{"id":"https://openalex.org/W3026391377","doi":"https://doi.org/10.1137/20m1367672","title":"The Uniformity Conjecture in Additive Combinatorics","display_name":"The Uniformity Conjecture in Additive Combinatorics","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3026391377","doi":"https://doi.org/10.1137/20m1367672","mag":"3026391377"},"language":"en","primary_location":{"id":"doi:10.1137/20m1367672","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1367672","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.11559","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071151408","display_name":"Ilya D. Shkredov","orcid":"https://orcid.org/0000-0002-6445-8390"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ilya Shkredov","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6445-8390","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020781039","display_name":"J\u00f3zsef Solymosi","orcid":"https://orcid.org/0000-0001-9181-0866"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jozsef Solymosi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9181-0866","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2891,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72088111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"1","first_page":"307","last_page":"321"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8165004253387451},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.8048078417778015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7899538278579712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6832318902015686},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5914640426635742},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40403246879577637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14380890130996704}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8165004253387451},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8048078417778015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7899538278579712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6832318902015686},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5914640426635742},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40403246879577637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14380890130996704},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/20m1367672","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1367672","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:124688","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:2005.11559","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.11559","pdf_url":"https://arxiv.org/pdf/2005.11559","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:3026391377","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.11559.pdf","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2005.11559","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.11559","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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.11559","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.11559","pdf_url":"https://arxiv.org/pdf/2005.11559","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5288383318","display_name":null,"funder_award_id":"075-15-2019-1926","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"},{"id":"https://openalex.org/G5341876376","display_name":null,"funder_award_id":"OTKA K 119528","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"},{"id":"https://openalex.org/G6702187272","display_name":null,"funder_award_id":"KKP 133819","funder_id":"https://openalex.org/F4320321994","funder_display_name":"Hungarian Scientific Research Fund"}],"funders":[{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1444168583","https://openalex.org/W1548337223","https://openalex.org/W1555475515","https://openalex.org/W1579814185","https://openalex.org/W1590235295","https://openalex.org/W2010218539","https://openalex.org/W2014991120","https://openalex.org/W2035700719","https://openalex.org/W2036556379","https://openalex.org/W2039975801","https://openalex.org/W2044472296","https://openalex.org/W2071628284","https://openalex.org/W2084903571","https://openalex.org/W2166961358","https://openalex.org/W2315744711","https://openalex.org/W2798358848","https://openalex.org/W2963537911","https://openalex.org/W2963769834","https://openalex.org/W3012098873","https://openalex.org/W3014751857","https://openalex.org/W3102284827","https://openalex.org/W3102885706","https://openalex.org/W3106205541"],"related_works":["https://openalex.org/W2951096767","https://openalex.org/W3168178743","https://openalex.org/W1624498211","https://openalex.org/W2116559802","https://openalex.org/W2963992709","https://openalex.org/W2473647256","https://openalex.org/W3111799105","https://openalex.org/W2968435267","https://openalex.org/W3137941486","https://openalex.org/W2029374777","https://openalex.org/W2188238970","https://openalex.org/W2952590438","https://openalex.org/W2547088347","https://openalex.org/W1524380431","https://openalex.org/W20105556","https://openalex.org/W3096248006","https://openalex.org/W3099649495","https://openalex.org/W912003938","https://openalex.org/W2097225291"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,32],"show":[4],"examples":[5],"for":[6,39],"applications":[7],"of":[8,20,22,27],"the":[9,18,36],"Bombieri-Lang":[10],"conjecture":[11],"in":[12],"additive":[13],"combinatorics,":[14],"giving":[15],"bounds":[16,34],"on":[17,35],"cardinality":[19],"sumsets":[21],"squares":[23],"and":[24],"higher":[25],"powers":[26],"integers.":[28],"Using":[29],"similar":[30],"methods":[31],"give":[33],"sum-product":[37],"problem":[38],"matchings.":[40]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}