{"id":"https://openalex.org/W2011071631","doi":"https://doi.org/10.1080/10586458.2008.10128871","title":"The Cubic Chan\u2013Chua Conjecture","display_name":"The Cubic Chan\u2013Chua Conjecture","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2011071631","doi":"https://doi.org/10.1080/10586458.2008.10128871","mag":"2011071631"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2008.10128871","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10128871","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5076862599","display_name":"S. Barry Cooper","orcid":"https://orcid.org/0000-0001-5103-0400"},"institutions":[{"id":"https://openalex.org/I51158804","display_name":"Massey University","ror":"https://ror.org/052czxv31","country_code":"NZ","type":"education","lineage":["https://openalex.org/I51158804"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Shaun Cooper","raw_affiliation_strings":["Institute of Information and Mathematical Sciences, Massey University \u2013 Albany, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand","Institute of Information and Mathematical Sciences Massey University-Albany Private Bag 102904, North Shore Mail Centre Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Mathematical Sciences, Massey University \u2013 Albany, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand","institution_ids":["https://openalex.org/I51158804"]},{"raw_affiliation_string":"Institute of Information and Mathematical Sciences Massey University-Albany Private Bag 102904, North Shore Mail Centre Auckland, New Zealand","institution_ids":["https://openalex.org/I51158804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076862599"],"corresponding_institution_ids":["https://openalex.org/I51158804"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10753822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"439","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":1.0,"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/T11428","display_name":"Advanced Mathematical Identities","score":1.0,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9994000196456909,"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/conjecture","display_name":"Conjecture","score":0.9309176206588745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9047814607620239},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5066536068916321},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.46917301416397095},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45827198028564453},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4486260712146759},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2280045747756958}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.9309176206588745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9047814607620239},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5066536068916321},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.46917301416397095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45827198028564453},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4486260712146759},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2280045747756958},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2008.10128871","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10128871","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W657849484","https://openalex.org/W1619810481","https://openalex.org/W1834209200","https://openalex.org/W1965878634","https://openalex.org/W1978564593","https://openalex.org/W2144708940","https://openalex.org/W2595945369"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W1973978937","https://openalex.org/W4286909116","https://openalex.org/W4292635168"],"abstract_inverted_index":{"A":[0],"conjecture":[1,45],"that":[2,60],"expresses":[3],"the":[4,8,39,44,61],"nth":[5],"power":[6],"of":[7,14,23,26,36,41],"cubic":[9],"theta":[10],"function":[11],"in":[12],"terms":[13],"Eisenstein":[15],"series":[16],"is":[17,20,46,58],"formulated.":[18],"It":[19,57],"an":[21],"analogue":[22],"four":[24],"conjectures":[25],"H.":[27,28],"Chan":[29],"and":[30],"K.":[31],"S.":[32],"Chua":[33],"for":[34,51,66],"powers":[35],".":[37],"With":[38],"help":[40],"a":[42],"computer,":[43],"shown":[47],"to":[48,64],"be":[49],"true":[50],"6":[52],"\u2264":[53,55],"n":[54,67],"100.":[56,69],"conjectured":[59],"result":[62],"continues":[63],"hold":[65],">":[68]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}