{"id":"https://openalex.org/W2167434745","doi":"https://doi.org/10.1090/s0025-5718-00-01189-3","title":"Tamagawa numbers of diagonal cubic surfaces, numerical evidence","display_name":"Tamagawa numbers of diagonal cubic surfaces, numerical evidence","publication_year":2000,"publication_date":"2000-06-12","ids":{"openalex":"https://openalex.org/W2167434745","doi":"https://doi.org/10.1090/s0025-5718-00-01189-3","mag":"2167434745"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-00-01189-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01189-3","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01189-3/S0025-5718-00-01189-3.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/2001-70-233/S0025-5718-00-01189-3/S0025-5718-00-01189-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080832532","display_name":"Emmanuel Peyre","orcid":"https://orcid.org/0000-0002-1739-7775"},"institutions":[{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Emmanuel Peyre","raw_affiliation_strings":["Institut de Recherche Math\u00c3\u00a9matique Avanc\u00c3\u00a9e, Universit\u00c3\u00a9 Louis Pasteur et C.N.R.S., 7 rue Ren\u00c3\u00a9-Descartes, 67084 Strasbourg, France","Institut de Recherche Math\u00e9matique Avanc\u00e9e, Universit\u00e9 Louis Pasteur et C.N.R.S., 7 rue Ren\u00e9-Descartes, 67084 Strasbourg, France"],"affiliations":[{"raw_affiliation_string":"Institut de Recherche Math\u00c3\u00a9matique Avanc\u00c3\u00a9e, Universit\u00c3\u00a9 Louis Pasteur et C.N.R.S., 7 rue Ren\u00c3\u00a9-Descartes, 67084 Strasbourg, France","institution_ids":["https://openalex.org/I4210118362"]},{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique Avanc\u00e9e, Universit\u00e9 Louis Pasteur et C.N.R.S., 7 rue Ren\u00e9-Descartes, 67084 Strasbourg, France","institution_ids":["https://openalex.org/I4210118362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023198060","display_name":"Yuri Tschinkel","orcid":"https://orcid.org/0000-0002-8310-7107"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuri Tschinkel","raw_affiliation_strings":["Department of Mathematics, University of Illinois in Chicago, 851 South Morgan Street, Chicago IL 60607-7045, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois in Chicago, 851 South Morgan Street, Chicago IL 60607-7045, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080832532"],"corresponding_institution_ids":["https://openalex.org/I4210118362"],"apc_list":null,"apc_paid":null,"fwci":2.5072,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.89375085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"233","first_page":"367","last_page":"387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9993000030517578,"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":0.993399977684021,"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":0.893484890460968},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.8763526678085327},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8083645105361938},{"id":"https://openalex.org/keywords/fano-plane","display_name":"Fano plane","score":0.657467782497406},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6182525157928467},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4458410143852234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4194287061691284},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40062248706817627},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35387158393859863}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.893484890460968},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8763526678085327},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8083645105361938},{"id":"https://openalex.org/C39757861","wikidata":"https://www.wikidata.org/wiki/Q1395814","display_name":"Fano plane","level":2,"score":0.657467782497406},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6182525157928467},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4458410143852234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4194287061691284},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40062248706817627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35387158393859863}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1090/s0025-5718-00-01189-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01189-3","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01189-3/S0025-5718-00-01189-3.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:10.1.1.207.2508","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.207.2508","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/2001-70-233/S0025-5718-00-01189-3/S0025-5718-00-01189-3.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.757.9605","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.757.9605","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/9809054.pdf","raw_type":"text"},{"id":"pmh:oai:goescholar:1/2731","is_oa":true,"landing_page_url":"http://resolver.sub.uni-goettingen.de/purl?goescholar/2731","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journalArticle"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/162898","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/93728","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"submitted_version"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/60989","is_oa":false,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?goescholar/2731","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal_article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-00-01189-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01189-3","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01189-3/S0025-5718-00-01189-3.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":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2167434745.pdf","grobid_xml":"https://content.openalex.org/works/W2167434745.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W66820687","https://openalex.org/W1496801598","https://openalex.org/W1592261758","https://openalex.org/W1595746051","https://openalex.org/W1669832046","https://openalex.org/W1692727528","https://openalex.org/W1989446367","https://openalex.org/W1993619151","https://openalex.org/W2018446591","https://openalex.org/W2044546206","https://openalex.org/W2087607613","https://openalex.org/W2110143202","https://openalex.org/W2314530875","https://openalex.org/W2963651684","https://openalex.org/W4205524992","https://openalex.org/W4205948657","https://openalex.org/W4233185505","https://openalex.org/W4248237332","https://openalex.org/W4253408421","https://openalex.org/W6637379190","https://openalex.org/W6966759829"],"related_works":["https://openalex.org/W2299797353","https://openalex.org/W2963608484","https://openalex.org/W3102408541","https://openalex.org/W3026358768","https://openalex.org/W2964292522","https://openalex.org/W2096753949","https://openalex.org/W2090323026","https://openalex.org/W2897153210","https://openalex.org/W2140322310","https://openalex.org/W3217230002"],"abstract_inverted_index":{"A":[0],"refined":[1,29],"version":[2],"of":[3,9,11],"Manin\u2019s":[4],"conjecture":[5,30],"about":[6],"the":[7,23],"asymptotics":[8],"points":[10],"bounded":[12],"height":[13],"on":[14],"Fano":[15],"varieties":[16],"has":[17],"been":[18],"developed":[19],"by":[20],"Batyrev":[21],"and":[22],"authors.":[24],"We":[25],"test":[26],"numerically":[27],"this":[28],"for":[31],"some":[32],"diagonal":[33],"cubic":[34],"surfaces.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}