{"id":"https://openalex.org/W1487016714","doi":"https://doi.org/10.37236/242","title":"On Some Partitions Related to ${\\Bbb Q}(\\sqrt{2})$","display_name":"On Some Partitions Related to ${\\Bbb Q}(\\sqrt{2})$","publication_year":2009,"publication_date":"2009-01-30","ids":{"openalex":"https://openalex.org/W1487016714","doi":"https://doi.org/10.37236/242","mag":"1487016714"},"language":"en","primary_location":{"id":"doi:10.37236/242","is_oa":true,"landing_page_url":"https://doi.org/10.37236/242","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1n4/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":null,"license_id":null,"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/v16i1n4/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072660120","display_name":"Alexander E. Patkowski","orcid":"https://orcid.org/0000-0002-0455-3089"},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander E. Patkowski","raw_affiliation_strings":["Department of Mathematics University of Florida Gainesville FL 32611-8105"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Florida Gainesville FL 32611-8105","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072660120"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04619125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","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":0.9990000128746033,"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":0.9990000128746033,"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/T11166","display_name":"Analytic Number Theory Research","score":0.995199978351593,"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":0.9904999732971191,"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":0.9117019176483154},{"id":"https://openalex.org/keywords/lacunary-function","display_name":"Lacunary function","score":0.9005364775657654},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6984331011772156},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5955761671066284},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.5478581190109253},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5065571069717407},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4978764057159424},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43146488070487976},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35885781049728394},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04672574996948242}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9117019176483154},{"id":"https://openalex.org/C63356602","wikidata":"https://www.wikidata.org/wiki/Q1986013","display_name":"Lacunary function","level":2,"score":0.9005364775657654},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6984331011772156},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5955761671066284},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.5478581190109253},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5065571069717407},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4978764057159424},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43146488070487976},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35885781049728394},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04672574996948242},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/242","is_oa":true,"landing_page_url":"https://doi.org/10.37236/242","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1n4/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":null,"license_id":null,"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:10.37236/242","is_oa":true,"landing_page_url":"https://doi.org/10.37236/242","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1n4/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1487016714.pdf","grobid_xml":"https://content.openalex.org/works/W1487016714.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W41550552","https://openalex.org/W2012606876","https://openalex.org/W2049692218","https://openalex.org/W2067062018","https://openalex.org/W2575871956","https://openalex.org/W2951506207","https://openalex.org/W4232377904","https://openalex.org/W4292024793","https://openalex.org/W4297822574","https://openalex.org/W6629251564","https://openalex.org/W6634110910"],"related_works":["https://openalex.org/W4388263356","https://openalex.org/W4388462171","https://openalex.org/W1899570685","https://openalex.org/W2167868015","https://openalex.org/W2900909991","https://openalex.org/W4317733076","https://openalex.org/W1965175008","https://openalex.org/W2047071170","https://openalex.org/W4294567731","https://openalex.org/W2808407214"],"abstract_inverted_index":{"We":[0],"offer":[1],"some":[2],"new":[3],"identities":[4],"for":[5],"a":[6,11,14,31],"bipartition":[7],"function,":[8],"which":[9],"has":[10],"relation":[12],"to":[13,30],"Hecke-type":[15],"identity":[16],"of":[17],"Andrews.":[18],"Further,":[19],"we":[20],"show":[21],"this":[22],"partition":[23],"function":[24],"is":[25],"lacunary,":[26],"and":[27],"relate":[28],"it":[29],"real":[32],"quadratic":[33],"field.":[34]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
