Weak uniform distribution of un+1=aun+b in Dedekind domains

Robert F. Tichy; Gerhard Turnwald

doi:10.1007/BF01153578

Weak uniform distribution of u_n+1=au_n+b in Dedekind domains

Robert F. Tichy^*, Gerhard Turnwald

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

Let R be a Dedekind domain and I be an ideal of R such that the residue class ring R/I is finite. Necessary and sufficient conditions for the inital value u_o and the coefficients a,b are obtained such that the recurring sequence u_n+1=au_n+b is weakly uniformly distributed modulo I.

Originalsprache	englisch
Seiten (von - bis)	11-22
Seitenumfang	12
Fachzeitschrift	Manuscripta mathematica
Jahrgang	61
Ausgabenummer	1
DOIs	https://doi.org/10.1007/BF01153578
Publikationsstatus	Veröffentlicht - 1 März 1988
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeine Mathematik

Zugriff auf Dokument

10.1007/BF01153578

Andere Dateien und Links

http://www.scopus.com/inward/record.url?scp=34250091633&partnerID=8YFLogxK

Dieses zitieren

@article{55ad82ac0dce41a6a71e9b91a54674aa,

title = "Weak uniform distribution of un+1=aun+b in Dedekind domains",

abstract = "Let R be a Dedekind domain and I be an ideal of R such that the residue class ring R/I is finite. Necessary and sufficient conditions for the inital value uo and the coefficients a,b are obtained such that the recurring sequence un+1=aun+b is weakly uniformly distributed modulo I.",

author = "Tichy, {Robert F.} and Gerhard Turnwald",

year = "1988",

month = mar,

day = "1",

doi = "10.1007/BF01153578",

language = "English",

volume = "61",

pages = "11--22",

journal = "Manuscripta mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Weak uniform distribution of un+1=aun+b in Dedekind domains

AU - Tichy, Robert F.

AU - Turnwald, Gerhard

PY - 1988/3/1

Y1 - 1988/3/1

N2 - Let R be a Dedekind domain and I be an ideal of R such that the residue class ring R/I is finite. Necessary and sufficient conditions for the inital value uo and the coefficients a,b are obtained such that the recurring sequence un+1=aun+b is weakly uniformly distributed modulo I.

AB - Let R be a Dedekind domain and I be an ideal of R such that the residue class ring R/I is finite. Necessary and sufficient conditions for the inital value uo and the coefficients a,b are obtained such that the recurring sequence un+1=aun+b is weakly uniformly distributed modulo I.

UR - http://www.scopus.com/inward/record.url?scp=34250091633&partnerID=8YFLogxK

U2 - 10.1007/BF01153578

DO - 10.1007/BF01153578

M3 - Article

AN - SCOPUS:34250091633

SN - 0025-2611

VL - 61

SP - 11

EP - 22

JO - Manuscripta mathematica

JF - Manuscripta mathematica

IS - 1

ER -