{"id":"https://openalex.org/W2312371017","doi":"https://doi.org/10.4169/college.math.j.46.4.264","title":"Square\u2013Sum Pair Partitions","display_name":"Square\u2013Sum Pair Partitions","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2312371017","doi":"https://doi.org/10.4169/college.math.j.46.4.264","mag":"2312371017"},"language":"en","primary_location":{"id":"doi:10.4169/college.math.j.46.4.264","doi":"https://doi.org/10.4169/college.math.j.46.4.264","is_oa":false,"landing_page_url":"https://doi.org/10.4169/college.math.j.46.4.264","pdf_url":null,"source":{"id":"https://openalex.org/S193011845","display_name":"College Mathematics Journal","issn_l":"0746-8342","issn":["0746-8342","1931-1346"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The College Mathematics Journal","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gordon Hamilton","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gordon Hamilton","raw_affiliation_strings":["View further author information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036080574","display_name":"Kiran S. Kedlaya","orcid":"https://orcid.org/0000-0001-8700-8758","observed_orcids":["https://orcid.org/0000-0001-8700-8758"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kiran S. Kedlaya","raw_affiliation_strings":["View further author information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038715781","display_name":"Henri Picciotto","orcid":"https://orcid.org/0000-0002-5929-8820","observed_orcids":["https://orcid.org/0000-0002-5929-8820"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Henri Picciotto","raw_affiliation_strings":["View further author information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18467878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"4","first_page":"264","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.7221999764442444,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.7221999764442444,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.13449999690055847,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12504","display_name":"Mathematics and Applications","score":0.09279999881982803,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integer-partitions","display_name":"integer partitions","score":0.7850000262260437},{"id":"https://openalex.org/keywords/visual-representation","display_name":"visual representation","score":0.6359999775886536},{"id":"https://openalex.org/keywords/combinatorial-generalization","display_name":"combinatorial generalization","score":0.48899999260902405},{"id":"https://openalex.org/keywords/recreational-mathematics","display_name":"recreational mathematics","score":0.5189999938011169}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8178897500038147},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.6571481227874756},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4403465688228607},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3972422182559967},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3406543731689453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15646013617515564},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4169/college.math.j.46.4.264","doi":"https://doi.org/10.4169/college.math.j.46.4.264","is_oa":false,"landing_page_url":"https://doi.org/10.4169/college.math.j.46.4.264","pdf_url":null,"source":{"id":"https://openalex.org/S193011845","display_name":"College Mathematics Journal","issn_l":"0746-8342","issn":["0746-8342","1931-1346"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The College Mathematics Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality education","score":0.5385000109672546,"id":"https://metadata.un.org/sdg/4"}],"sustainable_development_goals_aurora":[{"display_name":"Quality education","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W577165438","https://openalex.org/W644030549","https://openalex.org/W2126209209","https://openalex.org/W4302081240"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"SummaryWe":[0],"present":[1],"a":[2],"middle":[3],"school":[4],"problem":[5],"and":[6,32],"generalize":[7],"it":[8],"in":[9],"several":[10],"ways,":[11],"including":[12],"many":[13],"new":[14],"variations":[15],"for":[16],"readers":[17],"to":[18,25,35],"explore.":[19],"The":[20],"problems":[21],"should":[22],"be":[23],"attractive":[24],"students,":[26],"as":[27],"they":[28],"have":[29],"few":[30],"prerequisites":[31],"lend":[33],"themselves":[34],"beautiful":[36],"visual":[37],"representations.":[38]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}