{"id":"https://openalex.org/W2099890152","doi":"https://doi.org/10.1007/978-1-4614-6642-0_10","title":"Burgess\u2019s Bounds for Character Sums","display_name":"Burgess\u2019s Bounds for Character Sums","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2099890152","doi":"https://doi.org/10.1007/978-1-4614-6642-0_10","mag":"2099890152"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4614-6642-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-6642-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1203.5219v2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086566271","display_name":"D. R. Heath\u2010Brown","orcid":"https://orcid.org/0000-0002-0842-6087"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. R. Heath-Brown","raw_affiliation_strings":["Mathematical Institute, 24-29 St. Giles\u2019, Oxford, OX1 3LB, UK","Mathematical Institute, 24-29 St. Giles', Oxford, OX1 3LB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, 24-29 St. Giles\u2019, Oxford, OX1 3LB, UK","institution_ids":[]},{"raw_affiliation_string":"Mathematical Institute, 24-29 St. Giles', Oxford, OX1 3LB, UK","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5086566271"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.3929,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.98427673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"199","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9995999932289124,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9995999932289124,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9976999759674072,"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/T11130","display_name":"Coding theory and cryptography","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/combinatorics","display_name":"Combinatorics","score":0.8241340517997742},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.7613416910171509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5954468250274658},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0681312084197998}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8241340517997742},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.7613416910171509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5954468250274658},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0681312084197998}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-1-4614-6642-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-6642-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"},{"id":"mag:2949592258","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1203.5219v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"pmh:oai:CiteSeerX.psu:10.1.1.756.1028","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.1028","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1203.5219.pdf","raw_type":"text"}],"best_oa_location":{"id":"mag:2949592258","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1203.5219v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1294628090","display_name":null,"funder_award_id":"EP/I01893X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6477053496","display_name":null,"funder_award_id":"EP/J009458/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W811563720","https://openalex.org/W1561447993","https://openalex.org/W1971474572","https://openalex.org/W1976277192","https://openalex.org/W1976925598","https://openalex.org/W1983208149","https://openalex.org/W2005376004","https://openalex.org/W2007578934","https://openalex.org/W2022811255","https://openalex.org/W2036556379","https://openalex.org/W2092787870","https://openalex.org/W4251413451","https://openalex.org/W4252668872","https://openalex.org/W4313034964"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3105615387","https://openalex.org/W3086542228","https://openalex.org/W2040076772","https://openalex.org/W2017331178","https://openalex.org/W2091592436","https://openalex.org/W2976797620","https://openalex.org/W1589603222","https://openalex.org/W2058702740","https://openalex.org/W1976635267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
