{"id":"https://openalex.org/W2129574642","doi":"https://doi.org/10.1145/1610296.1610297","title":"An algorithm for the explicit evaluation of GL( <i>n</i> ;R) Kloosterman sums","display_name":"An algorithm for the explicit evaluation of GL( <i>n</i> ;R) Kloosterman sums","publication_year":2009,"publication_date":"2009-09-09","ids":{"openalex":"https://openalex.org/W2129574642","doi":"https://doi.org/10.1145/1610296.1610297","mag":"2129574642"},"language":"en","primary_location":{"id":"doi:10.1145/1610296.1610297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1610296.1610297","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://researchcommons.waikato.ac.nz/bitstreams/78515742-0c8e-41a3-a002-7826818b2a7c/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014422330","display_name":"Kevin Broughan","orcid":null},"institutions":[{"id":"https://openalex.org/I52179390","display_name":"University of Waikato","ror":"https://ror.org/013fsnh78","country_code":"NZ","type":"education","lineage":["https://openalex.org/I52179390"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Kevin A. Broughan","raw_affiliation_strings":["University of Waikato, Hamilton, New Zealand","University Of Waikato, Hamilton, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waikato, Hamilton, New Zealand","institution_ids":["https://openalex.org/I52179390"]},{"raw_affiliation_string":"University Of Waikato, Hamilton, New Zealand","institution_ids":["https://openalex.org/I52179390"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014422330"],"corresponding_institution_ids":["https://openalex.org/I52179390"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18518901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"1/2","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9972000122070312,"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/T11130","display_name":"Coding theory and cryptography","score":0.9962000250816345,"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/kloosterman-sum","display_name":"Kloosterman sum","score":0.9314758777618408},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6502397656440735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41278326511383057},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3610621988773346},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3197788596153259}],"concepts":[{"id":"https://openalex.org/C34282223","wikidata":"https://www.wikidata.org/wiki/Q6421354","display_name":"Kloosterman sum","level":2,"score":0.9314758777618408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6502397656440735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41278326511383057},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3610621988773346},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3197788596153259}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1610296.1610297","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1610296.1610297","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:researchcommons.waikato.ac.nz:10289/2055","is_oa":true,"landing_page_url":"https://hdl.handle.net/10289/2055","pdf_url":"https://researchcommons.waikato.ac.nz/bitstreams/78515742-0c8e-41a3-a002-7826818b2a7c/download","source":{"id":"https://openalex.org/S4306400944","display_name":"Research Commons (University of Waikato)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I52179390","host_organization_name":"University of Waikato","host_organization_lineage":["https://openalex.org/I52179390"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:researchcommons.waikato.ac.nz:10289/2055","is_oa":true,"landing_page_url":"https://hdl.handle.net/10289/2055","pdf_url":"https://researchcommons.waikato.ac.nz/bitstreams/78515742-0c8e-41a3-a002-7826818b2a7c/download","source":{"id":"https://openalex.org/S4306400944","display_name":"Research Commons (University of Waikato)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I52179390","host_organization_name":"University of Waikato","host_organization_lineage":["https://openalex.org/I52179390"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2129574642.pdf","grobid_xml":"https://content.openalex.org/works/W2129574642.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W954974379","https://openalex.org/W1493056179","https://openalex.org/W1979223671","https://openalex.org/W2074001834","https://openalex.org/W2330992598","https://openalex.org/W4205981735"],"related_works":["https://openalex.org/W2169231711","https://openalex.org/W2350550242","https://openalex.org/W2999763732","https://openalex.org/W4287906276","https://openalex.org/W2127234324","https://openalex.org/W79839551","https://openalex.org/W1976757672","https://openalex.org/W2042979300","https://openalex.org/W1676329608","https://openalex.org/W2963966623"],"abstract_inverted_index":{"An":[0],"algorithm":[1],"for":[2,9,13],"the":[3,21],"explicit":[4],"evaluation":[5],"of":[6],"Kloosterman":[7],"sums":[8],"GL(":[10,24],"n":[11,14,25],";R)":[12],"\u2265":[15],"2":[16],"and":[17,35],"an":[18],"implementation":[19],"in":[20,31],"Mathematica":[22],"package":[23],")pack":[26],"are":[27,37],"described.":[28],"Pl\u00fccker":[29],"relations":[30],"dimensions":[32],"3,":[33],"4":[34],"5":[36],"given.":[38]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}