{"id":"https://openalex.org/W2888000718","doi":"https://doi.org/10.1007/978-3-319-99957-9_3","title":"A Formal Proof of the Computation of Hermite Normal Form in a General Setting","display_name":"A Formal Proof of the Computation of Hermite Normal Form in a General Setting","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2888000718","doi":"https://doi.org/10.1007/978-3-319-99957-9_3","mag":"2888000718"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-99957-9_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99957-9_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5079015937","display_name":"Jose Divas\u00f3n","orcid":"https://orcid.org/0000-0002-5173-128X"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose Divas\u00f3n","raw_affiliation_strings":["Universidad de La Rioja, Logro\u00f1o, La Rioja, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de La Rioja, Logro\u00f1o, La Rioja, Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080472921","display_name":"Jes\u00fas Aransay","orcid":"https://orcid.org/0000-0002-4079-8307"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Aransay","raw_affiliation_strings":["Universidad de La Rioja, Logro\u00f1o, La Rioja, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de La Rioja, Logro\u00f1o, La Rioja, Spain","institution_ids":["https://openalex.org/I168974976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079015937"],"corresponding_institution_ids":["https://openalex.org/I168974976"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10430574,"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":"37","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9869999885559082,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9591000080108643,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/computer-science","display_name":"Computer science","score":0.7466853857040405},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.6261221170425415},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5921915173530579},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.45926108956336975},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.45059144496917725},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44487518072128296},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4023696482181549},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3662317395210266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17163342237472534},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1613267958164215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11735537648200989},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07213267683982849}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7466853857040405},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.6261221170425415},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5921915173530579},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.45926108956336975},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.45059144496917725},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44487518072128296},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4023696482181549},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3662317395210266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17163342237472534},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1613267958164215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11735537648200989},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07213267683982849},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-99957-9_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99957-9_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:portal.dialnet.es:doc/5cf1214a2999525b985d0525","is_oa":false,"landing_page_url":"https://investigacion.unirioja.es/documentos/5cf1214a2999525b985d0525","pdf_url":null,"source":{"id":"https://openalex.org/S4306402551","display_name":"RIUR (Universidad de La Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3032752892","host_organization_name":"Universidad Internacional de La Rioja","host_organization_lineage":["https://openalex.org/I3032752892"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W101424827","https://openalex.org/W121484200","https://openalex.org/W1496801598","https://openalex.org/W1521087854","https://openalex.org/W1594960997","https://openalex.org/W1917124243","https://openalex.org/W1968315351","https://openalex.org/W1971882029","https://openalex.org/W1978149312","https://openalex.org/W1978762859","https://openalex.org/W2015224901","https://openalex.org/W2032980094","https://openalex.org/W2061969020","https://openalex.org/W2062604685","https://openalex.org/W2065304692","https://openalex.org/W2069336915","https://openalex.org/W2071271934","https://openalex.org/W2091456056","https://openalex.org/W2093262333","https://openalex.org/W2113181166","https://openalex.org/W2126690912","https://openalex.org/W2136310957","https://openalex.org/W2239353921","https://openalex.org/W2256286306","https://openalex.org/W2295544473","https://openalex.org/W2396167768","https://openalex.org/W2405070454","https://openalex.org/W2408134586","https://openalex.org/W2420264810","https://openalex.org/W2471798638","https://openalex.org/W2477568018","https://openalex.org/W2750465938","https://openalex.org/W3104555329","https://openalex.org/W4250846042"],"related_works":["https://openalex.org/W4383100562","https://openalex.org/W175020571","https://openalex.org/W1965919058","https://openalex.org/W1628946225","https://openalex.org/W2323905825","https://openalex.org/W4294204420","https://openalex.org/W2952295687","https://openalex.org/W3083488279","https://openalex.org/W4231775656","https://openalex.org/W2332553750"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
