{"id":"https://openalex.org/W3177768108","doi":"https://doi.org/10.1145/3452143.3465518","title":"The Anisotropic Part of a Quadratic Form over a Global Function Field","display_name":"The Anisotropic Part of a Quadratic Form over a Global Function Field","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3177768108","doi":"https://doi.org/10.1145/3452143.3465518","mag":"3177768108"},"language":"en","primary_location":{"id":"doi:10.1145/3452143.3465518","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5042303183","display_name":"Mawunyo Kofi Darkey-Mensah","orcid":"https://orcid.org/0000-0001-9938-2632"},"institutions":[{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Mawunyo Kofi Darkey-Mensah","raw_affiliation_strings":["University of Silesia, Katowice, Poland"],"affiliations":[{"raw_affiliation_string":"University of Silesia, Katowice, Poland","institution_ids":["https://openalex.org/I864159182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044009169","display_name":"Przemys\u0142aw Koprowski","orcid":"https://orcid.org/0000-0003-0952-5738"},"institutions":[{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Przemys\u0142aw Koprowski","raw_affiliation_strings":["University of Silesia, Katowice, Poland"],"affiliations":[{"raw_affiliation_string":"University of Silesia, Katowice, Poland","institution_ids":["https://openalex.org/I864159182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083085455","display_name":"Beata Rothkegel","orcid":"https://orcid.org/0000-0002-9953-5667"},"institutions":[{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Beata Rothkegel","raw_affiliation_strings":["University of Silesia, Katowice, Poland"],"affiliations":[{"raw_affiliation_string":"University of Silesia, Katowice, Poland","institution_ids":["https://openalex.org/I864159182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042303183"],"corresponding_institution_ids":["https://openalex.org/I864159182"],"apc_list":null,"apc_paid":null,"fwci":0.4154,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60399759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9987000226974487,"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":0.9987000226974487,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5937680006027222},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.580322802066803},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5402301549911499},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5309735536575317},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4225690960884094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3554547429084778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31201452016830444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2969092130661011},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2387336790561676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17878079414367676},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14052540063858032}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5937680006027222},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.580322802066803},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5402301549911499},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5309735536575317},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4225690960884094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3554547429084778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31201452016830444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2969092130661011},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2387336790561676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17878079414367676},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14052540063858032},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3452143.3465518","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W577276243","https://openalex.org/W1502881669","https://openalex.org/W1971871539","https://openalex.org/W1976677460","https://openalex.org/W1982264769","https://openalex.org/W2006590564","https://openalex.org/W2045546886","https://openalex.org/W2964140934","https://openalex.org/W3089907331","https://openalex.org/W3115205815","https://openalex.org/W3153972241","https://openalex.org/W4285370140"],"related_works":["https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W2101513891","https://openalex.org/W4386731488","https://openalex.org/W2024156986","https://openalex.org/W2995216836","https://openalex.org/W2027798872","https://openalex.org/W4385817362","https://openalex.org/W2765709060","https://openalex.org/W4320232412"],"abstract_inverted_index":{"We":[0],"present":[1],"two":[2],"new":[3],"algorithms":[4],"for":[5],"computing":[6],"an":[7],"anisotropic":[8],"part":[9],"of":[10,20],"a":[11,16],"non-degenerate":[12],"quadratic":[13],"form":[14],"over":[15],"global":[17],"function":[18],"field":[19],"odd":[21],"characteristic.":[22]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}