A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES

In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t| < V} functions for L-functions of elliptic curves LE(s). The main statement of the paper is as follows. Let h > 0 be a...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Jaunųjų Mokslininkų Darbai 2018-12, Vol.48 (2 (48)), p.27-29
Hauptverfasser:	Garbaliauskienė, Virginija, Garbaliauskas, Antanas
Format:	Artikel
Sprache:	eng
Schlagworte:	Education elliptic curve L-function limit theorem Methodology and research technology weak convergence
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	29
container_issue	2 (48)
container_start_page	27
container_title	Jaunųjų Mokslininkų Darbai
container_volume	48
creator	Garbaliauskienė, Virginija Garbaliauskas, Antanas
description	In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, \|t\| < V} functions for L-functions of elliptic curves LE(s). The main statement of the paper is as follows. Let h > 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{0}. Then the probability measure μN(LE(s + imh)∈A), A ∈ B(H(DV)), converges weakly to the measure PLE as N→∞.
doi_str_mv	10.21277/jmd.v48i2.224
format	Article
fullrecord	<record><control><sourceid>ceeol_cross</sourceid><recordid>TN_cdi_crossref_primary_10_21277_jmd_v48i2_224</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ceeol_id>1023201</ceeol_id><doaj_id>oai_doaj_org_article_b390c75d85594064889fc304ac45e84e</doaj_id><sourcerecordid>1023201</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1674-ae2763094244d7ed864535523a653efb1a8317e8a37f41d2f7c52becc8c8c7203</originalsourceid><addsrcrecordid>eNpNkE1Lw0AQhoMoWLRXb8L-gcT9mM1u8FRiYhfSRtLU67LZbCSlNZKo4L93aYvIHGYYZh54nyC4IziihArxsDu00TfInkaUwkUwIzHIUAoRX_6br4P5NPUNBhBAYyFmweMCPalNWmV1hgq1UjWql1lZZSuUlxUqwny7TmtVrjeozFFWFOqlVilKt9VrtrkNrjqzn9z83G-CbZ7V6TIsymeVLorQklhAaBwVMcMJUIBWuFbGwBnnlJmYM9c1xEhGhJOGiQ5ISzthOW2ctdKXoJjdBOrEbQez0x9jfzDjjx5Mr4-LYXzTZvzs7d7phiXYCt5KzhPAPrZMOsswGAvcSXCeFZ1YdhymaXTdH49gfTSpvUl9NKm9Sf9wf35wbtjr3fA1vvuw_pwyign7BQXSaW4</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Garbaliauskienė, Virginija ; Garbaliauskas, Antanas</creator><creatorcontrib>Garbaliauskienė, Virginija ; Garbaliauskas, Antanas</creatorcontrib><description>In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, \|t\| < V} functions for L-functions of elliptic curves LE(s). The main statement of the paper is as follows. Let h > 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{0}. Then the probability measure μN(LE(s + imh)∈A), A ∈ B(H(DV)), converges weakly to the measure PLE as N→∞.</description><identifier>ISSN: 1648-8776</identifier><identifier>EISSN: 1648-8776</identifier><identifier>DOI: 10.21277/jmd.v48i2.224</identifier><language>eng</language><publisher>Vilniaus Universiteto Leidykla</publisher><subject>Education ; elliptic curve ; L-function ; limit theorem ; Methodology and research technology ; weak convergence</subject><ispartof>Jaunųjų Mokslininkų Darbai, 2018-12, Vol.48 (2 (48)), p.27-29</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttps://www.ceeol.com//api/image/getissuecoverimage?id=picture_2018_66274.jpg</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Garbaliauskienė, Virginija</creatorcontrib><creatorcontrib>Garbaliauskas, Antanas</creatorcontrib><title>A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES</title><title>Jaunųjų Mokslininkų Darbai</title><addtitle>Journal of Young Scientists</addtitle><description>In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, \|t\| < V} functions for L-functions of elliptic curves LE(s). The main statement of the paper is as follows. Let h > 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{0}. Then the probability measure μN(LE(s + imh)∈A), A ∈ B(H(DV)), converges weakly to the measure PLE as N→∞.