{"id":"https://openalex.org/W7214717288","doi":"https://doi.org/10.48550/arxiv.2609.34165","title":"Exceptional poles of archimedean Asai $L$-functions","display_name":"Exceptional poles of archimedean Asai $L$-functions","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214717288","doi":"https://doi.org/10.48550/arxiv.2609.34165"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.34165","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34165","pdf_url":"https://arxiv.org/pdf/2609.34165","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.34165","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5098973114","display_name":"Akash Yadav","orcid":"https://orcid.org/0009-0000-8137-1732","observed_orcids":["https://orcid.org/0009-0000-8137-1732"]},"institutions":[{"id":"https://openalex.org/I138925566","display_name":"Ewha Womans University","ror":"https://ror.org/053fp5c05","country_code":"KR","type":"education","lineage":["https://openalex.org/I138925566"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Yadav, Akash","raw_affiliation_strings":["( A. YADAV ) HUMAN-CENTERED ARTIFICIAL INTELLIGENCE RESEARCH INSTITUTE , EWHA WOMANS UNIVERSITY , SEOUL 03760 , REPUBLIC OF KOREA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"( A. YADAV ) HUMAN-CENTERED ARTIFICIAL INTELLIGENCE RESEARCH INSTITUTE , EWHA WOMANS UNIVERSITY , SEOUL 03760 , REPUBLIC OF KOREA","institution_ids":["https://openalex.org/I138925566"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5098973114"],"corresponding_institution_ids":["https://openalex.org/I138925566"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/general-position","display_name":"general position","score":0.5339999794960022}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5532000064849854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5121999979019165},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5051000118255615},{"id":"https://openalex.org/C15376144","wikidata":"https://www.wikidata.org/wiki/Q2989575","display_name":"Irreducible element","level":5,"score":0.4693000018596649},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.4352000057697296},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.36629998683929443},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.34165","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34165","pdf_url":"https://arxiv.org/pdf/2609.34165","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.34165","doi":"https://doi.org/10.48550/arxiv.2609.34165","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.34165","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.34165","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34165","pdf_url":"https://arxiv.org/pdf/2609.34165","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214717288.pdf","grobid_xml":"https://content.openalex.org/works/W7214717288.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W7127073582","https://openalex.org/W7156319486","https://openalex.org/W7164353831","https://openalex.org/W7203439945"],"related_works":["https://openalex.org/W2083208797","https://openalex.org/W7095349332","https://openalex.org/W7100579337","https://openalex.org/W7156319486","https://openalex.org/W4399259270","https://openalex.org/W3099135983","https://openalex.org/W1529565679","https://openalex.org/W30171577","https://openalex.org/W1614315676","https://openalex.org/W2032570506"],"abstract_inverted_index":{"Let":[0],"$\u03c0$":[1,28],"be":[2],"an":[3],"irreducible":[4,46],"generic":[5],"representation":[6],"of":[7,14,25,39,52],"$\\operatorname{GL}_n(\\mathbb{C})$.":[8],"We":[9],"classify":[10],"the":[11,15,40,45,50],"exceptional":[12,41],"poles":[13],"associated":[16],"Asai":[17],"$L$-function":[18],"$L(s,\u03c0,\\mathrm{As})$":[19,36],"and":[20],"give":[21],"a":[22],"representation-theoretic":[23],"characterization":[24],"them.":[26],"When":[27],"is":[29],"in":[30,37,49],"general":[31],"position,":[32],"we":[33],"further":[34],"express":[35],"terms":[38],"$L$-factors":[42],"attached":[43],"to":[44],"constituents":[47],"occurring":[48],"derivatives":[51],"$\u03c0$.":[53]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}