functions with pairwise prime q_j's, we consider their joint behavior modulo some integer vector. Under several natural conditions, it is possible to show that this behavior displays some "independence" properties with respect to the various moduli. In this paper we deal with this phenomenon along arithmetic sequences, as well as on short intervals.

Original language	English
Pages (from-to)	716-738
Number of pages	23
Journal	Journal of Number Theory
Volume	160
DOIs	https://doi.org/10.1016/j.jnt.2015.09.006
State	Published - 1 Mar 2016

Keywords

11N37
11N60
11N69
Completely q-additive function
Joint distribution
Q-Additive function
Uniform distribution

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2015.09.006

Cite this

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title = "Joint distribution of completely q-additive functions in residue classes",

abstract = "Given several completely qj-additive integer functions with pairwise prime qj's, we consider their joint behavior modulo some integer vector. Under several natural conditions, it is possible to show that this behavior displays some {"}independence{"} properties with respect to the various moduli. In this paper we deal with this phenomenon along arithmetic sequences, as well as on short intervals.",

keywords = "11N37, 11N60, 11N69, Completely q-additive function, Joint distribution, Q-Additive function, Uniform distribution",

author = "D. Berend and G. Kolesnik",

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AU - Kolesnik, G.

PY - 2016/3/1

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N2 - Given several completely qj-additive integer functions with pairwise prime qj's, we consider their joint behavior modulo some integer vector. Under several natural conditions, it is possible to show that this behavior displays some "independence" properties with respect to the various moduli. In this paper we deal with this phenomenon along arithmetic sequences, as well as on short intervals.

AB - Given several completely qj-additive integer functions with pairwise prime qj's, we consider their joint behavior modulo some integer vector. Under several natural conditions, it is possible to show that this behavior displays some "independence" properties with respect to the various moduli. In this paper we deal with this phenomenon along arithmetic sequences, as well as on short intervals.

KW - 11N37

KW - 11N60

KW - 11N69

KW - Completely q-additive function

KW - Joint distribution

KW - Q-Additive function

KW - Uniform distribution

UR - https://www.scopus.com/pages/publications/84959440812

U2 - 10.1016/j.jnt.2015.09.006

DO - 10.1016/j.jnt.2015.09.006

M3 - Article

AN - SCOPUS:84959440812

SN - 0022-314X

VL - 160

SP - 716

EP - 738

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Joint distribution of completely q-additive functions in residue classes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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