{"id":"https://openalex.org/W1969779627","doi":"https://doi.org/10.1080/10586458.2005.10128926","title":"The Iwasawa Invariants and the Higher<i>K</i>-Groups Associated to Real Quadratic Fields","display_name":"The Iwasawa Invariants and the Higher<i>K</i>-Groups Associated to Real Quadratic Fields","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1969779627","doi":"https://doi.org/10.1080/10586458.2005.10128926","mag":"1969779627"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2005.10128926","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128926","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/A5065393645","display_name":"Hiroki Sumida-Takahashi","orcid":"https://orcid.org/0000-0003-3928-9481"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroki Sumida-Takahashi","raw_affiliation_strings":["Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama, Higashi-Hiroshima 739-8521, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama, Higashi-Hiroshima 739-8521, Japan","institution_ids":["https://openalex.org/I113306721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065393645"],"corresponding_institution_ids":["https://openalex.org/I113306721"],"apc_list":null,"apc_paid":null,"fwci":0.4269,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.55522422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"3","first_page":"307","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":1.0,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":1.0,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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/T10849","display_name":"Finite Group Theory Research","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8850169777870178},{"id":"https://openalex.org/keywords/iwasawa-theory","display_name":"Iwasawa theory","score":0.7588256001472473},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6365355849266052},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5552489757537842},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.5395144820213318},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5354758501052856},{"id":"https://openalex.org/keywords/quadratic-field","display_name":"Quadratic field","score":0.44047629833221436},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42310136556625366},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35549235343933105},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.18433639407157898},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.08777183294296265},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.084827721118927}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8850169777870178},{"id":"https://openalex.org/C194909684","wikidata":"https://www.wikidata.org/wiki/Q1392559","display_name":"Iwasawa theory","level":3,"score":0.7588256001472473},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6365355849266052},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5552489757537842},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.5395144820213318},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5354758501052856},{"id":"https://openalex.org/C95136341","wikidata":"https://www.wikidata.org/wiki/Q625519","display_name":"Quadratic field","level":4,"score":0.44047629833221436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42310136556625366},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35549235343933105},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.18433639407157898},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.08777183294296265},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.084827721118927},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2005.10128926","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128926","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":22,"referenced_works":["https://openalex.org/W158235261","https://openalex.org/W188626456","https://openalex.org/W198893610","https://openalex.org/W298093696","https://openalex.org/W332390904","https://openalex.org/W1518568484","https://openalex.org/W1558606648","https://openalex.org/W1584102728","https://openalex.org/W1593085774","https://openalex.org/W1975103124","https://openalex.org/W2004964862","https://openalex.org/W2016460631","https://openalex.org/W2019228100","https://openalex.org/W2039849847","https://openalex.org/W2040971425","https://openalex.org/W2045539592","https://openalex.org/W2068822186","https://openalex.org/W2071886435","https://openalex.org/W2073454809","https://openalex.org/W2076380573","https://openalex.org/W2152069602","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W3056579834","https://openalex.org/W2962732743","https://openalex.org/W2963861922","https://openalex.org/W2285828003","https://openalex.org/W3116322865","https://openalex.org/W2042708589","https://openalex.org/W2287441833","https://openalex.org/W3104061672","https://openalex.org/W2322010471","https://openalex.org/W4308618970"],"abstract_inverted_index":{"Using":[0],"fast":[1],"algorithms,":[2],"we":[3,32],"compute":[4],"the":[5,14,37,41],"Iwasawa":[6],"invariants":[7],"of":[8,40,43,45],"\u211a(\u221a\u0192,":[9],"\u03b6":[10],"p":[11,24],")":[12],"in":[13],"range":[15],"1":[16],"<":[17,19,25],"f":[18],"200":[20],"and":[21],"3":[22],"\u2264":[23],"100,":[26],"000.":[27],"From":[28],"these":[29],"computational":[30],"results,":[31],"obtain":[33],"concrete":[34],"information":[35],"on":[36],"higher":[38],"K-groups":[39],"ring":[42],"integers":[44],"\u211a(\u221a\u0192).":[46]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