</description><subject>Education</subject><subject>elliptic curve</subject><subject>L-function</subject><subject>limit theorem</subject><subject>Methodology and research technology</subject><subject>weak convergence</subject><issn>1648-8776</issn><issn>1648-8776</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>REL</sourceid><sourceid>DOA</sourceid><recordid>eNpNkE1Lw0AQhoMoWLRXb8L-gcT9mM1u8FRiYhfSRtLU67LZbCSlNZKo4L93aYvIHGYYZh54nyC4IziihArxsDu00TfInkaUwkUwIzHIUAoRX_6br4P5NPUNBhBAYyFmweMCPalNWmV1hgq1UjWql1lZZSuUlxUqwny7TmtVrjeozFFWFOqlVilKt9VrtrkNrjqzn9z83G-CbZ7V6TIsymeVLorQklhAaBwVMcMJUIBWuFbGwBnnlJmYM9c1xEhGhJOGiQ5ISzthOW2ctdKXoJjdBOrEbQez0x9jfzDjjx5Mr4-LYXzTZvzs7d7phiXYCt5KzhPAPrZMOsswGAvcSXCeFZ1YdhymaXTdH49gfTSpvUl9NKm9Sf9wf35wbtjr3fA1vvuw_pwyign7BQXSaW4</recordid><startdate>20181220</startdate><enddate>20181220</enddate><creator>Garbaliauskienė, Virginija</creator><creator>Garbaliauskas, Antanas</creator><general>Vilniaus Universiteto Leidykla</general><general>Vilnius University Press</general><scope>AE2</scope><scope>BIXPP</scope><scope>REL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope></search><sort><creationdate>20181220</creationdate><title>A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES</title><author>Garbaliauskienė, Virginija ; Garbaliauskas, Antanas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1674-ae2763094244d7ed864535523a653efb1a8317e8a37f41d2f7c52becc8c8c7203</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Education</topic><topic>elliptic curve</topic><topic>L-function</topic><topic>limit theorem</topic><topic>Methodology and research technology</topic><topic>weak convergence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Garbaliauskienė, Virginija</creatorcontrib><creatorcontrib>Garbaliauskas, Antanas</creatorcontrib><collection>Central and Eastern European Online Library (C.E.E.O.L.) (DFG Nationallizenzen)</collection><collection>CEEOL: Open Access</collection><collection>Central and Eastern European Online Library</collection><collection>CrossRef</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Jaunųjų Mokslininkų Darbai</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Garbaliauskienė, Virginija</au><au>Garbaliauskas, Antanas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES</atitle><jtitle>Jaunųjų Mokslininkų Darbai</jtitle><addtitle>Journal of Young Scientists</addtitle><date>2018-12-20</date><risdate>2018</risdate><volume>48</volume><issue>2 (48)</issue><spage>27</spage><epage>29</epage><pages>27-29</pages><issn>1648-8776</issn><eissn>1648-8776</eissn><abstract>In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, \|t\| < V} functions for L-functions of elliptic curves LE(s). The main statement of the paper is as follows. Let h > 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{0}. Then the probability measure μN(LE(s + imh)∈A), A ∈ B(H(DV)), converges weakly to the measure PLE as N→∞.</abstract><pub>Vilniaus Universiteto Leidykla</pub><doi>10.21277/jmd.v48i2.224</doi><tpages>3</tpages><oa>free_for_read</oa></addata></record>
fulltext	fulltext
identifier	ISSN: 1648-8776
ispartof	Jaunųjų Mokslininkų Darbai, 2018-12, Vol.48 (2 (48)), p.27-29
issn	1648-8776 1648-8776
language	eng
recordid	cdi_crossref_primary_10_21277_jmd_v48i2_224
source	EZB-FREE-00999 freely available EZB journals
subjects	Education elliptic curve L-function limit theorem Methodology and research technology weak convergence
title	A DISCRETE LIMIT THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T01%3A00%3A40IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ceeol_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20DISCRETE%20LIMIT%20THEOREM%20FOR%20L-FUNCTIONS%20OF%20ELLIPTIC%20CURVES&rft.jtitle=Jaun%C5%B3j%C5%B3%20Mokslinink%C5%B3%20Darbai&rft.au=Garbaliauskien%C4%97,%20Virginija&rft.date=2018-12-20&rft.volume=48&rft.issue=2%20(48)&rft.spage=27&rft.epage=29&rft.pages=27-29&rft.issn=1648-8776&rft.eissn=1648-8776&rft_id=info:doi/10.21277/jmd.v48i2.224&rft_dat=%3Cceeol_cross%3E1023201%3C/ceeol_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ceeol_id=1023201&rft_doaj_id=oai_doaj_org_article_b390c75d85594064889fc304ac45e84e&rfr_iscdi=true