{"id":"https://openalex.org/W2961504112","doi":"https://doi.org/10.1145/3326229.3326277","title":"A Reduction Approach to Creative Telescoping","display_name":"A Reduction Approach to Creative Telescoping","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2961504112","doi":"https://doi.org/10.1145/3326229.3326277","mag":"2961504112"},"language":"en","primary_location":{"id":"doi:10.1145/3326229.3326277","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 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/A5070141631","display_name":"Shaoshi Chen","orcid":"https://orcid.org/0000-0001-8756-3006"},"institutions":[{"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":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences &amp; University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences &amp; University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070141631"],"corresponding_institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.194,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.52730421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"11","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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":0.9994000196456909,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9810000061988831,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9725000262260437,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9426599144935608},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6533727645874023},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.6440460681915283},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.6254311800003052},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5379183292388916},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5340098142623901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5214380621910095},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.48490267992019653},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45743328332901},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43635907769203186},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41402193903923035},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4129233658313751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3835098445415497},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25118857622146606},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10508257150650024},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09911307692527771}],"concepts":[{"id":"https://openalex.org/C15341905","wikidata":"https://www.wikidata.org/wiki/Q2164293","display_name":"Telescoping series","level":2,"score":0.9426599144935608},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6533727645874023},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.6440460681915283},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.6254311800003052},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5379183292388916},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5340098142623901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5214380621910095},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.48490267992019653},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45743328332901},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43635907769203186},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41402193903923035},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4129233658313751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3835098445415497},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25118857622146606},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10508257150650024},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09911307692527771},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3326229.3326277","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326277","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W85842158","https://openalex.org/W186562849","https://openalex.org/W357246120","https://openalex.org/W1542029499","https://openalex.org/W1569661092","https://openalex.org/W1951971239","https://openalex.org/W1966200565","https://openalex.org/W1966664467","https://openalex.org/W1974945857","https://openalex.org/W1977049875","https://openalex.org/W1988305335","https://openalex.org/W1989461817","https://openalex.org/W1991191994","https://openalex.org/W1996666775","https://openalex.org/W1998769190","https://openalex.org/W2009809943","https://openalex.org/W2014529751","https://openalex.org/W2018339436","https://openalex.org/W2019572090","https://openalex.org/W2027384932","https://openalex.org/W2028698044","https://openalex.org/W2030291354","https://openalex.org/W2034438073","https://openalex.org/W2044750531","https://openalex.org/W2063489833","https://openalex.org/W2064305618","https://openalex.org/W2068632663","https://openalex.org/W2069101812","https://openalex.org/W2078853618","https://openalex.org/W2079232464","https://openalex.org/W2083013659","https://openalex.org/W2083191592","https://openalex.org/W2083542174","https://openalex.org/W2087236044","https://openalex.org/W2094965692","https://openalex.org/W2115861986","https://openalex.org/W2117392239","https://openalex.org/W2129936432","https://openalex.org/W2135134285","https://openalex.org/W2140443967","https://openalex.org/W2145236745","https://openalex.org/W2145697001","https://openalex.org/W2238509486","https://openalex.org/W2252746338","https://openalex.org/W2329406798","https://openalex.org/W2344598337","https://openalex.org/W2395656192","https://openalex.org/W2473001721","https://openalex.org/W2491331849","https://openalex.org/W2497351272","https://openalex.org/W2555727860","https://openalex.org/W2600802351","https://openalex.org/W2610309808","https://openalex.org/W2788877325","https://openalex.org/W2802606359","https://openalex.org/W2807666295","https://openalex.org/W2942184499","https://openalex.org/W2950330357","https://openalex.org/W2962773007","https://openalex.org/W2963173937","https://openalex.org/W2964148241","https://openalex.org/W2998834702","https://openalex.org/W3098391636","https://openalex.org/W3100202563","https://openalex.org/W3101869060","https://openalex.org/W3102099803","https://openalex.org/W3105373387","https://openalex.org/W3171972652","https://openalex.org/W4250720901","https://openalex.org/W4300114151"],"related_works":["https://openalex.org/W2369672661","https://openalex.org/W2139705278","https://openalex.org/W2083801735","https://openalex.org/W2050940026","https://openalex.org/W1607802076","https://openalex.org/W2949268437","https://openalex.org/W2913527140","https://openalex.org/W1968538972","https://openalex.org/W124687562","https://openalex.org/W2189588242"],"abstract_inverted_index":{"Creative":[0],"telescoping":[1,29,53,73,161],"is":[2,70],"the":[3,6,19,25,71,79,90,96,101,157],"core":[4],"in":[5,18,36,86,116,151],"algorithmic":[7,57],"proof":[8],"theory":[9],"of":[10,27,46,98,104,127,159,168],"combinatorial":[11],"identities":[12],"developed":[13,50],"by":[14],"Wilf":[15],"and":[16,66,82,137,154,164],"Zeilberger":[17],"early":[20],"1990s.":[21],"For":[22],"multivariate":[23],"functions,":[24,128,132],"process":[26],"creative":[28,52,160],"constructs":[30],"linear":[31],"differential":[32],"or":[33],"recurrence":[34],"operators":[35,40],"one":[37,69],"variable.":[38],"Such":[39],"are":[41,61,76],"called":[42],"telescopers.":[43],"Four":[44],"classes":[45,126],"algorithms":[47,74,150],"have":[48],"been":[49,121],"for":[51,112],"according":[54],"to":[55,123],"different":[56],"techniques":[58],"that":[59,75,93],"they":[60,94],"based":[62,77],"on.":[63],"The":[64],"fourth":[65],"most":[67,138],"recent":[68],"reduction-based":[72],"on":[78],"Ostrogradsky-Hermite":[80],"reduction":[81,149],"its":[83],"variants.":[84],"Algorithms":[85],"this":[87,143,169],"class":[88],"share":[89],"common":[91],"feature":[92],"separate":[95],"computation":[97,103],"telescopers":[99],"from":[100],"costly":[102],"certificates.":[105],"This":[106],"idea":[107,158],"was":[108],"first":[109],"worked":[110],"out":[111],"bivariate":[113],"rational":[114],"functions":[115,136],"2010.":[117],"It":[118],"has":[119],"since":[120],"extended":[122],"more":[124],"general":[125],"such":[129],"as":[130],"hyperexponential":[131],"hypergeometric":[133],"terms,":[134],"algebraic":[135],"recently":[139],"D-finite":[140],"functions.":[141],"In":[142],"tutorial,":[144],"we":[145],"will":[146],"overview":[147],"several":[148],"symbolic":[152],"integration":[153],"summation,":[155],"explain":[156],"via":[162],"reductions,":[163],"present":[165],"intriguing":[166],"applications":[167],"new":[170],"approach.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
