There Exist Non-CM Hilbert Modular Forms of Partial Weight 1
In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).
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 | Moy, Richard A Specter, Joel |
description | In this note, we prove that there exists a classical Hilbert modular cusp
form over Q(\sqrt{5}) of partial weight one which does not arise from the
induction of a Grossencharacter from a CM extension of Q(\sqrt{5}). |
doi_str_mv | 10.48550/arxiv.1407.3872 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1407_3872</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1407_3872</sourcerecordid><originalsourceid>FETCH-LOGICAL-a652-7857f6cd50b12944368787ed90a2e5069abc23a95bbf2b548a05b01febe02bc33</originalsourceid><addsrcrecordid>eNotj7tOwzAUQL10QIWdCd0fSLh-xY7EUkUtRWqBIVLH6DqxW0spQU5A5e9RH9PZjs5h7JFjrqzW-EzpFH9zrtDk0hpxx17qg08elqc4TvA-fGXVFtaxdz5NsB26n54SrIZ0HGEI8ElpitTDzsf9YQJ-z2aB-tE_3Dhn9WpZV-ts8_H6Vi02GRVaZMZqE4q20-i4KJWShTXW-K5EEl5jUZJrhaRSOxeE08oSaoc8eOdRuFbKOXu6ai_1zXeKR0p_zfmiOV_If0jhQEQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>There Exist Non-CM Hilbert Modular Forms of Partial Weight 1</title><source>arXiv.org</source><creator>Moy, Richard A ; Specter, Joel</creator><creatorcontrib>Moy, Richard A ; Specter, Joel</creatorcontrib><description>In this note, we prove that there exists a classical Hilbert modular cusp
form over Q(\sqrt{5}) of partial weight one which does not arise from the
induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).</description><identifier>DOI: 10.48550/arxiv.1407.3872</identifier><language>eng</language><subject>Mathematics - Number Theory</subject><creationdate>2014-07</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/1407.3872$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1407.3872$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Moy, Richard A</creatorcontrib><creatorcontrib>Specter, Joel</creatorcontrib><title>There Exist Non-CM Hilbert Modular Forms of Partial Weight 1</title><description>In this note, we prove that there exists a classical Hilbert modular cusp
form over Q(\sqrt{5}) of partial weight one which does not arise from the
induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).</description><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7tOwzAUQL10QIWdCd0fSLh-xY7EUkUtRWqBIVLH6DqxW0spQU5A5e9RH9PZjs5h7JFjrqzW-EzpFH9zrtDk0hpxx17qg08elqc4TvA-fGXVFtaxdz5NsB26n54SrIZ0HGEI8ElpitTDzsf9YQJ-z2aB-tE_3Dhn9WpZV-ts8_H6Vi02GRVaZMZqE4q20-i4KJWShTXW-K5EEl5jUZJrhaRSOxeE08oSaoc8eOdRuFbKOXu6ai_1zXeKR0p_zfmiOV_If0jhQEQ</recordid><startdate>20140714</startdate><enddate>20140714</enddate><creator>Moy, Richard A</creator><creator>Specter, Joel</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20140714</creationdate><title>There Exist Non-CM Hilbert Modular Forms of Partial Weight 1</title><author>Moy, Richard A ; Specter, Joel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a652-7857f6cd50b12944368787ed90a2e5069abc23a95bbf2b548a05b01febe02bc33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Moy, Richard A</creatorcontrib><creatorcontrib>Specter, Joel</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Moy, Richard A</au><au>Specter, Joel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>There Exist Non-CM Hilbert Modular Forms of Partial Weight 1</atitle><date>2014-07-14</date><risdate>2014</risdate><abstract>In this note, we prove that there exists a classical Hilbert modular cusp
form over Q(\sqrt{5}) of partial weight one which does not arise from the
induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).</abstract><doi>10.48550/arxiv.1407.3872</doi><oa>free_for_read</oa></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | DOI: 10.48550/arxiv.1407.3872 |
ispartof | |
issn | |
language | eng |
recordid | cdi_arxiv_primary_1407_3872 |
source | arXiv.org |
subjects | Mathematics - Number Theory |
title | There Exist Non-CM Hilbert Modular Forms of Partial Weight 1 |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T15%3A01%3A38IST&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=There%20Exist%20Non-CM%20Hilbert%20Modular%20Forms%20of%20Partial%20Weight%201&rft.au=Moy,%20Richard%20A&rft.date=2014-07-14&rft_id=info:doi/10.48550/arxiv.1407.3872&rft_dat=%3Carxiv_GOX%3E1407_3872%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 |