{"id":"https://openalex.org/W1419520070","doi":"https://doi.org/10.1080/10586458.2015.1042599","title":"Minimal Mahler Measure in Real Quadratic Fields","display_name":"Minimal Mahler Measure in Real Quadratic Fields","publication_year":2015,"publication_date":"2015-12-02","ids":{"openalex":"https://openalex.org/W1419520070","doi":"https://doi.org/10.1080/10586458.2015.1042599","mag":"1419520070"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1042599","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1042599","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/A5001319677","display_name":"Todd Cochrane","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Todd Cochrane","raw_affiliation_strings":["Department of Mathematics, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043451486","display_name":"R. M. S. Dissanayake","orcid":null},"institutions":[{"id":"https://openalex.org/I111199411","display_name":"University of Peradeniya","ror":"https://ror.org/025h79t26","country_code":"LK","type":"education","lineage":["https://openalex.org/I111199411"]}],"countries":["LK"],"is_corresponding":false,"raw_author_name":"R. M. S. Dissanayake","raw_affiliation_strings":["Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Sri Lanka"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Sri Lanka","institution_ids":["https://openalex.org/I111199411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083317759","display_name":"Nicholas Donohoue","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas Donohoue","raw_affiliation_strings":["Department of Mathematics, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078964733","display_name":"M. I. M. Ishak","orcid":null},"institutions":[{"id":"https://openalex.org/I111199411","display_name":"University of Peradeniya","ror":"https://ror.org/025h79t26","country_code":"LK","type":"education","lineage":["https://openalex.org/I111199411"]}],"countries":["LK"],"is_corresponding":false,"raw_author_name":"M. I. M. Ishak","raw_affiliation_strings":["Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Sri Lanka"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Sri Lanka","institution_ids":["https://openalex.org/I111199411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028609524","display_name":"Vincent Pigno","orcid":null},"institutions":[{"id":"https://openalex.org/I43522216","display_name":"California State University, Sacramento","ror":"https://ror.org/03e26wv14","country_code":"US","type":"education","lineage":["https://openalex.org/I43522216"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Pigno","raw_affiliation_strings":["Department of Mathematics and Statistics, University of California, Sacramento, Sacramento, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of California, Sacramento, Sacramento, CA, USA","institution_ids":["https://openalex.org/I43522216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011418874","display_name":"Chris Pinner","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chris Pinner","raw_affiliation_strings":["Department of Mathematics, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032986843","display_name":"Craig Spencer","orcid":null},"institutions":[{"id":"https://openalex.org/I189590672","display_name":"Kansas State University","ror":"https://ror.org/05p1j8758","country_code":"US","type":"education","lineage":["https://openalex.org/I189590672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Craig Spencer","raw_affiliation_strings":["Department of Mathematics, Kansas State University, Manhattan, KS, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kansas State University, Manhattan, KS, USA","institution_ids":["https://openalex.org/I189590672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5011418874"],"corresponding_institution_ids":["https://openalex.org/I189590672"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.01959446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"2","first_page":"107","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9968000054359436,"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":0.9029408097267151},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7228637933731079},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6365389227867126},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40806183218955994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3265339732170105},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19615724682807922}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9029408097267151},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7228637933731079},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6365389227867126},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40806183218955994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3265339732170105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19615724682807922},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2015.1042599","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1042599","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":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W104435639","https://openalex.org/W1019675485","https://openalex.org/W1498769399","https://openalex.org/W1534790392","https://openalex.org/W1542908046","https://openalex.org/W2031211395","https://openalex.org/W2051332773","https://openalex.org/W2059404957","https://openalex.org/W2064292613","https://openalex.org/W2073749641","https://openalex.org/W2334368756","https://openalex.org/W3106365391"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,8],"upper":[3],"and":[4],"lower":[5],"bounds":[6],"on":[7],"minimal":[9],"Mahler":[10],"measure":[11],"of":[12],"an":[13],"irrational":[14],"number":[15],"lying":[16],"in":[17],"a":[18],"particular":[19],"real":[20],"quadratic":[21],"field.":[22]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}