{"id":"https://openalex.org/W3181303507","doi":"https://doi.org/10.1080/10586458.2021.1926002","title":"Conjectures for Moments Associated With Cubic Twists of Elliptic Curves","display_name":"Conjectures for Moments Associated With Cubic Twists of Elliptic Curves","publication_year":2021,"publication_date":"2021-07-01","ids":{"openalex":"https://openalex.org/W3181303507","doi":"https://doi.org/10.1080/10586458.2021.1926002","mag":"3181303507"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1926002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926002","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/A5047375275","display_name":"Chantal David","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Chantal David","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Qu\u00e9bec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069225013","display_name":"Matilde La\u013a\u0131n","orcid":"https://orcid.org/0000-0002-7155-5439"},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Matilde Lal\u00edn","raw_affiliation_strings":["D\u00e9pt. de math\u00e9matiques et de statistique, Universit\u00e9 de Montr\u00e9al, Pavillon Andr\u00e9-Aisenstadt, Qu\u00e9bec, Canada"],"raw_orcid":"https://orcid.org/0000-0002-7155-5439","affiliations":[{"raw_affiliation_string":"D\u00e9pt. de math\u00e9matiques et de statistique, Universit\u00e9 de Montr\u00e9al, Pavillon Andr\u00e9-Aisenstadt, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084503801","display_name":"Jungbae Nam","orcid":"https://orcid.org/0000-0001-9011-6071"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jungbae Nam","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Qu\u00e9bec, Canada"],"raw_orcid":"https://orcid.org/0000-0001-9011-6071","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069225013"],"corresponding_institution_ids":["https://openalex.org/I70931966"],"apc_list":null,"apc_paid":null,"fwci":1.2594,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76503609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"32","issue":"1","first_page":"105","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9995999932289124,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8598797917366028},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6376808285713196},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6245435476303101},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.5863280892372131},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5151066184043884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5142423510551453},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4527944326400757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.367795467376709},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2291591763496399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8598797917366028},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6376808285713196},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6245435476303101},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.5863280892372131},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5151066184043884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5142423510551453},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4527944326400757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.367795467376709},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2291591763496399},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2021.1926002","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926002","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W586135738","https://openalex.org/W1603923942","https://openalex.org/W1626654227","https://openalex.org/W1838463878","https://openalex.org/W1968781015","https://openalex.org/W1980148260","https://openalex.org/W1980939000","https://openalex.org/W1983874157","https://openalex.org/W2001441970","https://openalex.org/W2013205609","https://openalex.org/W2016499826","https://openalex.org/W2059246298","https://openalex.org/W2064107124","https://openalex.org/W2080713408","https://openalex.org/W2090082281","https://openalex.org/W2095393613","https://openalex.org/W2101367141","https://openalex.org/W2140140967","https://openalex.org/W2333976070","https://openalex.org/W2801179766","https://openalex.org/W3100372769","https://openalex.org/W3102676236","https://openalex.org/W4241271931"],"related_works":["https://openalex.org/W1970313336","https://openalex.org/W4388175706","https://openalex.org/W3170865983","https://openalex.org/W2356126862","https://openalex.org/W2112928736","https://openalex.org/W3194471551","https://openalex.org/W4235576806","https://openalex.org/W4389775313","https://openalex.org/W118970476","https://openalex.org/W2513246935"],"abstract_inverted_index":{"We":[0,29],"extend":[1,48],"the":[2,18,32,39,81],"heuristic":[3],"introduced":[4],"by":[5,26],"Conrey,":[6],"Farmer,":[7],"Keating,":[8],"Rubinstein,":[9],"and":[10,36,56],"Snaith":[11,37],"in":[12],"order":[13],"to":[14,47,51,79],"formulate":[15],"conjectures":[16,59,71],"for":[17,64],"(k,l)-moments":[19,40],"of":[20,22,34,41,44,69],"L-functions":[21],"elliptic":[23],"curves":[24],"twisted":[25],"cubic":[27,74],"characters.":[28],"also":[30],"apply":[31],"work":[33],"Keating":[35],"on":[38],"characteristic":[42],"polynomials":[43],"unitary":[45],"matrices":[46],"our":[49,70],"conjecture":[50],"k,l\u2208C":[52],"such":[53],"that":[54,73],"Re(k),Re(l),":[55],"Re(k+l)>\u22121.":[57],"Our":[58],"are":[60],"then":[61],"numerically":[62],"tested":[63],"two":[65],"families.":[66],"A":[67],"novelty":[68],"is":[72],"twists":[75],"naturally":[76],"lead":[77],"us":[78],"consider":[80],"possibility":[82],"k=l.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
