{"id":"https://openalex.org/W377923977","doi":"https://doi.org/10.1007/978-3-319-32162-2_2","title":"From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond","display_name":"From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W377923977","doi":"https://doi.org/10.1007/978-3-319-32162-2_2","mag":"377923977"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-32162-2_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32162-2_2","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Problems in Mathematics","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.07481","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051073001","display_name":"Owen Barrett","orcid":"https://orcid.org/0000-0002-8930-7978"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Owen Barrett","raw_affiliation_strings":["University of Chicago, Chicago, IL, 60637, USA","University-of Chicago"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chicago, Chicago, IL, 60637, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"University-of Chicago","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035944699","display_name":"F.W.K. Firk","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank W. K. Firk","raw_affiliation_strings":["Yale University, New Haven, CT, 06520, USA","Yale University  ;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yale University, New Haven, CT, 06520, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Yale University  ;","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049983178","display_name":"Steven J. Miller","orcid":"https://orcid.org/0000-0003-4904-4605"},"institutions":[{"id":"https://openalex.org/I22675022","display_name":"Williams College","ror":"https://ror.org/04avkmd49","country_code":"US","type":"education","lineage":["https://openalex.org/I22675022"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven J. Miller","raw_affiliation_strings":["Williams College, Williamstown, MA, 01267, USA","Williams College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Williams College, Williamstown, MA, 01267, USA","institution_ids":["https://openalex.org/I22675022"]},{"raw_affiliation_string":"Williams College","institution_ids":["https://openalex.org/I22675022"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030979778","display_name":"Caroline L. Turnage\u2010Butterbaugh","orcid":"https://orcid.org/0000-0002-5508-1392"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Caroline Turnage-Butterbaugh","raw_affiliation_strings":["Duke University, Durham, NC, 27708, USA","Duke University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University, Durham, NC, 27708, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Duke University","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9387,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74717833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":1.0,"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":1.0,"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/T11428","display_name":"Advanced Mathematical Identities","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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9987999796867371,"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-hypothesis","display_name":"Riemann hypothesis","score":0.7485367059707642},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.7269370555877686},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5172443985939026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4959035813808441},{"id":"https://openalex.org/keywords/riemann-zeta-function","display_name":"Riemann zeta function","score":0.4565243124961853},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3968392312526703},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39021462202072144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3390193581581116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32032692432403564},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28505292534828186},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2058766782283783},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06985270977020264}],"concepts":[{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.7485367059707642},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.7269370555877686},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5172443985939026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4959035813808441},{"id":"https://openalex.org/C35235930","wikidata":"https://www.wikidata.org/wiki/Q187235","display_name":"Riemann zeta function","level":2,"score":0.4565243124961853},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3968392312526703},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39021462202072144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3390193581581116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32032692432403564},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28505292534828186},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2058766782283783},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06985270977020264}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-319-32162-2_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32162-2_2","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Problems in Mathematics","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1505.07481","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.07481","pdf_url":"https://arxiv.org/pdf/1505.07481","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:377923977","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.07481.