{"id":"https://openalex.org/W7104562485","doi":"https://doi.org/10.1145/3747199.3747548","title":"Non-minimality of minimal telescopers explained by residues","display_name":"Non-minimality of minimal telescopers explained by residues","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W7104562485","doi":"https://doi.org/10.1145/3747199.3747548"},"language":null,"primary_location":{"id":"doi:10.1145/3747199.3747548","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747548","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3747199.3747548","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":null,"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"]}],"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, China"],"raw_orcid":"https://orcid.org/0000-0001-8756-3006","affiliations":[{"raw_affiliation_string":"KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Manuel Kauers","orcid":"https://orcid.org/0000-0001-8641-6661"},"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":"Manuel Kauers","raw_affiliation_strings":["Institute for Algebra, Institute for Algebra, Johannes Kepler University Linz, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0001-8641-6661","affiliations":[{"raw_affiliation_string":"Institute for Algebra, Institute for Algebra, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Christoph Koutschan","orcid":"https://orcid.org/0000-0003-1135-3082"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christoph Koutschan","raw_affiliation_strings":["RICAM, Austrian Academy of Sciences, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0003-1135-3082","affiliations":[{"raw_affiliation_string":"RICAM, Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xiuyun Li","orcid":"https://orcid.org/0009-0007-9533-3439"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuyun Li","raw_affiliation_strings":["KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0007-9533-3439","affiliations":[{"raw_affiliation_string":"KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rong-Hua Wang","orcid":"https://orcid.org/0009-0002-0832-3245"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong-Hua Wang","raw_affiliation_strings":["School of Mathematical Sciences, Tiangong University, Tianjin, China"],"raw_orcid":"https://orcid.org/0009-0002-0832-3245","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tiangong University, Tianjin, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yisen Wang","orcid":"https://orcid.org/0009-0008-6352-051X"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yisen Wang","raw_affiliation_strings":["KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0008-6352-051X","affiliations":[{"raw_affiliation_string":"KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.61649702,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"70","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.2160000056028366,"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"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.2160000056028366,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.09120000153779984,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.05730000138282776,"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/telescoping-series","display_name":"Telescoping series","score":0.4641000032424927},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45719999074935913},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.23260000348091125},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.22089999914169312}],"concepts":[{"id":"https://openalex.org/C15341905","wikidata":"https://www.wikidata.org/wiki/Q2164293","display_name":"Telescoping series","level":2,"score":0.4641000032424927},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45719999074935913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4124999940395355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36410000920295715},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23810000717639923},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.23260000348091125},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.22089999914169312},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.22020000219345093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2159000039100647},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.2151000052690506}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3747199.3747548","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747548","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3747199.3747548","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3747199.3747548","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2354100076","display_name":null,"funder_award_id":"12271511 and 12101449","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7109911064","display_name":null,"funder_award_id":"2020YFA0712300 and 2023YFA1009401","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1524062768","https://openalex.org/W1980283844","https://openalex.org/W1996666775","https://openalex.org/W2004886290","https://openalex.org/W2008868368","https://openalex.org/W2029108302","https://openalex.org/W2036893080","https://openalex.org/W2044750531","https://openalex.org/W2054163949","https://openalex.org/W2072051683","https://openalex.org/W2078853618","https://openalex.org/W2083191592","https://openalex.org/W2094965692","https://openalex.org/W2117392239","https://openalex.org/W2122300900","https://openalex.org/W2145236745","https://openalex.org/W2238509486","https://openalex.org/W2344598337","https://openalex.org/W2610309808","https://openalex.org/W2962868185","https://openalex.org/W2964136158","https://openalex.org/W3215778689","https://openalex.org/W4225388203","https://openalex.org/W4249514512","https://openalex.org/W4250720901","https://openalex.org/W4388495447","https://openalex.org/W4399303120","https://openalex.org/W4400650230","https://openalex.org/W4403699044"],"related_works":[],"abstract_inverted_index":{"Elaborating":[0],"on":[1,37],"an":[2,34],"approach":[3],"recently":[4],"proposed":[5],"by":[6],"Mark":[7],"van":[8],"Hoeij,":[9],"we":[10],"continue":[11],"to":[12,19],"investigate":[13],"why":[14],"creative":[15],"telescoping":[16],"occasionally":[17],"fails":[18],"find":[20],"the":[21,38],"minimal-order":[22],"annihilating":[23],"operator":[24],"of":[25,40],"a":[26],"given":[27],"definite":[28],"sum":[29],"or":[30],"integral.":[31],"We":[32],"offer":[33],"explanation":[35],"based":[36],"consideration":[39],"residues.":[41]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-11-10T00:00:00"}
