Stability of second-order recurrences modulo pr

The concept of sequence stability generalizes the idea of uniform distribution. A sequence is p-stable if the set of residue frequencies of the sequence reduced modulo pr is eventually constant as a function of r. The authors identify and characterize the stability of second-order recurrences modulo...

Full description

Saved in:
Bibliographic Details
Main Authors: Lawrence Somer, Walter Carlip
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200003240
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850174975876530176
author Lawrence Somer
Walter Carlip
author_facet Lawrence Somer
Walter Carlip
author_sort Lawrence Somer
collection DOAJ
description The concept of sequence stability generalizes the idea of uniform distribution. A sequence is p-stable if the set of residue frequencies of the sequence reduced modulo pr is eventually constant as a function of r. The authors identify and characterize the stability of second-order recurrences modulo odd primes.
format Article
id doaj-art-d69528a192b24a27b2e6dc0e0cbf734e
institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d69528a192b24a27b2e6dc0e0cbf734e2025-08-20T02:19:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123422524110.1155/S0161171200003240Stability of second-order recurrences modulo prLawrence Somer0Walter Carlip1Department of Mathematics, Catholic University of America, Washington 20064, DC, USADepartment of Mathematics, Duke University, Durham 27708, North Carolina, USAThe concept of sequence stability generalizes the idea of uniform distribution. A sequence is p-stable if the set of residue frequencies of the sequence reduced modulo pr is eventually constant as a function of r. The authors identify and characterize the stability of second-order recurrences modulo odd primes.http://dx.doi.org/10.1155/S0161171200003240LucasFibonaccistabilityuniform distribution recurrence.
spellingShingle Lawrence Somer
Walter Carlip
Stability of second-order recurrences modulo pr
International Journal of Mathematics and Mathematical Sciences
Lucas
Fibonacci
stability
uniform distribution
recurrence.
title Stability of second-order recurrences modulo pr
title_full Stability of second-order recurrences modulo pr
title_fullStr Stability of second-order recurrences modulo pr
title_full_unstemmed Stability of second-order recurrences modulo pr
title_short Stability of second-order recurrences modulo pr
title_sort stability of second order recurrences modulo pr
topic Lucas
Fibonacci
stability
uniform distribution
recurrence.
url http://dx.doi.org/10.1155/S0161171200003240
work_keys_str_mv AT lawrencesomer stabilityofsecondorderrecurrencesmodulopr
AT waltercarlip stabilityofsecondorderrecurrencesmodulopr