{"id":"https://openalex.org/W2098510391","doi":"https://doi.org/10.1007/978-3-642-21898-9_53","title":"Family of Curves Based on Riemann Zeta Function","display_name":"Family of Curves Based on Riemann Zeta Function","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2098510391","doi":"https://doi.org/10.1007/978-3-642-21898-9_53","mag":"2098510391"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21898-9_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21898-9_53","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Carlo Cattani","raw_affiliation_strings":["dipMat, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, SA, Italy","dipMat, University of Salerno, Fisciano, SA, Italy#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"dipMat, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, SA, Italy","institution_ids":["https://openalex.org/I131729948"]},{"raw_affiliation_string":"dipMat, University of Salerno, Fisciano, SA, Italy#TAB#","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022405104"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"644","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","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"}},{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/riemann-zeta-function","display_name":"Riemann zeta function","score":0.7695913314819336},{"id":"https://openalex.org/keywords/riemann-xi-function","display_name":"Riemann Xi function","score":0.6830279231071472},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.623431921005249},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5945144891738892},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5272549390792847},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.49372872710227966},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.48871684074401855},{"id":"https://openalex.org/keywords/particular-values-of-riemann-zeta-function","display_name":"Particular values of Riemann zeta function","score":0.4881311357021332},{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.45487770438194275},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44570788741111755},{"id":"https://openalex.org/keywords/arithmetic-zeta-function","display_name":"Arithmetic zeta function","score":0.4425974488258362},{"id":"https://openalex.org/keywords/explicit-formulae","display_name":"Explicit formulae","score":0.43979668617248535},{"id":"https://openalex.org/keywords/harmonic-function","display_name":"Harmonic function","score":0.4136272668838501},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40497317910194397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.369894802570343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3529249429702759},{"id":"https://openalex.org/keywords/prime-zeta-function","display_name":"Prime zeta function","score":0.1979687213897705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19121557474136353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11167263984680176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10419830679893494},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05590486526489258}],"concepts":[{"id":"https://openalex.org/C35235930","wikidata":"https://www.wikidata.org/wiki/Q187235","display_name":"Riemann zeta function","level":2,"score":0.7695913314819336},{"id":"https://openalex.org/C48902493","wikidata":"https://www.wikidata.org/wiki/Q2152235","display_name":"Riemann Xi function","level":3,"score":0.6830279231071472},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.623431921005249},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5945144891738892},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5272549390792847},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.49372872710227966},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.48871684074401855},{"id":"https://openalex.org/C203513110","wikidata":"https://www.wikidata.org/wiki/Q1073118","display_name":"Particular values of Riemann zeta function","level":5,"score":0.4881311357021332},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.45487770438194275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44570788741111755},{"id":"https://openalex.org/C35861355","wikidata":"https://www.wikidata.org/wiki/Q4791135","display_name":"Arithmetic zeta function","level":3,"score":0.4425974488258362},{"id":"https://openalex.org/C27783845","wikidata":"https://www.wikidata.org/wiki/Q5421272","display_name":"Explicit formulae","level":2,"score":0.43979668617248535},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.4136272668838501},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40497317910194397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.369894802570343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3529249429702759},{"id":"https://openalex.org/C71897612","wikidata":"https://www.wikidata.org/wiki/Q1896470","display_name":"Prime zeta function","level":4,"score":0.1979687213897705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19121557474136353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11167263984680176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10419830679893494},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05590486526489258}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-21898-9_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21898-9_53","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W18046889","https://openalex.org/W128269305","https://openalex.org/W226483541","https://openalex.org/W563207344","https://openalex.org/W1036364606","https://openalex.org/W1497283712","https://openalex.org/W1785759080","https://openalex.org/W1963684587","https://openalex.org/W1995474141","https://openalex.org/W1997282404","https://openalex.org/W1998994233","https://openalex.org/W2000902737","https://openalex.org/W2001938940","https://openalex.org/W2026752606","https://openalex.org/W2056513508","https://openalex.org/W2062024414","https://openalex.org/W2072084087","https://openalex.org/W2072651823","https://openalex.org/W2080482466","https://openalex.org/W2086554260","https://openalex.org/W2106226212","https://openalex.org/W2115755118","https://openalex.org/W2126798717","https://openalex.org/W2473526392","https://openalex.org/W2486689422","https://openalex.org/W3021986761","https://openalex.org/W3105093525","https://openalex.org/W4255272544","https://openalex.org/W4298336664","https://openalex.org/W6655287438"],"related_works":["https://openalex.org/W2996016345","https://openalex.org/W4288019650","https://openalex.org/W3185914399","https://openalex.org/W2086661656","https://openalex.org/W2159906863","https://openalex.org/W4387407331","https://openalex.org/W1973596424","https://openalex.org/W2352880824","https://openalex.org/W1945368700","https://openalex.org/W2963782307"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
