{"id":"https://openalex.org/W4213425920","doi":"https://doi.org/10.37236/10456","title":"Andrews-Beck Type Congruences for Overpartitions","display_name":"Andrews-Beck Type Congruences for Overpartitions","publication_year":2022,"publication_date":"2022-02-24","ids":{"openalex":"https://openalex.org/W4213425920","doi":"https://doi.org/10.37236/10456"},"language":"en","primary_location":{"id":"doi:10.37236/10456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i1p37/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i1p37/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100319878","display_name":"Eunmi Kim","orcid":"https://orcid.org/0000-0001-8209-0190"},"institutions":[{"id":"https://openalex.org/I138925566","display_name":"Ewha Womans University","ror":"https://ror.org/053fp5c05","country_code":"KR","type":"education","lineage":["https://openalex.org/I138925566"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Eunmi Kim","raw_affiliation_strings":["Institute of Mathematical Sciences, Ewha Womans University"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Ewha Womans University","institution_ids":["https://openalex.org/I138925566"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100319878"],"corresponding_institution_ids":["https://openalex.org/I138925566"],"apc_list":null,"apc_paid":null,"fwci":3.5523,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.92981041,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"29","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9994999766349792,"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":0.9994999766349792,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9898999929428101,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9894999861717224,"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/congruence-relation","display_name":"Congruence relation","score":0.9108607769012451},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7495567202568054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6688648462295532},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.617311418056488}],"concepts":[{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.9108607769012451},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7495567202568054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6688648462295532},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.617311418056488}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/10456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i1p37/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/10456","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10456","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i1p37/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G342704958","display_name":null,"funder_award_id":"funded","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3691648678","display_name":null,"funder_award_id":"2020R1I1A1A01065877","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3793286438","display_name":null,"funder_award_id":"2019R1A6A1A11051177","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G4484748457","display_name":null,"funder_award_id":"2019R1A6A1A11051177","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G471096435","display_name":null,"funder_award_id":"2019R1A6A1","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G6095747451","display_name":null,"funder_award_id":"NRF-2020R1I1A1A01065877, NRF-2019R1A6A1A11051177","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7216625956","display_name":null,"funder_award_id":"2019R1A6A1A11","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7891000231","display_name":null,"funder_award_id":"NRF-2019R1A6A1A11051177","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G982292920","display_name":null,"funder_award_id":"NRF-20","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4213425920.pdf","grobid_xml":"https://content.openalex.org/works/W4213425920.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1963759577","https://openalex.org/W2035981450","https://openalex.org/W2086879546","https://openalex.org/W2134565364","https://openalex.org/W2152566119","https://openalex.org/W3012061831","https://openalex.org/W3023655869","https://openalex.org/W3178477165","https://openalex.org/W4206857841","https://openalex.org/W4386436015"],"related_works":["https://openalex.org/W2778946875","https://openalex.org/W2023974151","https://openalex.org/W2163207601","https://openalex.org/W4301322097","https://openalex.org/W3049507786","https://openalex.org/W2103827354","https://openalex.org/W2590546754","https://openalex.org/W4293173044","https://openalex.org/W2472631239","https://openalex.org/W2964315014"],"abstract_inverted_index":{"We":[0],"prove":[1,13],"Andrews-Beck":[2],"type":[3],"congruences":[4],"for":[5,20,39],"overpartitions":[6,27],"concerning":[7],"the":[8,17,33],"$D$-rank":[9,22,35],"and":[10,28],"$M_2$-rank.":[11],"To":[12],"congruences,":[14],"we":[15],"establish":[16],"generating":[18],"function":[19],"weighted":[21],"(respectively,":[23,36],"$M_2$-rank)":[24,37],"moment":[25,38],"of":[26],"find":[29],"a":[30],"connection":[31],"with":[32],"second":[34],"overpartitions.":[40]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}