Infinity of Zeros of Recurrence Sequences

Infinity of Zeros of Recurrence Sequences

The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem w...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematics research 2011-08, Vol.3 (3), p.130-130
Hauptverfasser: Kaouache, S., Zerzaihi, T.
Format: Artikel
Sprache:eng
Schlagworte:
Infinity
Initial conditions
Mathematical analysis
Proving
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 130
container_issue 3
container_start_page 130
container_title Journal of mathematics research
container_volume 3
creator Kaouache, S.
Zerzaihi, T.
description The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem when the general term of the recurrent sequence is of exponential polynomial with some initial conditions that simplify the problem.
doi_str_mv 10.5539/jmr.v3n3p130
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1019691680</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1019691680</sourcerecordid><originalsourceid>FETCH-LOGICAL-c700-58dab32673adec536de8c834a3521e1877ebfd5b93f3055a8d2054bf0bfb82df3</originalsourceid><addsrcrecordid>eNo1kE1LAzEQhoMoWKs3f8AeFdya7GyyyVGK1UJB0J68LPmYwJb9MukK_fem1J7mOTy8M_MScs_ognNQz7suLH6hh5EBvSAzppjIlaTq8syV4tfkJsYdpUKIks_I47r3Td_sD9ngs28MQzzCJ9opBOwtZl_4Mx0h3pIrr9uId_9zTrar1-3yPd98vK2XL5vcVpTmXDptoBAVaIeWg3AorYRSAy8YMllVaLzjRoEHyrmWrqC8NJ4ab2ThPMzJwyl2DEPaHPd110SLbat7HKZYM8qUSM9ImtSnk2rT2TGgr8fQdDocklQfC6lTIfW5EPgD7XpULw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1019691680</pqid></control><display><type>article</type><title>Infinity of Zeros of Recurrence Sequences</title><source>EZB-FREE-00999 freely available EZB journals</source><source>Free E- Journals</source><creator>Kaouache, S. ; Zerzaihi, T.</creator><creatorcontrib>Kaouache, S. ; Zerzaihi, T.</creatorcontrib><description>The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem when the general term of the recurrent sequence is of exponential polynomial with some initial conditions that simplify the problem.</description><identifier>ISSN: 1916-9795</identifier><identifier>EISSN: 1916-9809</identifier><identifier>DOI: 10.5539/jmr.v3n3p130</identifier><language>eng</language><subject>Infinity ; Initial conditions ; Mathematical analysis ; Proving ; Theorems</subject><ispartof>Journal of mathematics research, 2011-08, Vol.3 (3), p.130-130</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Kaouache, S.</creatorcontrib><creatorcontrib>Zerzaihi, T.</creatorcontrib><title>Infinity of Zeros of Recurrence Sequences</title><title>Journal of mathematics research</title><description>The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem when the general term of the recurrent sequence is of exponential polynomial with some initial conditions that simplify the problem.</description><subject>Infinity</subject><subject>Initial conditions</subject><subject>Mathematical analysis</subject><subject>Proving</subject><subject>Theorems</subject><issn>1916-9795</issn><issn>1916-9809</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNo1kE1LAzEQhoMoWKs3f8AeFdya7GyyyVGK1UJB0J68LPmYwJb9MukK_fem1J7mOTy8M_MScs_ognNQz7suLH6hh5EBvSAzppjIlaTq8syV4tfkJsYdpUKIks_I47r3Td_sD9ngs28MQzzCJ9opBOwtZl_4Mx0h3pIrr9uId_9zTrar1-3yPd98vK2XL5vcVpTmXDptoBAVaIeWg3AorYRSAy8YMllVaLzjRoEHyrmWrqC8NJ4ab2ThPMzJwyl2DEPaHPd110SLbat7HKZYM8qUSM9ImtSnk2rT2TGgr8fQdDocklQfC6lTIfW5EPgD7XpULw</recordid><startdate>20110801</startdate><enddate>20110801</enddate><creator>Kaouache, S.</creator><creator>Zerzaihi, T.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20110801</creationdate><title>Infinity of Zeros of Recurrence Sequences</title><author>Kaouache, S. ; Zerzaihi, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c700-58dab32673adec536de8c834a3521e1877ebfd5b93f3055a8d2054bf0bfb82df3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Infinity</topic><topic>Initial conditions</topic><topic>Mathematical analysis</topic><topic>Proving</topic><topic>Theorems</topic><toplevel>online_resources</toplevel><creatorcontrib>Kaouache, S.</creatorcontrib><creatorcontrib>Zerzaihi, T.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of mathematics research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kaouache, S.</au><au>Zerzaihi, T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Infinity of Zeros of Recurrence Sequences</atitle><jtitle>Journal of mathematics research</jtitle><date>2011-08-01</date><risdate>2011</risdate><volume>3</volume><issue>3</issue><spage>130</spage><epage>130</epage><pages>130-130</pages><issn>1916-9795</issn><eissn>1916-9809</eissn><abstract>The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem when the general term of the recurrent sequence is of exponential polynomial with some initial conditions that simplify the problem.</abstract><doi>10.5539/jmr.v3n3p130</doi><tpages>1</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1916-9795
ispartof Journal of mathematics research, 2011-08, Vol.3 (3), p.130-130
issn 1916-9795
1916-9809
language eng
recordid cdi_proquest_miscellaneous_1019691680
source EZB-FREE-00999 freely available EZB journals; Free E- Journals
subjects Infinity
Initial conditions
Mathematical analysis
Proving
Theorems
title Infinity of Zeros of Recurrence Sequences
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-19T00%3A41%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Infinity%20of%20Zeros%20of%20Recurrence%20Sequences&rft.jtitle=Journal%20of%20mathematics%20research&rft.au=Kaouache,%20S.&rft.date=2011-08-01&rft.volume=3&rft.issue=3&rft.spage=130&rft.epage=130&rft.pages=130-130&rft.issn=1916-9795&rft.eissn=1916-9809&rft_id=info:doi/10.5539/jmr.v3n3p130&rft_dat=%3Cproquest_cross%3E1019691680%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1019691680&rft_id=info:pmid/&rfr_iscdi=true