{"id":"https://openalex.org/W4415013211","doi":"https://doi.org/10.1142/s2810939225400039","title":"On murmurations and trace formulas","display_name":"On murmurations and trace formulas","publication_year":2025,"publication_date":"2025-10-10","ids":{"openalex":"https://openalex.org/W4415013211","doi":"https://doi.org/10.1142/s2810939225400039"},"language":"en","primary_location":{"id":"doi:10.1142/s2810939225400039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s2810939225400039","pdf_url":null,"source":{"id":"https://openalex.org/S4387280190","display_name":"International Journal of Data Science in the Mathematical Sciences","issn_l":"2810-9392","issn":["2810-9392","2810-9406"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Data Science in the Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072524128","display_name":"David Lowry-Duda","orcid":"https://orcid.org/0000-0002-8543-4558"},"institutions":[{"id":"https://openalex.org/I196272386","display_name":"Providence College","ror":"https://ror.org/00rxpqe74","country_code":"US","type":"education","lineage":["https://openalex.org/I196272386"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Lowry-Duda","raw_affiliation_strings":["Institute of Computational and Experimental Research in Mathematics, 121 South Main Street, Box E, Providence, RI 02903, USA"],"raw_orcid":"https://orcid.org/0000-0002-8543-4558","affiliations":[{"raw_affiliation_string":"Institute of Computational and Experimental Research in Mathematics, 121 South Main Street, Box E, Providence, RI 02903, USA","institution_ids":["https://openalex.org/I196272386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072524128"],"corresponding_institution_ids":["https://openalex.org/I196272386"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28639898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"03","issue":"02","first_page":"63","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.5504000186920166,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.5504000186920166,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.9108999967575073},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.49470001459121704},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4717999994754791},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4239000082015991},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.40560001134872437},{"id":"https://openalex.org/keywords/trace-class","display_name":"Trace class","score":0.3603000044822693}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.9108999967575073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5498999953269958},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.49470001459121704},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4717999994754791},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4239000082015991},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C131229623","wikidata":"https://www.wikidata.org/wiki/Q977297","display_name":"Trace class","level":3,"score":0.3603000044822693},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.3197000026702881},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.2782999873161316},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2615000009536743}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s2810939225400039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s2810939225400039","pdf_url":null,"source":{"id":"https://openalex.org/S4387280190","display_name":"International Journal of Data Science in the Mathematical Sciences","issn_l":"2810-9392","issn":["2810-9392","2810-9406"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Data Science in the Mathematical Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7230825717","display_name":null,"funder_award_id":"546235","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2003608551","https://openalex.org/W2017195856","https://openalex.org/W2059054152","https://openalex.org/W2072534883","https://openalex.org/W2134617517","https://openalex.org/W2963046189","https://openalex.org/W3038564223","https://openalex.org/W4206134081","https://openalex.org/W4241271931","https://openalex.org/W4303684660","https://openalex.org/W4401345361","https://openalex.org/W4406113618"],"related_works":[],"abstract_inverted_index":{"In":[0],"recent":[1],"work":[2],"with":[3],"Bober,":[4],"Booker,":[5],"Lee,":[6],"Seymour-Howell,":[7],"and":[8,21,63],"Zubrilina,":[9],"we":[10],"proved":[11],"murmuration":[12,77],"behavior":[13],"for":[14,22],"Maass":[15],"forms":[16,24],"in":[17,25],"the":[18,26,35,57],"eigenvalue":[19],"aspect":[20],"modular":[23],"weight":[27],"aspect.":[28],"Both":[29],"used":[30],"an":[31],"approach":[32],"based":[33],"on":[34],"Selberg":[36],"trace":[37,41,61],"formula.":[38],"But":[39],"different":[40,51,60],"formulas,":[42],"including":[43],"those":[44],"due":[45],"to":[46],"Kuznetsov":[47],"or":[48],"Petersson,":[49],"offer":[50],"variations.":[52],"We":[53],"examine":[54],"murmurations":[55],"from":[56],"perspective":[58],"of":[59,67],"formulas":[62],"outline":[64],"several":[65],"families":[66],"[Formula:":[68],"see":[69],"text]-functions":[70],"where":[71],"one":[72],"can":[73],"likely":[74],"prove":[75],"additional":[76],"behavior.":[78]},"counts_by_year":[],"updated_date":"2025-12-19T00:32:22.182498","created_date":"2025-10-10T00:00:00"}
