{"id":"https://openalex.org/W2167548011","doi":"https://doi.org/10.1112/jlms/jdw045","title":"On certain finiteness questions in the arithmetic of modular forms","display_name":"On certain finiteness questions in the arithmetic of modular forms","publication_year":2016,"publication_date":"2016-07-22","ids":{"openalex":"https://openalex.org/W2167548011","doi":"https://doi.org/10.1112/jlms/jdw045","mag":"2167548011"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdw045","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdw045","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1408.3249","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011429710","display_name":"Ian Kiming","orcid":"https://orcid.org/0000-0003-0376-9870"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"I. Kiming","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen \u00d8, Denmark,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen \u00d8, Denmark,","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014414512","display_name":"Nadim Rustom","orcid":"https://orcid.org/0000-0001-9577-9843"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"N. Rustom","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen \u00d8, Denmark,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen \u00d8, Denmark,","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026418623","display_name":"Gabor Wiese","orcid":"https://orcid.org/0000-0001-5106-6737"},"institutions":[{"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":["LU"],"is_corresponding":false,"raw_author_name":"G. Wiese","raw_affiliation_strings":["Universit\u00e9 du Luxembourg, Facult\u00e9 des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove\u2010Kalergi, L-1359 Luxembourg, Luxembourg,"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Luxembourg, Facult\u00e9 des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove\u2010Kalergi, L-1359 Luxembourg, Luxembourg,","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011429710"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":3.2007,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90239392,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"94","issue":"2","first_page":"479","last_page":"502"},"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":0.9962000250816345,"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":0.992900013923645,"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/modulo","display_name":"Modulo","score":0.888229489326477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8285928964614868},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7918336391448975},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.6928163170814514},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6801877617835999},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.5659376978874207},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45584219694137573},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.4452993869781494},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3188972473144531},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3098037838935852}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.888229489326477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8285928964614868},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7918336391448975},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.6928163170814514},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6801877617835999},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.5659376978874207},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45584219694137573},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.4452993869781494},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3188972473144531},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3098037838935852}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1112/jlms/jdw045","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdw045","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1408.3249","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.3249","pdf_url":"https://arxiv.org/pdf/1408.3249","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":"pmh:oai:CiteSeerX.psu:10.1.1.758.8684","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.8684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1408.3249.pdf","raw_type":"text"},{"id":"pmh:oai:open-archive.highwire.org:jlms:94/2/479","is_oa":false,"landing_page_url":"http://jlms.oxfordjournals.org/cgi/content/short/94/2/479","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"},{"id":"pmh:oai:orbilu.uni.lu:10993/19221","is_oa":true,"landing_page_url":"http://jlms.oxfordjournals.org/cgi/content/full/jdw045?ijkey=W0QMjjze99Mhjev&keytype=ref","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the London Mathematical Society, 94 (2), 479-502 (2016)","raw_type":"peer reviewed"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/64908f38-2f88-425d-b87d-bb1cbd872987","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/64908f38-2f88-425d-b87d-bb1cbd872987","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kiming , I , Rustom , N & Wiese , G 2016 , ' On certain finiteness questions in the arithmetic of modular forms ' , Journal of the London Mathematical Society , vol. 94 , no. 2 , pp. 479-502 . https://doi.org/10.1112/jlms/jdw045","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1408.3249","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.3249","pdf_url":"https://arxiv.org/pdf/1408.3249","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W68690744","https://openalex.org/W162022780","https://openalex.org/W372892138","https://openalex.org/W603141592","https://openalex.org/W828395464","https://openalex.org/W856879164","https://openalex.org/W1484733457","https://openalex.org/W1508173874","https://openalex.org/W1537136047","https://openalex.org/W1544303430","https://openalex.org/W1555949566","https://openalex.org/W1572523988","https://openalex.org/W1614901825","https://openalex.org/W1632604338","https://openalex.org/W1670698815","https://openalex.org/W1976677460","https://openalex.org/W2010146289","https://openalex.org/W2011968326","https://openalex.org/W2016657720","https://openalex.org/W2020258282","https://openalex.org/W2021459126","https://openalex.org/W2022293143","https://openalex.org/W2025332652","https://openalex.org/W2054375684","https://openalex.org/W2089836668","https://openalex.org/W2133593195","https://openalex.org/W2149054972","https://openalex.org/W2150901086","https://openalex.org/W2167548011","https://openalex.org/W2181358771","https://openalex.org/W2188815284","https://openalex.org/W2277535877","https://openalex.org/W2284353402","https://openalex.org/W2763538721","https://openalex.org/W2962926270","https://openalex.org/W2963628368","https://openalex.org/W3098053434","https://openalex.org/W3099474398","https://openalex.org/W3103683717","https://openalex.org/W4205749282","https://openalex.org/W4210695869","https://openalex.org/W4231383362","https://openalex.org/W4243024374","https://openalex.org/W4285719527","https://openalex.org/W7014841986"],"related_works":["https://openalex.org/W2698071152","https://openalex.org/W2177966018","https://openalex.org/W2772686784","https://openalex.org/W4302423208","https://openalex.org/W3087194925","https://openalex.org/W3104344759","https://openalex.org/W4288118777","https://openalex.org/W3152691454","https://openalex.org/W2081263693","https://openalex.org/W2161718895"],"abstract_inverted_index":{"We":[0,22,77],"investigate":[1],"certain":[2],"finiteness":[3,25,84],"questions":[4],"that":[5],"arise":[6],"naturally":[7],"when":[8],"studying":[9],"approximations":[10],"modulo":[11,64],"prime":[12,49],"powers":[13],"of":[14,37,62,67,81,90],"p-adic":[15,34],"Galois":[16],"representations":[17],"coming":[18],"from":[19],"modular":[20],"forms.":[21],"link":[23],"these":[24],"statements":[26],"with":[27,51],"a":[28,59,87],"question":[29],"by":[30],"K.":[31],"Buzzard":[32],"concerning":[33],"coefficient":[35],"fields":[36],"Hecke":[38],"eigenforms.":[39],"Specifically,":[40],"we":[41],"conjecture":[42],"that,":[43],"for":[44],"fixed":[45],"N,":[46,55],"m,":[47],"and":[48,92],"p":[50,52,65],"not":[53],"dividing":[54],"there":[56],"is":[57],"only":[58],"finite":[60],"number":[61],"reductions":[63],"m":[66],"normalized":[68],"eigenforms":[69],"on":[70],"\u0393":[71],"1":[72],"(":[73],"N":[74],")":[75],".":[76],"consider":[78],"various":[79],"variants":[80],"our":[82],"basic":[83],"conjecture,":[85],"prove":[86],"weak":[88],"version":[89],"it,":[91],"give":[93],"some":[94],"numerical":[95],"evidence.":[96]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2020-11-23T00:00:00"}
