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

^*Corresponding author for this work

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

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.

Original language	English
Pages (from-to)	11-22
Number of pages	12
Journal	Manuscripta mathematica
Volume	61
Issue number	1
DOIs	https://doi.org/10.1007/BF01153578
Publication status	Published - 1 Mar 1988
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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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.",

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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.

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ER -

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

Abstract

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