{"id":"https://openalex.org/W4400650757","doi":"https://doi.org/10.1145/3666000.3669678","title":"Parallel Summation in P-Recursive Extensions","display_name":"Parallel Summation in P-Recursive Extensions","publication_year":2024,"publication_date":"2024-07-15","ids":{"openalex":"https://openalex.org/W4400650757","doi":"https://doi.org/10.1145/3666000.3669678"},"language":"en","primary_location":{"id":"doi:10.1145/3666000.3669678","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3666000.3669678","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 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/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shaoshi Chen","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, China"],"raw_orcid":"https://orcid.org/0000-0001-8756-3006","affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050890628","display_name":"Ruyong Feng","orcid":"https://orcid.org/0000-0001-6508-8486"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruyong Feng","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, China"],"raw_orcid":"https://orcid.org/0000-0001-6508-8486","affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007541022","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, Johannes Kepler University, Austria"],"raw_orcid":"https://orcid.org/0000-0001-8641-6661","affiliations":[{"raw_affiliation_string":"Institute for Algebra, Johannes Kepler University, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020181003","display_name":"Xiuyun Li","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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuyun Li","raw_affiliation_strings":["Institute for Algebra, Johannes Kepler University, China and KLMM, AMSS, Chinese Academy of Sciences, China"],"raw_orcid":"https://orcid.org/0009-0007-9533-3439","affiliations":[{"raw_affiliation_string":"Institute for Algebra, Johannes Kepler University, China and KLMM, AMSS, Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070141631"],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":null,"apc_paid":null,"fwci":0.3457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60804723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"82","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9976000189781189,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9976000189781189,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9961000084877014,"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":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6374174952507019},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5368341207504272}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6374174952507019},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5368341207504272}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3666000.3669678","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3666000.3669678","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7399729139","display_name":null,"funder_award_id":"2023YFA1009401 and 2020YFA0712300","funder_id":"https://openalex.org/F4320323817","funder_display_name":"Universitas Brawijaya"}],"funders":[{"id":"https://openalex.org/F4320323817","display_name":"Universitas Brawijaya","ror":"https://ror.org/01wk3d929"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W602391989","https://openalex.org/W1543376604","https://openalex.org/W1551177513","https://openalex.org/W1966324386","https://openalex.org/W1971497196","https://openalex.org/W1983693613","https://openalex.org/W1985818610","https://openalex.org/W1988536817","https://openalex.org/W2002084630","https://openalex.org/W2009471672","https://openalex.org/W2019367635","https://openalex.org/W2028698044","https://openalex.org/W2064305618","https://openalex.org/W2065591699","https://openalex.org/W2067240242","https://openalex.org/W2068728923","https://openalex.org/W2083121165","https://openalex.org/W2085350446","https://openalex.org/W2087893470","https://openalex.org/W2091755092","https://openalex.org/W2094965692","https://openalex.org/W2102215343","https://openalex.org/W2119371075","https://openalex.org/W2153531485","https://openalex.org/W2153757816","https://openalex.org/W2164096820","https://openalex.org/W2483492749","https://openalex.org/W2496417433","https://openalex.org/W2581153996","https://openalex.org/W2918466505","https://openalex.org/W3098139993","https://openalex.org/W3180103587","https://openalex.org/W4210531060","https://openalex.org/W4234642783","https://openalex.org/W4300473623","https://openalex.org/W4401450484","https://openalex.org/W7139033639"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382290278","https://openalex.org/W4395014643"],"abstract_inverted_index":{"We":[0,12,79],"propose":[1],"investigating":[2],"a":[3,33,41,75],"summation":[4,20,30],"analog":[5],"of":[6,74],"the":[7,29,51,54,67,72,83,95,100,113],"paradigm":[8],"for":[9,112],"parallel":[10],"integration.":[11],"make":[13],"some":[14,106],"first":[15],"steps":[16],"towards":[17],"an":[18],"indefinite":[19],"method":[21,86],"applicable":[22],"to":[23,65],"summands":[24],"that":[25,53],"rationally":[26],"depend":[27],"on":[28],"index":[31],"and":[32,36,46],"P-recursive":[34],"sequence":[35],"its":[37],"shifts.":[38],"There":[39],"is":[40,87],"distinction":[42],"between":[43],"so-called":[44,47],"normal":[45,68],"special":[48,96,110],"polynomials.":[49],"Under":[50],"assumption":[52],"corresponding":[55],"difference":[56],"field":[57],"has":[58],"no":[59],"unnatural":[60],"constants,":[61],"we":[62,92,103],"are":[63],"able":[64],"predict":[66,94],"polynomials":[69,97,111],"appearing":[70,98],"in":[71,99],"denominator":[73],"potential":[76],"closed":[77],"form.":[78],"can":[80],"also":[81],"handle":[82],"numerator.":[84],"Our":[85],"incomplete":[88],"so":[89],"far":[90],"as":[91],"cannot":[93],"denominator.":[101],"However,":[102],"do":[104],"have":[105],"structural":[107],"results":[108],"about":[109],"setting":[114],"under":[115],"consideration.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}