On Weil-Stark elements, II: refined Stark conjectures
The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning leading terms of Artin $L$-series and arithmetic properties of Stark elements.
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | |
container_volume | |
creator | Burns, David Castillo, Daniel Macias Seo, Soogil |
description | The theory of Weil-Stark elements is used to develop an axiomatic approach to
the formulation of refined versions of Stark's Conjecture. This gives concrete
new results concerning leading terms of Artin $L$-series and arithmetic
properties of Stark elements. |
doi_str_mv | 10.48550/arxiv.2310.10581 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2310_10581</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2310_10581</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-6336f10be2938c751d436f7ebffffa007d955b65c797585e3a392e643a48249d3</originalsourceid><addsrcrecordid>eNotjsuKwkAURHszC3H8AFf2B0y0O7dvP2Yn4iMguFCYZegkN5CZmJFOFP1746M2BaegOIyNpZgqiyhmPlyryzSGHkiBVg4Y7hr-Q1Ud7Tsf_jjVdKSma794knzzQGXVUMFfW_7f_FLenQO1n-yj9HVLo3cP2WG1PCw20Xa3ThbzbeS1kZEG0KUUGcUObG5QFqoHhrKyjxfCFA4x05gbZ9AigQcXk1bglY2VK2DIJq_bp3d6CtXRh1v68E-f_nAH8tM-UQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On Weil-Stark elements, II: refined Stark conjectures</title><source>arXiv.org</source><creator>Burns, David ; Castillo, Daniel Macias ; Seo, Soogil</creator><creatorcontrib>Burns, David ; Castillo, Daniel Macias ; Seo, Soogil</creatorcontrib><description>The theory of Weil-Stark elements is used to develop an axiomatic approach to
the formulation of refined versions of Stark's Conjecture. This gives concrete
new results concerning leading terms of Artin $L$-series and arithmetic
properties of Stark elements.</description><identifier>DOI: 10.48550/arxiv.2310.10581</identifier><language>eng</language><subject>Mathematics - Number Theory</subject><creationdate>2023-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2310.10581$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2310.10581$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Burns, David</creatorcontrib><creatorcontrib>Castillo, Daniel Macias</creatorcontrib><creatorcontrib>Seo, Soogil</creatorcontrib><title>On Weil-Stark elements, II: refined Stark conjectures</title><description>The theory of Weil-Stark elements is used to develop an axiomatic approach to
the formulation of refined versions of Stark's Conjecture. This gives concrete
new results concerning leading terms of Artin $L$-series and arithmetic
properties of Stark elements.</description><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjsuKwkAURHszC3H8AFf2B0y0O7dvP2Yn4iMguFCYZegkN5CZmJFOFP1746M2BaegOIyNpZgqiyhmPlyryzSGHkiBVg4Y7hr-Q1Ud7Tsf_jjVdKSma794knzzQGXVUMFfW_7f_FLenQO1n-yj9HVLo3cP2WG1PCw20Xa3ThbzbeS1kZEG0KUUGcUObG5QFqoHhrKyjxfCFA4x05gbZ9AigQcXk1bglY2VK2DIJq_bp3d6CtXRh1v68E-f_nAH8tM-UQ</recordid><startdate>20231016</startdate><enddate>20231016</enddate><creator>Burns, David</creator><creator>Castillo, Daniel Macias</creator><creator>Seo, Soogil</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20231016</creationdate><title>On Weil-Stark elements, II: refined Stark conjectures</title><author>Burns, David ; Castillo, Daniel Macias ; Seo, Soogil</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-6336f10be2938c751d436f7ebffffa007d955b65c797585e3a392e643a48249d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Burns, David</creatorcontrib><creatorcontrib>Castillo, Daniel Macias</creatorcontrib><creatorcontrib>Seo, Soogil</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Burns, David</au><au>Castillo, Daniel Macias</au><au>Seo, Soogil</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Weil-Stark elements, II: refined Stark conjectures</atitle><date>2023-10-16</date><risdate>2023</risdate><abstract>The theory of Weil-Stark elements is used to develop an axiomatic approach to
the formulation of refined versions of Stark's Conjecture. This gives concrete
new results concerning leading terms of Artin $L$-series and arithmetic
properties of Stark elements.</abstract><doi>10.48550/arxiv.2310.10581</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.2310.10581 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_2310_10581 |
source | arXiv.org |
subjects | Mathematics - Number Theory |
title | On Weil-Stark elements, II: refined Stark conjectures |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T20%3A41%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Weil-Stark%20elements,%20II:%20refined%20Stark%20conjectures&rft.au=Burns,%20David&rft.date=2023-10-16&rft_id=info:doi/10.48550/arxiv.2310.10581&rft_dat=%3Carxiv_GOX%3E2310_10581%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |