{"id":"https://openalex.org/W2027084050","doi":"https://doi.org/10.1007/s00493-004-0001-3","title":"Sumsets Containing Powers of an Integer","display_name":"Sumsets Containing Powers of an Integer","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2027084050","doi":"https://doi.org/10.1007/s00493-004-0001-3","mag":"2027084050"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-004-0001-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0001-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"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":"https://openalex.org/A5039023516","display_name":"Tetsuya Abe","orcid":"https://orcid.org/0000-0002-0300-2293"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tetsuya Abe","raw_affiliation_strings":["Bureau of Human Resources National Personnel\nAuthority, 1-2-3 Kasumigaseki, Chiyoda-ku, Tokyo, 100-8913, Japan","Bureau of Human Resources National Personnel Authority, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Bureau of Human Resources National Personnel\nAuthority, 1-2-3 Kasumigaseki, Chiyoda-ku, Tokyo, 100-8913, Japan","institution_ids":[]},{"raw_affiliation_string":"Bureau of Human Resources National Personnel Authority, Japan#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039023516"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5216,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.62002946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"1","first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.8281000256538391,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.8281000256538391,"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/T12176","display_name":"Optimization and Packing Problems","score":0.8065000176429749,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.7864999771118164,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8713721036911011},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.8626379370689392},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7812134623527527},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.602993905544281},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5830735564231873},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4545452296733856},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.42525532841682434}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8713721036911011},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.8626379370689392},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7812134623527527},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.602993905544281},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5830735564231873},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4545452296733856},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.42525532841682434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-004-0001-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-004-0001-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2076061548"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W1967784590","https://openalex.org/W2329128713","https://openalex.org/W2327497304","https://openalex.org/W2044215988","https://openalex.org/W2123715679","https://openalex.org/W2320229756","https://openalex.org/W633568590","https://openalex.org/W1815571","https://openalex.org/W2502624504"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
