{"id":"https://openalex.org/W4409737726","doi":"https://doi.org/10.1007/s10208-025-09710-0","title":"Symbolic Summation of Multivariate Rational Functions","display_name":"Symbolic Summation of Multivariate Rational Functions","publication_year":2025,"publication_date":"2025-04-24","ids":{"openalex":"https://openalex.org/W4409737726","doi":"https://doi.org/10.1007/s10208-025-09710-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-025-09710-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-025-09710-0","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"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/A5070141631","display_name":"Shaoshi Chen","orcid":"https://orcid.org/0000-0001-8756-3006"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shaoshi Chen","raw_affiliation_strings":["KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026656079","display_name":"Lixin Du","orcid":"https://orcid.org/0009-0008-1166-1062"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Lixin Du","raw_affiliation_strings":["Institute for Algebra, Johannes Kepler University, 4040, Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Algebra, Johannes Kepler University, 4040, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080338552","display_name":"Hanqian Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hanqian Fang","raw_affiliation_strings":["KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070141631"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":12.4811,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.97705545,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"1635","last_page":"1697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.98580002784729,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9677000045776367,"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":0.8240090608596802},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6181586384773254},{"id":"https://openalex.org/keywords/summation-by-parts","display_name":"Summation by parts","score":0.5297045707702637},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4733726382255554},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.46585899591445923},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.46093976497650146},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3966497778892517},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38753098249435425},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3408289849758148},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28381937742233276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2711966633796692},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2348690629005432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8240090608596802},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6181586384773254},{"id":"https://openalex.org/C13626590","wikidata":"https://www.wikidata.org/wiki/Q318754","display_name":"Summation by parts","level":2,"score":0.5297045707702637},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4733726382255554},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.46585899591445923},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.46093976497650146},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3966497778892517},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38753098249435425},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3408289849758148},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28381937742233276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2711966633796692},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2348690629005432},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-025-09710-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-025-09710-0","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W211828301","https://openalex.org/W1528083577","https://openalex.org/W1544576802","https://openalex.org/W1561337879","https://openalex.org/W1672862537","https://openalex.org/W1965455841","https://openalex.org/W1976019094","https://openalex.org/W1983693613","https://openalex.org/W1985138225","https://openalex.org/W1990568802","https://openalex.org/W1991191994","https://openalex.org/W1997229336","https://openalex.org/W1997864729","https://openalex.org/W1998769190","https://openalex.org/W2002069351","https://openalex.org/W2002188635","https://openalex.org/W2015161630","https://openalex.org/W2018339436","https://openalex.org/W2028444458","https://openalex.org/W2028698044","https://openalex.org/W2032980094","https://openalex.org/W2034438073","https://openalex.org/W2044750531","https://openalex.org/W2046078423","https://openalex.org/W2062008691","https://openalex.org/W2064305618","https://openalex.org/W2067240242","https://openalex.org/W2067896061","https://openalex.org/W2071215586","https://openalex.org/W2071271934","https://openalex.org/W2071577774","https://openalex.org/W2071827924","https://openalex.org/W2078853618","https://openalex.org/W2093416591","https://openalex.org/W2094965692","https://openalex.org/W2095461769","https://openalex.org/W2111962563","https://openalex.org/W2120802615","https://openalex.org/W2127861036","https://openalex.org/W2135134285","https://openalex.org/W2141563804","https://openalex.org/W2145236745","https://openalex.org/W2150559011","https://openalex.org/W2153531485","https://openalex.org/W2166789519","https://openalex.org/W2238509486","https://openalex.org/W2250444211","https://openalex.org/W2317070658","https://openalex.org/W2318653117","https://openalex.org/W2483492749","https://openalex.org/W2560570554","https://openalex.org/W2600802351","https://openalex.org/W2601313044","https://openalex.org/W2610309808","https://openalex.org/W2611625450","https://openalex.org/W2911497918","https://openalex.org/W2942184499","https://openalex.org/W2950330357","https://openalex.org/W2962773007","https://openalex.org/W2964136158","https://openalex.org/W2990005347","https://openalex.org/W3081385954","https://openalex.org/W4230230098","https://openalex.org/W4243410516","https://openalex.org/W4249411154","https://openalex.org/W4251793410","https://openalex.org/W4400650230","https://openalex.org/W4406853063","https://openalex.org/W6766135788"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W40745829","https://openalex.org/W4318262572","https://openalex.org/W1978357124","https://openalex.org/W1578824628","https://openalex.org/W2032728545","https://openalex.org/W1570805059","https://openalex.org/W4250754046","https://openalex.org/W4243682621","https://openalex.org/W2036849593"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
