{"id":"https://openalex.org/W7202355770","doi":"https://doi.org/10.13140/rg.2.2.29315.46880","title":"\u57fa\u4e8e Arthur \u7a33\u5b9a\u8ff9\u3001Jacquet-Langlands \u5bf9\u5e94\u4e0e\u6d4b\u5730\u6d41\u6307\u6570\u6df7\u5408 \u7684\u8c31\u5bf9\u5076\u8bba\u8bc1 --\u9ece\u66fc \u03b6 \u975e\u5e73\u51e1\u96f6\u70b9\u4e34\u754c\u7ebf\u8bf4\u660e \u82f1\u6587\u6807\u9898 Spectral Duality via Arthur's Stable Trace Formula, Jacquet-Langlands Correspondence and Exponential Mixing of Geodesic Flows: Proof for Critical Line of Non-Trivial Zeros of","display_name":"\u57fa\u4e8e Arthur \u7a33\u5b9a\u8ff9\u3001Jacquet-Langlands \u5bf9\u5e94\u4e0e\u6d4b\u5730\u6d41\u6307\u6570\u6df7\u5408 \u7684\u8c31\u5bf9\u5076\u8bba\u8bc1 --\u9ece\u66fc \u03b6 \u975e\u5e73\u51e1\u96f6\u70b9\u4e34\u754c\u7ebf\u8bf4\u660e \u82f1\u6587\u6807\u9898 Spectral Duality via Arthur's Stable Trace Formula, Jacquet-Langlands Correspondence and Exponential Mixing of Geodesic Flows: Proof for Critical Line of Non-Trivial Zeros of","publication_year":2026,"publication_date":"2026-08-13","ids":{"openalex":"https://openalex.org/W7202355770","doi":"https://doi.org/10.13140/rg.2.2.29315.46880"},"language":"de","primary_location":{"id":"doi:10.13140/rg.2.2.29315.46880","doi":"https://doi.org/10.13140/rg.2.2.29315.46880","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.29315.46880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Xudong Liu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xudong Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5147129247","display_name":"Gaoyuan Liu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gaoyuan Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5147106941","display_name":"Fang Wang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fang Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100367873","display_name":"Xiaochun Liu","orcid":"https://orcid.org/0000-0002-4865-5538","observed_orcids":["https://orcid.org/0000-0002-4865-5538"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u5218\u6653\u6625","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.70399438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9951000213623047,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9951000213623047,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.004000000189989805,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0003000000142492354,"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/riemann-zeta-function","display_name":"Riemann zeta function","score":0.8370000123977661},{"id":"https://openalex.org/keywords/nontrivial-zeros","display_name":"non-trivial zeros","score":0.9110000133514404},{"id":"https://openalex.org/keywords/critical-line","display_name":"critical line","score":0.9810000061988831},{"id":"https://openalex.org/keywords/spectral-duality","display_name":"spectral duality","score":0.9070000052452087},{"id":"https://openalex.org/keywords/jacquet-langlands-correspondence","display_name":"Jacquet-Langlands correspondence","score":1.0},{"id":"https://openalex.org/keywords/automorphic-forms","display_name":"automorphic forms","score":0.7559999823570251}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6290000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6215999722480774},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5921000242233276},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5530999898910522},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.4641000032424927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4320000112056732},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.3905999958515167},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.38089999556541443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36390000581741333},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C2776605787","wikidata":"https://www.wikidata.org/wiki/Q5186739","display_name":"Critical line","level":2,"score":0.3321000039577484},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28279998898506165},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.13140/rg.2.2.29315.46880","doi":"https://doi.org/10.13140/rg.2.2.29315.46880","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.29315.46880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7212792009","https://openalex.org/W2739635102","https://openalex.org/W7162757898","https://openalex.org/W7204031896","https://openalex.org/W7170801692","https://openalex.org/W2333276823","https://openalex.org/W7096910749","https://openalex.org/W7172283016","https://openalex.org/W7167678948","https://openalex.org/W7168152511"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-14T00:00:00"}
