{"id":"https://openalex.org/W2057049776","doi":"https://doi.org/10.1090/s0025-5718-98-00923-5","title":"Diameters of complete sets of conjugate algebraic integers of small degree","display_name":"Diameters of complete sets of conjugate algebraic integers of small degree","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2057049776","doi":"https://doi.org/10.1090/s0025-5718-98-00923-5","mag":"2057049776"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-98-00923-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00923-5","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014869890","display_name":"Michel Grandcolas","orcid":null},"institutions":[{"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":"Michel Grandcolas","raw_affiliation_strings":["UFR MIM, D\u00c3\u00a9partement de Math\u00c3\u00a9matiques, URA CNRS 399, Universit\u00c3\u00a9 de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France","UFR MIM, D\u00e9partement de Math\u00e9matiques, URA CNRS 399, Universit\u00e9 de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France"],"affiliations":[{"raw_affiliation_string":"UFR MIM, D\u00c3\u00a9partement de Math\u00c3\u00a9matiques, URA CNRS 399, Universit\u00c3\u00a9 de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UFR MIM, D\u00e9partement de Math\u00e9matiques, URA CNRS 399, Universit\u00e9 de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014869890"],"corresponding_institution_ids":["https://openalex.org/I1294671590"],"apc_list":null,"apc_paid":null,"fwci":0.9346,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72441567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":"222","first_page":"821","last_page":"831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9825000166893005,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9825000166893005,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T13234","display_name":"advanced mathematical theories","score":0.9746999740600586,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9312289953231812},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6917416453361511},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.6490509510040283},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5194639563560486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40026119351387024},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35631871223449707},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3403400182723999},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09737920761108398}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9312289953231812},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6917416453361511},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.6490509510040283},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5194639563560486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40026119351387024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35631871223449707},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3403400182723999},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09737920761108398},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-98-00923-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00923-5","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.424","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.424","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.45","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.45","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-98-00923-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-98-00923-5","pdf_url":"https://www.ams.org/mcom/1998-67-222/S0025-5718-98-00923-5/S0025-5718-98-00923-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2057049776.pdf","grobid_xml":"https://content.openalex.org/works/W2057049776.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2013337135","https://openalex.org/W2019017119","https://openalex.org/W2150364147","https://openalex.org/W2328789739","https://openalex.org/W4249513065"],"related_works":["https://openalex.org/W2143004018","https://openalex.org/W2330362314","https://openalex.org/W2435669318","https://openalex.org/W1995639836","https://openalex.org/W1543576583","https://openalex.org/W2754988198","https://openalex.org/W2052516204","https://openalex.org/W2290850064","https://openalex.org/W2107387898","https://openalex.org/W1993252583"],"abstract_inverted_index":{"We":[0],"give":[1],"bounds":[2],"for":[3],"the":[4,12],"coefficients":[5],"of":[6,11,14],"a":[7],"polynomial":[8],"as":[9],"functions":[10],"diameter":[13],"its":[15],"roots,":[16],"hence":[17],"we":[18],"obtain":[19],"polynomials":[20],"with":[21],"minimal":[22],"diameters":[23],"and":[24],"small":[25],"degree":[26]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}