{"id":"https://openalex.org/W3185937515","doi":"https://doi.org/10.1080/10586458.2021.1926012","title":"Asymptotic Behavior of Kac Polynomials","display_name":"Asymptotic Behavior of Kac Polynomials","publication_year":2021,"publication_date":"2021-07-23","ids":{"openalex":"https://openalex.org/W3185937515","doi":"https://doi.org/10.1080/10586458.2021.1926012","mag":"3185937515"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1926012","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926012","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/A5041225859","display_name":"Lucien Hennecart","orcid":"https://orcid.org/0000-0002-9440-6823"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lucien Hennecart","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de math\u00e9matiques d\u2019Orsay, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de math\u00e9matiques d\u2019Orsay, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041225859"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18834261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"2","first_page":"294","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/mathematics","display_name":"Mathematics","score":0.9163186550140381},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7433565258979797},{"id":"https://openalex.org/keywords/quiver","display_name":"Quiver","score":0.7137982249259949},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5083038210868835},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5075308084487915},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4956313371658325},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.4751577079296112},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.4624742269515991},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.4559387266635895},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.42757201194763184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37723591923713684},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.33617353439331055},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3001052141189575},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1720292866230011},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.14349007606506348}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9163186550140381},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7433565258979797},{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.7137982249259949},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5083038210868835},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5075308084487915},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4956313371658325},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.4751577079296112},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.4624742269515991},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.4559387266635895},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.42757201194763184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37723591923713684},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.33617353439331055},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3001052141189575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1720292866230011},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.14349007606506348},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2021.1926012","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926012","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"},{"id":"pmh:oai:HAL:hal-03511765v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03511765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, 2021, 32 (2), pp.294-312. &#x27E8;10.1080/10586458.2021.1926012&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W55743083","https://openalex.org/W1584927588","https://openalex.org/W1642629289","https://openalex.org/W1964172127","https://openalex.org/W1971467621","https://openalex.org/W1975628350","https://openalex.org/W1985495577","https://openalex.org/W1997850871","https://openalex.org/W2073412179","https://openalex.org/W2082909894","https://openalex.org/W2089420710","https://openalex.org/W2108426060","https://openalex.org/W2114120297","https://openalex.org/W2127731679","https://openalex.org/W2761362327","https://openalex.org/W2963517666","https://openalex.org/W2963916876","https://openalex.org/W3087669183"],"related_works":["https://openalex.org/W3125460591","https://openalex.org/W2012860697","https://openalex.org/W2168893271","https://openalex.org/W2151132381","https://openalex.org/W2493096353","https://openalex.org/W1570370571","https://openalex.org/W2504939013","https://openalex.org/W4394818655","https://openalex.org/W4286909400","https://openalex.org/W3148568540"],"abstract_inverted_index":{"We":[0,27],"conjecture":[1,62],"a":[2,14,29,53,61],"formula":[3],"supported":[4],"by":[5],"computations":[6,74],"for":[7],"the":[8,20,40,47,64,68],"valuation":[9],"of":[10,13,22,32,36,42,49,56,67,70],"Kac":[11,34,71],"polynomials":[12,35],"quiver,":[15],"which":[16],"only":[17],"depends":[18],"on":[19],"number":[21,41],"loops":[23],"at":[24],"each":[25],"vertex.":[26],"prove":[28],"convergence":[30],"property":[31],"renormalized":[33],"quivers":[37],"when":[38],"increasing":[39],"arrows:":[43],"they":[44],"converge":[45],"in":[46],"ring":[48],"power":[50],"series,":[51],"with":[52],"linear":[54],"rate":[55],"convergence.":[57],"Then,":[58],"we":[59],"propose":[60],"concerning":[63],"global":[65],"behavior":[66],"coefficients":[69],"polynomials.":[72],"All":[73],"were":[75],"made":[76],"using":[77],"SageMath.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-08-02T00:00:00"}
