{"id":"https://openalex.org/W4400813403","doi":"https://doi.org/10.1090/mcom/4005","title":"Multiplicity of nontrivial zeros of primitive \ud835\udc3f-functions via higher-level correlations","display_name":"Multiplicity of nontrivial zeros of primitive \ud835\udc3f-functions via higher-level correlations","publication_year":2024,"publication_date":"2024-07-19","ids":{"openalex":"https://openalex.org/W4400813403","doi":"https://doi.org/10.1090/mcom/4005"},"language":"lv","primary_location":{"id":"doi:10.1090/mcom/4005","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4005","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5011072024","display_name":"Felipe Gon\u00e7alves","orcid":"https://orcid.org/0000-0001-5433-9016"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Felipe Gon\u00e7alves","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061628061","display_name":"David de Laat","orcid":"https://orcid.org/0000-0002-5178-1906"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David de Laat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5060251834","display_name":"Nando Leijenhorst","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nando Leijenhorst","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011072024"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18764846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"94","issue":"354","first_page":"2041","last_page":"2058"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9847000241279602,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/multiplicity","display_name":"Multiplicity (mathematics)","score":0.7943936586380005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5603724718093872},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37585344910621643},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3306037485599518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1965126395225525}],"concepts":[{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.7943936586380005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5603724718093872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37585344910621643},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3306037485599518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1965126395225525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4005","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4005","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W32649130","https://openalex.org/W1596185498","https://openalex.org/W1841446803","https://openalex.org/W1849182762","https://openalex.org/W1963701208","https://openalex.org/W1982331246","https://openalex.org/W1998949538","https://openalex.org/W2005102197","https://openalex.org/W2044551895","https://openalex.org/W2052851820","https://openalex.org/W2055993677","https://openalex.org/W2062248625","https://openalex.org/W2068184834","https://openalex.org/W2139980305","https://openalex.org/W2171085032","https://openalex.org/W2291169780","https://openalex.org/W2293602123","https://openalex.org/W2516913948","https://openalex.org/W2787714776","https://openalex.org/W2806885309","https://openalex.org/W2941479952","https://openalex.org/W2963448690","https://openalex.org/W2964339334","https://openalex.org/W2990130760","https://openalex.org/W3099238573","https://openalex.org/W3101566861","https://openalex.org/W3104095512","https://openalex.org/W3104302389","https://openalex.org/W3105347305","https://openalex.org/W3200120245","https://openalex.org/W4241271931","https://openalex.org/W4241324437","https://openalex.org/W4243185891","https://openalex.org/W4246486153","https://openalex.org/W6814994134","https://openalex.org/W6822592436"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W4378765297","https://openalex.org/W4230581126","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0],"give":[1],"universal":[2],"bounds":[3],"on":[4],"the":[5,86],"fraction":[6],"of":[7,34,90],"nontrivial":[8],"zeros":[9],"having":[10],"given":[11],"multiplicity":[12],"for":[13],"<inline-formula":[14,35],"content-type=\"math/mathml\">":[15,36],"<mml:math":[16,37],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,38],"alttext=\"upper":[18],"L\">":[19],"<mml:semantics>":[20,52],"<mml:mi>L</mml:mi>":[21],"<mml:annotation":[22,74],"encoding=\"application/x-tex\">L</mml:annotation>":[23],"</mml:semantics>":[24,78],"</mml:math>":[25,79],"</inline-formula>":[26,80],"-functions":[27],"attached":[28],"to":[29],"a":[30],"cuspidal":[31],"automorphic":[32],"representation":[33],"alttext=\"normal":[39],"upper":[40,43,50],"G":[41],"normal":[42],"L":[44],"Subscript":[45],"m":[46],"Baseline":[47],"slash":[48],"double-struck":[49],"Q\">":[51],"<mml:mrow>":[53],"<mml:msub>":[54],"<mml:mrow":[55,64,68],"class=\"MJX-TeXAtom-ORD\">":[56,65,69],"<mml:mi":[57,59,70],"mathvariant=\"normal\">G</mml:mi>":[58],"mathvariant=\"normal\">L</mml:mi>":[60],"</mml:mrow>":[61,67,72,73],"<mml:mi>m</mml:mi>":[62],"</mml:msub>":[63],"<mml:mo>/</mml:mo>":[66],"mathvariant=\"double-struck\">Q</mml:mi>":[71],"encoding=\"application/x-tex\">\\mathrm":[75],"{GL}_m/\\mathbb":[76],"{Q}</mml:annotation>":[77],".":[81],"For":[82],"this,":[83],"we":[84],"apply":[85],"higher-level":[87],"correlation":[88],"asymptotic":[89],"Hejhal,":[91],"Rudnick,":[92],"and":[93],"Sarnak":[94],"in":[95],"conjunction":[96],"with":[97],"semidefinite":[98],"programming":[99],"bounds.":[100]},"counts_by_year":[],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2024-07-20T00:00:00"}
