{"id":"https://openalex.org/W2160439077","doi":"https://doi.org/10.1155/2014/510534","title":"New Mixed Exponential Sums and Their Application","display_name":"New Mixed Exponential Sums and Their Application","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2160439077","doi":"https://doi.org/10.1155/2014/510534","mag":"2160439077"},"language":"en","primary_location":{"id":"doi:10.1155/2014/510534","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/510534","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/510534.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/510534.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102078288","display_name":"Yu Zhan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092459","display_name":"Hetao College","ror":"https://ror.org/00hgh4525","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092459"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhan","raw_affiliation_strings":["Department of Science, Hetao College, Bayannur 015000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Science, Hetao College, Bayannur 015000, China","institution_ids":["https://openalex.org/I4210092459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115592212","display_name":"Xiaoxue Li","orcid":"https://orcid.org/0000-0003-3581-3442"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoxue Li","raw_affiliation_strings":["School of Mathematics, Northwest University, Xi'an, Shaanxi 710127, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi'an, Shaanxi 710127, China","institution_ids":["https://openalex.org/I37802460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5115592212"],"corresponding_institution_ids":["https://openalex.org/I37802460"],"apc_list":{"value":1025,"currency":"USD","value_usd":1050},"apc_paid":{"value":1025,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20699331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"4"},"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/exponential-function","display_name":"Exponential function","score":0.7589346766471863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6399461627006531},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5441516637802124},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.49982142448425293},{"id":"https://openalex.org/keywords/gauss-sum","display_name":"Gauss sum","score":0.46788519620895386},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4373752176761627},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2595313787460327},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.234686940908432},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1451152265071869}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7589346766471863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6399461627006531},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5441516637802124},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.49982142448425293},{"id":"https://openalex.org/C186348414","wikidata":"https://www.wikidata.org/wiki/Q526221","display_name":"Gauss sum","level":2,"score":0.46788519620895386},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4373752176761627},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2595313787460327},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.234686940908432},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1451152265071869},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/510534","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/510534","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/510534.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305841","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305841","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,"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"},{"id":"pmh:oai:RePEc:hin:jnljam:510534","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/510534.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:8da456f8c7b64500a5ea70bf41748d48","is_oa":true,"landing_page_url":"https://doaj.org/article/8da456f8c7b64500a5ea70bf41748d48","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/510534","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/510534","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/510534.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1764318812","display_name":null,"funder_award_id":"11371291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5421966424","display_name":null,"funder_award_id":"2013JZ001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2160439077.pdf","grobid_xml":"https://content.openalex.org/works/W2160439077.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1495550473","https://openalex.org/W1498769399","https://openalex.org/W1592261758","https://openalex.org/W2003610488","https://openalex.org/W2040594718","https://openalex.org/W2081163625"],"related_works":["https://openalex.org/W2876959735","https://openalex.org/W2369988800","https://openalex.org/W4287905284","https://openalex.org/W2808031154","https://openalex.org/W2355014585","https://openalex.org/W2351051352","https://openalex.org/W3143009415","https://openalex.org/W3088774087","https://openalex.org/W2974730968","https://openalex.org/W2160439077"],"abstract_inverted_index":{"The":[0],"main":[1],"purpose":[2],"of":[3,23,31,69,76],"this":[4],"paper":[5],"is":[6],"to":[7,26],"introduce":[8],"a":[9,45,60],"new":[10,61],"mixed":[11,52,78],"exponential":[12,53,79],"sums":[13,25,37],"and":[14,20,38,44],"then":[15],"use":[16],"the":[17,21,28,32,65,74],"analytic":[18],"methods":[19],"properties":[22],"Gauss":[24],"study":[27],"computational":[29,42],"problems":[30],"mean":[33,68],"value":[34],"involving":[35],"these":[36,51,77],"give":[39,59],"an":[40,56],"interesting":[41],"formula":[43,63],"sharp":[46],"upper":[47],"bound":[48],"estimate":[49],"for":[50,64],"sums.":[54,80],"As":[55],"application,":[57],"we":[58],"asymptotic":[62],"fourth":[66],"power":[67],"Dirichlet<mml:math":[70],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[71],"id=\"M1\"><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:math>-functions":[72],"with":[73],"weight":[75]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
