Loading…
Algebraicity of the central critical values of twisted triple product L-functions
We study the algebraicity of the central critical values of twisted triple product L -functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theo...
Saved in:
| Published in: | Annales mathématiques du Québec 2023-10, Vol.47 (2), p.403-442 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Citations: | Items that this one cites |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| cited_by | |
|---|---|
| cites | cdi_FETCH-LOGICAL-c309t-a79c3d8663ad36af58285e45533ab254aa7118f89446c34b3fa2cebbd345e6973 |
| container_end_page | 442 |
| container_issue | 2 |
| container_start_page | 403 |
| container_title | Annales mathématiques du Québec |
| container_volume | 47 |
| creator | Chen, Shih-Yu |
| description | We study the algebraicity of the central critical values of twisted triple product
L
-functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theory of coherent cohomology on quaternionic Shimura varieties developed by Harris. As an application, we generalize our previous result with Cheng on Deligne’s conjecture for certain automorphic
L
-functions for
GL
3
×
GL
2
. |
| doi_str_mv | 10.1007/s40316-021-00169-3 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2868759098</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2868759098</sourcerecordid><originalsourceid>FETCH-LOGICAL-c309t-a79c3d8663ad36af58285e45533ab254aa7118f89446c34b3fa2cebbd345e6973</originalsourceid><addsrcrecordid>eNp9kE9LAzEQxYMoWGq_gKcFz9Ekk2STYyn-g4IIeg7ZbLZG1t2aZJV-e2MrevM0D-a9mccPoXNKLikh9VXiBKjEhFFMCJUawxGaMaoF5rWE418txClapBQawkAyTUHP0OOy3_gm2uBC3lVjV-UXXzk_5Gj7ysWQgyviw_aTT_v1Z0jZt1WOYdv7ahvHdnK5WuNuGlwO45DO0Eln--QXP3OOnm-un1Z3eP1we79arrEDojO2tXbQKinBtiBtJxRTwnMhAGzDBLe2plR1SnMuHfAGOsucb5oWuPBS1zBHF4e7pcN7aZfN6zjFobw0TElVC020Ki52cLk4phR9Z7YxvNm4M5SYb3rmQM8UemZPz0AJwSGUinnY-Ph3-p_UFwi2cko</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2868759098</pqid></control><display><type>article</type><title>Algebraicity of the central critical values of twisted triple product L-functions</title><source>Springer Nature</source><creator>Chen, Shih-Yu</creator><creatorcontrib>Chen, Shih-Yu</creatorcontrib><description>We study the algebraicity of the central critical values of twisted triple product
L
-functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theory of coherent cohomology on quaternionic Shimura varieties developed by Harris. As an application, we generalize our previous result with Cheng on Deligne’s conjecture for certain automorphic
L
-functions for
GL
3
×
GL
2
.</description><identifier>ISSN: 2195-4755</identifier><identifier>EISSN: 2195-4763</identifier><identifier>DOI: 10.1007/s40316-021-00169-3</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Algebra ; Analysis ; Homology ; Mathematics ; Mathematics and Statistics ; Number Theory</subject><ispartof>Annales mathématiques du Québec, 2023-10, Vol.47 (2), p.403-442</ispartof><rights>Fondation Carl-Herz and Springer Nature Switzerland AG 2021</rights><rights>Fondation Carl-Herz and Springer Nature Switzerland AG 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c309t-a79c3d8663ad36af58285e45533ab254aa7118f89446c34b3fa2cebbd345e6973</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Chen, Shih-Yu</creatorcontrib><title>Algebraicity of the central critical values of twisted triple product L-functions</title><title>Annales mathématiques du Québec</title><addtitle>Ann. Math. Québec</addtitle><description>We study the algebraicity of the central critical values of twisted triple product
L
-functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theory of coherent cohomology on quaternionic Shimura varieties developed by Harris. As an application, we generalize our previous result with Cheng on Deligne’s conjecture for certain automorphic
L
-functions for
GL
3
×
GL
2
.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Homology</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Number Theory</subject><issn>2195-4755</issn><issn>2195-4763</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWGq_gKcFz9Ekk2STYyn-g4IIeg7ZbLZG1t2aZJV-e2MrevM0D-a9mccPoXNKLikh9VXiBKjEhFFMCJUawxGaMaoF5rWE418txClapBQawkAyTUHP0OOy3_gm2uBC3lVjV-UXXzk_5Gj7ysWQgyviw_aTT_v1Z0jZt1WOYdv7ahvHdnK5WuNuGlwO45DO0Eln--QXP3OOnm-un1Z3eP1we79arrEDojO2tXbQKinBtiBtJxRTwnMhAGzDBLe2plR1SnMuHfAGOsucb5oWuPBS1zBHF4e7pcN7aZfN6zjFobw0TElVC020Ki52cLk4phR9Z7YxvNm4M5SYb3rmQM8UemZPz0AJwSGUinnY-Ph3-p_UFwi2cko</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Chen, Shih-Yu</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20231001</creationdate><title>Algebraicity of the central critical values of twisted triple product L-functions</title><author>Chen, Shih-Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-a79c3d8663ad36af58285e45533ab254aa7118f89446c34b3fa2cebbd345e6973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Homology</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Number Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Shih-Yu</creatorcontrib><collection>CrossRef</collection><jtitle>Annales mathématiques du Québec</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Shih-Yu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Algebraicity of the central critical values of twisted triple product L-functions</atitle><jtitle>Annales mathématiques du Québec</jtitle><stitle>Ann. Math. Québec</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>47</volume><issue>2</issue><spage>403</spage><epage>442</epage><pages>403-442</pages><issn>2195-4755</issn><eissn>2195-4763</eissn><abstract>We study the algebraicity of the central critical values of twisted triple product
L
-functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theory of coherent cohomology on quaternionic Shimura varieties developed by Harris. As an application, we generalize our previous result with Cheng on Deligne’s conjecture for certain automorphic
L
-functions for
GL
3
×
GL
2
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40316-021-00169-3</doi><tpages>40</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2195-4755 |
| ispartof | Annales mathématiques du Québec, 2023-10, Vol.47 (2), p.403-442 |
| issn | 2195-4755 2195-4763 |
| language | eng |
| recordid | cdi_proquest_journals_2868759098 |
| source | Springer Nature |
| subjects | Algebra Analysis Homology Mathematics Mathematics and Statistics Number Theory |
| title | Algebraicity of the central critical values of twisted triple product L-functions |
| url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T14%3A17%3A14IST&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=Algebraicity%20of%20the%20central%20critical%20values%20of%20twisted%20triple%20product%20L-functions&rft.jtitle=Annales%20math%C3%A9matiques%20du%20Qu%C3%A9bec&rft.au=Chen,%20Shih-Yu&rft.date=2023-10-01&rft.volume=47&rft.issue=2&rft.spage=403&rft.epage=442&rft.pages=403-442&rft.issn=2195-4755&rft.eissn=2195-4763&rft_id=info:doi/10.1007/s40316-021-00169-3&rft_dat=%3Cproquest_cross%3E2868759098%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c309t-a79c3d8663ad36af58285e45533ab254aa7118f89446c34b3fa2cebbd345e6973%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2868759098&rft_id=info:pmid/&rfr_iscdi=true |