{"id":"https://openalex.org/W1099935181","doi":"https://doi.org/10.1007/s12095-015-0142-9","title":"Spectra of a class of quadratic functions: Average behaviour and counting functions","display_name":"Spectra of a class of quadratic functions: Average behaviour and counting functions","publication_year":2015,"publication_date":"2015-06-20","ids":{"openalex":"https://openalex.org/W1099935181","doi":"https://doi.org/10.1007/s12095-015-0142-9","mag":"1099935181"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-015-0142-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-015-0142-9","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"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/A5014744565","display_name":"Canan Ka\u015f\u0131k\u00e7\u0131","orcid":null},"institutions":[{"id":"https://openalex.org/I1301968116","display_name":"MEF University","ror":"https://ror.org/05jz51y94","country_code":"TR","type":"education","lineage":["https://openalex.org/I1301968116"]},{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Canan Ka\u015f\u0131kc\u0131","raw_affiliation_strings":["Sabanc\u0131 University, MDBF, Orhanl\u0131, Tuzla, 34956, \u0130stanbul, Turkey","Sabanc\u0131 University, \u0130stanbul, Turkey","Sabanci University,Istanbul,Turkey,34956"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sabanc\u0131 University, MDBF, Orhanl\u0131, Tuzla, 34956, \u0130stanbul, Turkey","institution_ids":["https://openalex.org/I1301968116","https://openalex.org/I134235054"]},{"raw_affiliation_string":"Sabanc\u0131 University, \u0130stanbul, Turkey","institution_ids":["https://openalex.org/I134235054"]},{"raw_affiliation_string":"Sabanci University,Istanbul,Turkey,34956","institution_ids":["https://openalex.org/I134235054"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045628286","display_name":"Wilfried Meidl","orcid":null},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Wilfried Meidl","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria#TAB#","institution_ids":["https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040765367","display_name":"Alev Topuzo\u011flu","orcid":null},"institutions":[{"id":"https://openalex.org/I1301968116","display_name":"MEF University","ror":"https://ror.org/05jz51y94","country_code":"TR","type":"education","lineage":["https://openalex.org/I1301968116"]},{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Alev Topuzo\u011flu","raw_affiliation_strings":["Sabanc\u0131 University, MDBF, Orhanl\u0131, Tuzla, 34956, \u0130stanbul, Turkey","Sabanc\u0131 University, \u0130stanbul, Turkey","Sabanci University,Istanbul,Turkey,34956"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sabanc\u0131 University, MDBF, Orhanl\u0131, Tuzla, 34956, \u0130stanbul, Turkey","institution_ids":["https://openalex.org/I1301968116","https://openalex.org/I134235054"]},{"raw_affiliation_string":"Sabanc\u0131 University, \u0130stanbul, Turkey","institution_ids":["https://openalex.org/I134235054"]},{"raw_affiliation_string":"Sabanci University,Istanbul,Turkey,34956","institution_ids":["https://openalex.org/I134235054"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014744565","https://openalex.org/A5040765367","https://openalex.org/A5045628286"],"corresponding_institution_ids":["https://openalex.org/I1301968116","https://openalex.org/I134235054","https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.5057,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80192647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":"2","first_page":"191","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"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":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6932231187820435},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.6715063452720642},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6447416543960571},{"id":"https://openalex.org/keywords/class-number","display_name":"Class number","score":0.6354308128356934},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6081646084785461},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5606948137283325},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5480412244796753},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5175666213035583},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4738357961177826},{"id":"https://openalex.org/keywords/quadratic-form","display_name":"Quadratic form (statistics)","score":0.4456694722175598},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4223138391971588},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3922847807407379}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6932231187820435},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6715063452720642},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6447416543960571},{"id":"https://openalex.org/C2983692738","wikidata":"https://www.wikidata.org/wiki/Q943927","display_name":"Class number","level":3,"score":0.6354308128356934},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6081646084785461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5606948137283325},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5480412244796753},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5175666213035583},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4738357961177826},{"id":"https://openalex.org/C152022596","wikidata":"https://www.wikidata.org/wiki/Q7268361","display_name":"Quadratic form (statistics)","level":2,"score":0.4456694722175598},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4223138391971588},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3922847807407379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s12095-015-0142-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-015-0142-9","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},{"id":"pmh:oai:research.sabanciuniv.edu:30762","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/30762/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:research.sabanciuniv.edu:28622","is_oa":false,"landing_page_url":"http://doi.org/10.1007/s12095-015-0142-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:gcris.mef.edu.tr:20.500.11779/4244","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.11779/4244","pdf_url":null,"source":{"id":"https://openalex.org/S4306400448","display_name":"MEF University Institutional Repository (MEF University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1301968116","host_organization_name":"MEF University","host_organization_lineage":["https://openalex.org/I1301968116"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W638230986","https://openalex.org/W1471103927","https://openalex.org/W1498892963","https://openalex.org/W1511108167","https://openalex.org/W1969699872","https://openalex.org/W1975768884","https://openalex.org/W2007990275","https://openalex.org/W2010616930","https://openalex.org/W2015993444","https://openalex.org/W2018168377","https://openalex.org/W2031388254","https://openalex.org/W2032738142","https://openalex.org/W2061417750","https://openalex.org/W2062897622","https://openalex.org/W2077153543","https://openalex.org/W2080632738","https://openalex.org/W2090331763","https://openalex.org/W2095705398","https://openalex.org/W2098933212","https://openalex.org/W2106703185","https://openalex.org/W2111654901","https://openalex.org/W2112446992","https://openalex.org/W2112846031","https://openalex.org/W2120399748","https://openalex.org/W2126085612","https://openalex.org/W2132985704","https://openalex.org/W2147608537","https://openalex.org/W2154477824","https://openalex.org/W2165414731","https://openalex.org/W2613956024","https://openalex.org/W4243769268"],"related_works":["https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W2077650276","https://openalex.org/W4386731488","https://openalex.org/W2364804428","https://openalex.org/W4320232412","https://openalex.org/W2352916597","https://openalex.org/W2153676672","https://openalex.org/W2528378763","https://openalex.org/W2047406140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
