{“id”:“https://openalex.org/W2907910466“,”doi“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”title“:”广义库伦数的\ud835\udc42\u0303(log\u00b2(\ud835\udc41))时间素性测试“,”display_name“:”广义库伦数的\ud835\udc42\u0303(log\u00b2(\ud835\udc41))时间素性测试“,”publication_year“:2011,”publication_date“:”2011-03-11“,”ids“:{”openalex“:”https://openalex.org/W2907910466“,”doi“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”mag“:”2907910466“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S102439543“,”display_name“:”计算数学“,”issn_l“:”0025-5718“,”isn“:[”0025-57“,”1088-6842“],”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/P4310315719“,”“host_organization_name”:“美国数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310315719“],”host_organization_lineage_names“:[”美国数学学会“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},”type“:”article“,”type_crossref“:”期刊文章“,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”hybrid“,”oa_url“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5005658480“,”display_name“:”J.M.Grau“,”orcid“:”https://orcid.org/0000-0001-7954-4067},“机构”:[{“id”:https://openalex.org/I165339363“,”display_name“:”奥维耶多大学“,”ror“:”https://ror.org/006gksa02“,”country_code“:”ES“,”type“:“教育”,”世系“:[”https://openalex.org/I165339363“]}],”国家“:[”ES“],”is_corresponding“:false,”raw_author_name“:”Jos\u00e9 Grau“,”raw _ afiliation_strings“:[“奥维多大学数学系,Avda.Calvo Sotelo s/n,33007,西班牙奥维多”]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5001130113“,”display_name“:”Antonio M.Oller\u2010Marc\u00e9n“,”orcid“:”https://orcid.org/0000-0002-8191-3199},“机构”:[{“id”:https://openalex.org/I255234318“,”display_name“:”萨拉戈萨大学“,”ror“:”https://ror.org/012a91z28“,”country_code“:”ES“,”type“:“教育”,”世系“:[”https://openalex.org/I255234318“]}],”countries“:[”ES“],”is_corresponding“:false,”raw_author_name“:”Antonio Oller-Marc\u00e9n“,”raw _affiliation_strings“:【”萨拉戈萨大学数学系,C/Pedro Cerbuna 12,50009,西班牙萨拉戈萨“]}】,“countries_distiction_count”:1,“institutions_distition_count“:2,”corresponding_author_ids“:[],”correcponding_instition_ids],“apc_list“:null,”apc_payd“:nul,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count“:6,”cited_by_percentile_year“:{”min“:84,”max“:85},”biblio“:{“volume”:“80”,“issue”:“276”,“first_page”:“2315”,“last_page”:”2323“},“is_retracted”:false,“is_paratext”:false,“primary_topic”:{“id”:“https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9993,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9993,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10948“,”“display_name”:“组合数学与代数组合数学”,“score”:0.9977,“subfield”:{“id”:“https://openalex.org/subfields/2607“,”display_name“:”离散数学与组合数学“},”field“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11130“,”display_name“:”加密和纠错代码“,”score“:0.9975,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/boolean-functions网站“,”display_name“:”布尔函数“,”score“:0.461202}],”concepts“:[{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.5585913},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.33563682},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.28956452},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.26339543}],”mesh“:[],”locations_count“:3,”location“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S102439543“,”display_name“:”计算数学“,”issn_l“:”0025-5718“,”isn“:[”0025-57“,”1088-6842“],”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/P4310315719“,”“host_organization_name”:“美国数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310315719“],”host_organization_lineage_names“:[”美国数学学会“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},{”is_oa“:true,”landing_page_url“:”http://hdl.handle.net/10651/10978,“pdf_url”:https://digibuo.uniovi.es/dspace/bitstream/10651/10978/1/10181.pdf,“源”:{“id”:https://openalex.org/S4306402334“,”display_name“:”博士论文数据库(TESEO)咨询(Ministerio de Educaci\u00f3n,Cultura y Deporte)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_in_doaj“:false,”host_organization“:”https://openalex.org/I2801976130“,”“host_organization_name”:“教育部\u00f3n文化部”,“host_organization_lineage”:[“https://openalex.org/I2801976130“],”host_organization_lineage_names“:[”Ministerio de Educaci\u00f3n Cultura y Deporte“],“type”:“repository”},“license”:“public-domain”,“licence_id”:“https://openalex.org/licenses/public-domain网站“,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false},{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/1007.0929,“pdf_url”:https://arxiv.org/pdf/1007.0929,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:“public-domain”,“licence_id”:“https://openalex.org/licenses/public-domain网站“,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false}],”best_oa_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1090/s0025-5718-2011-02489-0“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S102439543“,”display_name“:”计算数学“,”issn_l“:”0025-5718“,”isn“:[”0025-57“,”1088-6842“],”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/P4310315719“,”“host_organization_name”:“美国数学学会”,“host_ordanization_lineage”:[“https://openalex.org/P4310315719“],”host_organization_lineage_names“:[”美国数学学会“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},”sustainable_development_goals“:[],”grants“:[],”datasets“:],”versions“:[https://openalex.org/W1975619520","https://openalex.org/W2037760388","https://openalex.org/W2043282135","https://openalex.org/W2083368929","https://openalex.org/W2105443299","https://openalex.org/W2159341052","https://openalex.org/W2329291360","https://openalex.org/W2485612788","https://openalex.org/W4206503652","https://openalex.org/W4214850390","https://openalex.org/W4238450524","https://openalex.org/W4254280462“],”related_works“:[”https://openalex.org/W4313731559","https://openalex.org/W2989452537","https://openalex.org/W2544423928","https://openalex.org/W2187401768","https://openalex.org/W2181743346","https://openalex.org/W2181413294","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2052122378","https://openalex.org/W2051487156“],”ngrams_url“:”https://api.openalex.org/works/W2907910466/ngrams网站“,”“abstract_inverted_index”:{“Generalized”:[0265355],“Cullen”:[1,64266356],“Numbers”:[2,65267],“are”:[3],“positive”:[4],“integers”:[5],“of”:[6,63,74,85264354],“the”:[7,82261352],“form”:[8],“":[10,91,149,187,200,217,233,293],"":[28,157],"“:[291018158191204221237309],”":[30,109,159,310],"":[31],"C类“:[32],”b条":[33,43,115,137,162,192,222],"":[34],"(":[36,127,322,331],"n个“:[37,41,44111118160163205238],”strethy=\“false\”>)":[39,134,334,336],":=":[40],"":[42,110,114,132,161,323],"":[45,120,122,139,164,326],"+":[46,165],"1":[47,131,166],"":[48,119,121,138,140,167,320,337],"C_b(n):=nb^n+1":[50],"":[51,144,170,195,208,225,241,342],"":[52,145,171,196,209,226,242,343],".“:[53],“In”:[54],“this”:[55,72,88246],“work”:56],“we”:57],“generalize”:[58],“some”:[59],“known”:[60],“divisibility”:[61],“properties”:[62],“and”:[66176198211],“present”:[67271],“two”:[68],“primarity”:[69],“tests”:[70285],“for”:[71245277],“family”:[73],“整数。“:[75],”The“:[76],”first“:[77],”test“:[78183214248276],”is“:[79174228],”based“:[80],”in“:[81291351],”following“:[83],”property“:[84],”primes“:[86],”from“:[87],”family:“:[89],”alttext=\“n”:[94152],”Super“:[97],”identical-to“:[101],”negative“:[103],”“1”:[104],“b\”>“:[107],”":[113,117,136,312],"\u2261型":[125,130,318,329],"\u2212型