{"id":"https://openalex.org/W2200079519","doi":"https://doi.org/10.1080/10586458.2016.1142912","title":"On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field","display_name":"On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field","publication_year":2016,"publication_date":"2016-08-03","ids":{"openalex":"https://openalex.org/W2200079519","doi":"https://doi.org/10.1080/10586458.2016.1142912","mag":"2200079519"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2016.1142912","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1142912","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5085114181","display_name":"Jasper Van Hirtum","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]},{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["BE","LU"],"is_corresponding":true,"raw_author_name":"Jasper Van Hirtum","raw_affiliation_strings":["Department of Mathematics, KU Leuven, Heverlee, Belgium","Mathematics Research Unit FSTC, Universit\u00e9 du Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, KU Leuven, Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Mathematics Research Unit FSTC, Universit\u00e9 du Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085114181"],"corresponding_institution_ids":["https://openalex.org/I186903577","https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02853598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"2","first_page":"165","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9988999962806702,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9988999962806702,"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":0.9986000061035156,"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/T10849","display_name":"Finite Group Theory Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.8915135860443115},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5919872522354126},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5527104139328003},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5503548383712769},{"id":"https://openalex.org/keywords/quadratic-form","display_name":"Quadratic form (statistics)","score":0.5163794755935669},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5072492957115173},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5032228827476501},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35061657428741455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.279901921749115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2460635006427765},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18222180008888245},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14797458052635193}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8915135860443115},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5919872522354126},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5527104139328003},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5503548383712769},{"id":"https://openalex.org/C152022596","wikidata":"https://www.wikidata.org/wiki/Q7268361","display_name":"Quadratic form (statistics)","level":2,"score":0.5163794755935669},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5072492957115173},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5032228827476501},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35061657428741455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.279901921749115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2460635006427765},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18222180008888245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14797458052635193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2016.1142912","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1142912","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/570785","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/bitstream/123456789/570785/1/VanHirtumOntheDistributionofFrobeniusofWeight2EigenformswithQuadraticCoefficientField.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, vol. 26 (2), (165-188)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W40577338","https://openalex.org/W1124009562","https://openalex.org/W1801114627","https://openalex.org/W2021067716","https://openalex.org/W2032846796","https://openalex.org/W2042383482","https://openalex.org/W2074757483","https://openalex.org/W2113691522","https://openalex.org/W2156706945","https://openalex.org/W3103345738","https://openalex.org/W3106396735","https://openalex.org/W3106479979","https://openalex.org/W4237540854"],"related_works":["https://openalex.org/W1638654081","https://openalex.org/W4255530064","https://openalex.org/W4252367085","https://openalex.org/W4301465988","https://openalex.org/W2128141353","https://openalex.org/W2047406140","https://openalex.org/W4289097017","https://openalex.org/W2352916597","https://openalex.org/W2964167410","https://openalex.org/W2043832110"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,49,61],"present":[4,50],"a":[5,25,29,37],"heuristic":[6],"model":[7,57],"that":[8,20],"describes":[9],"the":[10,14,21,34,59],"asymptotic":[11],"behavior":[12],"of":[13,16,24,36],"number":[15],"primes":[17],"p":[18],"such":[19],"pth":[22],"coefficient":[23,43],"given":[26],"eigenform":[27,40],"is":[28],"rational":[30],"integer.":[31],"We":[32],"treat":[33],"case":[35],"weight":[38],"2":[39],"with":[41,55],"quadratic":[42],"field":[44],"without":[45],"inner":[46],"twists.":[47],"Moreover,":[48],"numerical":[51],"data":[52],"which":[53],"agree":[54],"our":[56],"and":[58],"assumptions":[60],"made":[62],"to":[63],"obtain":[64],"it.":[65]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}