{"id":"https://openalex.org/W4407402662","doi":"https://doi.org/10.1090/mcom/4066","title":"Efficient computation of non-archimedean theta functions","display_name":"Efficient computation of non-archimedean theta functions","publication_year":2025,"publication_date":"2025-02-12","ids":{"openalex":"https://openalex.org/W4407402662","doi":"https://doi.org/10.1090/mcom/4066"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4066","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4066","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076568489","display_name":"Marc Masdeu","orcid":"https://orcid.org/0000-0002-8763-5599"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]},{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marc Masdeu","raw_affiliation_strings":["Departament de Matem\u00c3\u00a0tiques, Universitat Aut\u00c3\u00b2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia; and Centre de Recerca Matem\u00c3\u00a0tica, Bellaterra, Barcelona, Catalonia","Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia; and Centre de Recerca Matem\u00e0tica, Bellaterra, Barcelona, Catalonia"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00c3\u00a0tiques, Universitat Aut\u00c3\u00b2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia; and Centre de Recerca Matem\u00c3\u00a0tica, Bellaterra, Barcelona, Catalonia","institution_ids":["https://openalex.org/I4210122226"]},{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia; and Centre de Recerca Matem\u00e0tica, Bellaterra, Barcelona, Catalonia","institution_ids":["https://openalex.org/I4210122226","https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071013097","display_name":"Xavier Xarles","orcid":null},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]},{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Xavier Xarles","raw_affiliation_strings":["Departament de Matem\u00c3\u00a0tiques, Universitat Aut\u00c3\u00b2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia","Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00c3\u00a0tiques, Universitat Aut\u00c3\u00b2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia","institution_ids":["https://openalex.org/I4210122226"]},{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia","institution_ids":["https://openalex.org/I123044942","https://openalex.org/I4210122226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076568489"],"corresponding_institution_ids":["https://openalex.org/I123044942","https://openalex.org/I4210122226"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04907085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"95","issue":"357","first_page":"457","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9959999918937683,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8989291191101074},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5740659832954407},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44654610753059387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35862964391708374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3272721767425537},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17161080241203308}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8989291191101074},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5740659832954407},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44654610753059387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35862964391708374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3272721767425537},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17161080241203308}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4066","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4066","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1264927793","display_name":null,"funder_award_id":"PID2020-116542GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2162583510","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320323737","funder_display_name":"Ministerio de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G2199158094","display_name":null,"funder_award_id":"PID2020-116542GB-I00","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G6465384490","display_name":null,"funder_award_id":"PID2020-116542GB-I00","funder_id":"https://openalex.org/F4320323737","funder_display_name":"Ministerio de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G7476827183","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320315803","funder_display_name":"Centres de Recerca de Catalunya"},{"id":"https://openalex.org/G84477964","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315803","display_name":"Centres de Recerca de Catalunya","ror":null},{"id":"https://openalex.org/F4320323737","display_name":"Ministerio de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W644274252","https://openalex.org/W2078131426","https://openalex.org/W2558714084","https://openalex.org/W2770652407","https://openalex.org/W3108001154","https://openalex.org/W3174364268","https://openalex.org/W4205940403"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W4251748586"],"abstract_inverted_index":{"We":[0],"describe":[1],"an":[2],"efficient":[3],"iterative":[4],"algorithm":[5],"for":[6],"the":[7],"computation":[8],"of":[9,12,19],"theta":[10],"functions":[11],"non-archimedean":[13],"Schottky":[14],"groups":[15],"and,":[16],"more":[17],"generally,":[18],"(non-archimedean)":[20],"discontinuous":[21],"groups.":[22]},"counts_by_year":[],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}