乐胖代购免代理版

{"id":"https://openalex.org/W1628251617","doi":"https://doi.org/10.1090/dimacs/064/01","title":"A four parameter generalization of G\u00f6llnitz\u2019s (big) partition theorem","display_name":"A four parameter generalization of G\u00f6llnitz\u2019s (big) partition theorem","publication_year":2004,"publication_date":"2004-03-30","ids":{"openalex":"https://openalex.org/W1628251617","doi":"https://doi.org/10.1090/dimacs/064/01","mag":"1628251617"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/064/01","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/math/0005157v1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083232127","display_name":"Krishnaswami Alladi","orcid":"https://orcid.org/0000-0003-2681-833X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Alladi","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","Department of Mathematics, University of Florida, Gainesville, FL 32611"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055200378","display_name":"George E. Andrews","orcid":"https://orcid.org/0000-0002-8909-823X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. Andrews","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","Department of Mathematics, University of Florida, Gainesville, FL 32611"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069303998","display_name":"Alexander B\u00e9rkovich","orcid":"https://orcid.org/0000-0003-0159-144X"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]},{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Berkovich","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","Department of Mathematics, University of Florida, Gainesville, FL 32611"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, PA 16802","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611","institution_ids":["https://openalex.org/I33213144"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055200378"],"corresponding_institution_ids":["https://openalex.org/I33213144","https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.741117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":61,"max":68},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","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/T11428","display_name":"Advanced Mathematical Identities","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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9992,"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"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.995,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition Function","score":0.479973}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.722198},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6787735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5516803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34409338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21995279}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/064/01","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":null,"pdf_url":"http://arxiv.org/pdf/math/0005157v1.pdf","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"http://arxiv.org/abs/math/0005157","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":null,"pdf_url":"http://arxiv.org/pdf/math/0005157v1.pdf","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":8,"referenced_works":["https://openalex.org/W2015983451","https://openalex.org/W2061189804","https://openalex.org/W2068912818","https://openalex.org/W2125838758","https://openalex.org/W240707178","https://openalex.org/W2609242352","https://openalex.org/W3104350675","https://openalex.org/W4240867144"],"related_works":["https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W3002753104","https://openalex.org/W2911598644","https://openalex.org/W2077600819","https://openalex.org/W2061531152","https://openalex.org/W2042127053","https://openalex.org/W2007980826","https://openalex.org/W1979597421","https://openalex.org/W1587224694"],"abstract_inverted_index":{"We":[0],"announce":[1],"a":[2,28,37,48,64],"new":[3,71],"four":[4,49,72],"parameter":[5,50,73],"partition":[6,43],"theorem":[7,12,44],"from":[8],"which":[9,55],"the":[10,21,42,57,67,70],"(big)":[11],"of":[13,20,30,45,61,69],"G\u00f6llnitz":[14],"follows":[15],"by":[16],"setting":[17],"any":[18],"one":[19],"parameters":[22],"equal":[23],"to":[24],"0.":[25],"This":[26],"settles":[27],"problem":[29],"Andrews":[31],"who":[32],"asked":[33],"whether":[34],"there":[35],"exists":[36],"result":[38],"that":[39],"goes":[40],"beyond":[41],"G\u00f6llnitz.We":[46],"state":[47],"q-series":[51],"identity":[52,75],"(key":[53],"identity)":[54],"is":[56],"generating":[58],"function":[59],"form":[60],"this":[62],"theorem.In":[63],"subsequent":[65],"paper,":[66],"proof":[68],"key":[74],"will":[76],"be":[77],"given.":[78]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1628251617","counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2024-12-05T02:03:05.140454","created_date":"2016-06-24"}