{"id":"https://openalex.org/W2005168217","doi":"https://doi.org/10.1215/s0012-7094-87-05510-4","title":"A relation between Dedekind sums and Kloosterman sums","display_name":"A relation between Dedekind sums and Kloosterman sums","publication_year":1987,"publication_date":"1987-03-01","ids":{"openalex":"https://openalex.org/W2005168217","doi":"https://doi.org/10.1215/s0012-7094-87-05510-4","mag":"2005168217"},"language":"en","primary_location":{"id":"doi:10.1215/s0012-7094-87-05510-4","doi":"https://doi.org/10.1215/s0012-7094-87-05510-4","is_oa":false,"landing_page_url":"https://doi.org/10.1215/s0012-7094-87-05510-4","pdf_url":null,"source":{"id":"https://openalex.org/S171170845","display_name":"Duke Mathematical Journal","issn_l":"0012-7094","issn":["0012-7094","1547-7398"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Duke Mathematical 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":"https://openalex.org/A5047163517","display_name":"Ilan Vardi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ilan Vardi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5047163517"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.749,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.63642473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"55","issue":"1","first_page":"189","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.0005000000237487257,"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/T12404","display_name":"Mathematical Approximation and Integration","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/dedekind-sums","display_name":"Dedekind sums","score":1.0},{"id":"https://openalex.org/keywords/kloosterman-sums","display_name":"Kloosterman sums","score":0.9800000190734863},{"id":"https://openalex.org/keywords/reciprocity-laws","display_name":"reciprocity laws","score":0.7329999804496765},{"id":"https://openalex.org/keywords/gauss-sums","display_name":"Gauss sums","score":0.5569999814033508},{"id":"https://openalex.org/keywords/character-sums","display_name":"character sums","score":0.4690000116825104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8917421102523804},{"id":"https://openalex.org/C34282223","wikidata":"https://www.wikidata.org/wiki/Q6421354","display_name":"Kloosterman sum","level":2,"score":0.8400077819824219},{"id":"https://openalex.org/C183606055","wikidata":"https://www.wikidata.org/wiki/Q2463775","display_name":"Dedekind sum","level":3,"score":0.7709821462631226},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6597597599029541},{"id":"https://openalex.org/C76449584","wikidata":"https://www.wikidata.org/wiki/Q851333","display_name":"Dedekind cut","level":2,"score":0.5164211392402649},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.461327463388443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.038859277963638306},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/s0012-7094-87-05510-4","doi":"https://doi.org/10.1215/s0012-7094-87-05510-4","is_oa":false,"landing_page_url":"https://doi.org/10.1215/s0012-7094-87-05510-4","pdf_url":null,"source":{"id":"https://openalex.org/S171170845","display_name":"Duke Mathematical Journal","issn_l":"0012-7094","issn":["0012-7094","1547-7398"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Duke Mathematical Journal","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.dmj/1077305885","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.dmj/1077305885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W40732046","https://openalex.org/W1514814112","https://openalex.org/W1981479929","https://openalex.org/W2016431841","https://openalex.org/W2021462122","https://openalex.org/W2029976373","https://openalex.org/W2075604393","https://openalex.org/W2081163625","https://openalex.org/W2191023715","https://openalex.org/W2226391020","https://openalex.org/W4250030641","https://openalex.org/W4251130793"],"related_works":["https://openalex.org/W1972037298","https://openalex.org/W4388599920","https://openalex.org/W2889694783","https://openalex.org/W2388785605","https://openalex.org/W2891743814","https://openalex.org/W2035354953","https://openalex.org/W3141464450","https://openalex.org/W2963402523","https://openalex.org/W2229007345","https://openalex.org/W4300521557"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-10-15T10:00:46.086208","created_date":"2025-10-10T00:00:00"}
