Analytically defined uniformly dense sequences

D. Berend; M. D. Boshernitzan; G. Kolesnik

doi:10.1016/j.jnt.2015.03.004

Analytically defined uniformly dense sequences

D. Berend
, M. D. Boshernitzan
, G. Kolesnik

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

Abstract

We introduce a notion of uniform density. This notion is an analogue of uniform distribution modulo 1, but is of interest mostly for non-compact spaces. Our main results show that various specific (families of) sequences or real numbers, defined by means of analytic formulas, are uniformly dense.

Original language	English
Pages (from-to)	38-51
Number of pages	14
Journal	Journal of Number Theory
Volume	156
DOIs	https://doi.org/10.1016/j.jnt.2015.03.004
State	Published - 1 Nov 2015

Keywords

Primary
Uniform density
Uniform distribution mod1

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2015.03.004

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title = "Analytically defined uniformly dense sequences",

abstract = "We introduce a notion of uniform density. This notion is an analogue of uniform distribution modulo 1, but is of interest mostly for non-compact spaces. Our main results show that various specific (families of) sequences or real numbers, defined by means of analytic formulas, are uniformly dense.",

keywords = "Primary, Uniform density, Uniform distribution mod1",

author = "D. Berend and Boshernitzan, \{M. D.\} and G. Kolesnik",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc..",

year = "2015",

month = nov,

day = "1",

doi = "10.1016/j.jnt.2015.03.004",

language = "English",

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AU - Berend, D.

AU - Boshernitzan, M. D.

AU - Kolesnik, G.

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N2 - We introduce a notion of uniform density. This notion is an analogue of uniform distribution modulo 1, but is of interest mostly for non-compact spaces. Our main results show that various specific (families of) sequences or real numbers, defined by means of analytic formulas, are uniformly dense.

AB - We introduce a notion of uniform density. This notion is an analogue of uniform distribution modulo 1, but is of interest mostly for non-compact spaces. Our main results show that various specific (families of) sequences or real numbers, defined by means of analytic formulas, are uniformly dense.

KW - Primary

KW - Uniform density

KW - Uniform distribution mod1

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U2 - 10.1016/j.jnt.2015.03.004

DO - 10.1016/j.jnt.2015.03.004

M3 - Article

AN - SCOPUS:84930192911

SN - 0022-314X

VL - 156

SP - 38

EP - 51

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Analytically defined uniformly dense sequences

Abstract

Keywords

ASJC Scopus subject areas

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