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.6437","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.6437","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.williams.edu/Mathematics/sjmiller/public_html/math/papers/NTandQM_BMTB60arxiv.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1505.07481","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.07481","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.07481","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.07481","pdf_url":"https://arxiv.org/pdf/1505.07481","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"score":0.6700000166893005,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":120,"referenced_works":["https://openalex.org/W43060627","https://openalex.org/W134647183","https://openalex.org/W586135738","https://openalex.org/W602904462","https://openalex.org/W605370605","https://openalex.org/W1011068223","https://openalex.org/W1489757789","https://openalex.org/W1498769399","https://openalex.org/W1515707107","https://openalex.org/W1535638438","https://openalex.org/W1536617009","https://openalex.org/W1538733621","https://openalex.org/W1546795849","https://openalex.org/W1585954501","https://openalex.org/W1608365951","https://openalex.org/W1622715571","https://openalex.org/W1641585650","https://openalex.org/W1664974228","https://openalex.org/W1849182762","https://openalex.org/W1966171299","https://openalex.org/W1971247849","https://openalex.org/W1971470118","https://openalex.org/W1973335304","https://openalex.org/W1974254497","https://openalex.org/W1975334838","https://openalex.org/W1976468324","https://openalex.org/W1983850647","https://openalex.org/W1985289694","https://openalex.org/W1990217444","https://openalex.org/W1991406426","https://openalex.org/W1997324427","https://openalex.org/W2001311207","https://openalex.org/W2002016894","https://openalex.org/W2004961068","https://openalex.org/W2006056381","https://openalex.org/W2007592987","https://openalex.org/W2013551140","https://openalex.org/W2023097252","https://openalex.org/W2027889564","https://openalex.org/W2028022280","https://openalex.org/W2028363996","https://openalex.org/W2028558540","https://openalex.org/W2031059856","https://openalex.org/W2032042973","https://openalex.org/W2032809015","https://openalex.org/W2035574403","https://openalex.org/W2038547964","https://openalex.org/W2038777690","https://openalex.org/W2039329898","https://openalex.org/W2040790258","https://openalex.org/W2042859738","https://openalex.org/W2043906885","https://openalex.org/W2045753194","https://openalex.org/W2048166320","https://openalex.org/W2049587182","https://openalex.org/W2054407325","https://openalex.org/W2056117396","https://openalex.org/W2058854293","https://openalex.org/W2060136755","https://openalex.org/W2062065723","https://openalex.org/W2065201050","https://openalex.org/W2066400118","https://openalex.org/W2067861977","https://openalex.org/W2068184834","https://openalex.org/W2072534883","https://openalex.org/W2081328640","https://openalex.org/W2084665841","https://openalex.org/W2085531206","https://openalex.org/W2088907734","https://openalex.org/W2089643341","https://openalex.org/W2090215991","https://openalex.org/W2090282573","https://openalex.org/W2090804474","https://openalex.org/W2091500027","https://openalex.org/W2093315095","https://openalex.org/W2093577844","https://openalex.org/W2099654506","https://openalex.org/W2101367141","https://openalex.org/W2110537546","https://openalex.org/W2112364794","https://openalex.org/W2119870399","https://openalex.org/W2125173025","https://openalex.org/W2134617517","https://openalex.org/W2152226458","https://openalex.org/W2153746594","https://openalex.org/W2154725178","https://openalex.org/W2158573970","https://openalex.org/W2161638771","https://openalex.org/W2169851573","https://openalex.org/W2170694323","https://openalex.org/W2314338541","https://openalex.org/W2320598163","https://openalex.org/W2328187444","https://openalex.org/W2331118243","https://openalex.org/W2418768960","https://openalex.org/W2477451100","https://openalex.org/W2480144077","https://openalex.org/W2604330053","https://openalex.org/W2727420541","https://openalex.org/W2950080470","https://openalex.org/W2952102052","https://openalex.org/W2963046189","https://openalex.org/W2964135202","https://openalex.org/W3027962079","https://openalex.org/W3101551588","https://openalex.org/W3104482160","https://openalex.org/W3104775038","https://openalex.org/W3122748984","https://openalex.org/W3175367423","https://openalex.org/W3194447979","https://openalex.org/W4210594936","https://openalex.org/W4241271931","https://openalex.org/W4241324437","https://openalex.org/W4243997607","https://openalex.org/W4244651065","https://openalex.org/W4246973793","https://openalex.org/W6630825328","https://openalex.org/W6636325424","https://openalex.org/W6821740996","https://openalex.org/W6824173997"],"related_works":["https://openalex.org/W2095048283","https://openalex.org/W139097004","https://openalex.org/W948034686","https://openalex.org/W2727298263","https://openalex.org/W1998570004","https://openalex.org/W2522780039","https://openalex.org/W2244810736","https://openalex.org/W1531724972","https://openalex.org/W2464967571","https://openalex.org/W2898810427","https://openalex.org/W2802646819","https://openalex.org/W2280157229","https://openalex.org/W583937452","https://openalex.org/W3163623410","https://openalex.org/W2888911936","https://openalex.org/W2014412164","https://openalex.org/W2183472427","https://openalex.org/W3092562978","https://openalex.org/W2104509608","https://openalex.org/W2318254274"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}