{"id":"https://openalex.org/W2118513104","doi":"https://doi.org/10.1145/2608628.2608638","title":"Parallel telescoping and parameterized Picard-Vessiot theory","display_name":"Parallel telescoping and parameterized Picard-Vessiot theory","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2118513104","doi":"https://doi.org/10.1145/2608628.2608638","mag":"2118513104"},"language":"en","primary_location":{"id":"doi:10.1145/2608628.2608638","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th 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":false,"raw_author_name":"Shaoshi Chen","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, Beijing, (China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, (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, Beijing, (China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, (China)","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040935769","display_name":"Ziming Li","orcid":"https://orcid.org/0000-0003-0964-6724"},"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":"Ziming Li","raw_affiliation_strings":["KLMM, AMSS, Chinese Academy of Sciences, Beijing, (China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, (China)","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071271321","display_name":"Michael F. Singer","orcid":"https://orcid.org/0000-0001-6526-8313"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael F. Singer","raw_affiliation_strings":["NCSU, Raleigh","NCSU, Raleigh#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NCSU, Raleigh","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"NCSU, Raleigh#TAB#","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1014,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79696859,"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":"99","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.982200026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/telescoping-series","display_name":"Telescoping series","score":0.9081745147705078},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8401910066604614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.606695294380188},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.37748128175735474},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3243097960948944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24581995606422424},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17763885855674744}],"concepts":[{"id":"https://openalex.org/C15341905","wikidata":"https://www.wikidata.org/wiki/Q2164293","display_name":"Telescoping series","level":2,"score":0.9081745147705078},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8401910066604614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.606695294380188},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.37748128175735474},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3243097960948944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24581995606422424},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17763885855674744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2608628.2608638","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2608628.2608638","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.433.5377","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.5377","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www4.ncsu.edu/eos/users/s/singer/www/papers/ParaTel.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.2780","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.2780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.4666.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W186562849","https://openalex.org/W1487429669","https://openalex.org/W1490009633","https://openalex.org/W1560726565","https://openalex.org/W1628154048","https://openalex.org/W1961574916","https://openalex.org/W1966664467","https://openalex.org/W1973360680","https://openalex.org/W1975426154","https://openalex.org/W1987867396","https://openalex.org/W1999806526","https://openalex.org/W2003784450","https://openalex.org/W2018339436","https://openalex.org/W2019367635","https://openalex.org/W2022225037","https://openalex.org/W2026226892","https://openalex.org/W2032125006","https://openalex.org/W2063861172","https://openalex.org/W2064305618","https://openalex.org/W2064601098","https://openalex.org/W2068632663","https://openalex.org/W2087236044","https://openalex.org/W2094965692","https://openalex.org/W2101235410","https://openalex.org/W2107954625","https://openalex.org/W2115432992","https://openalex.org/W2128471228","https://openalex.org/W2138266414","https://openalex.org/W2319010078","https://openalex.org/W2473001721","https://openalex.org/W2497281012","https://openalex.org/W2506597894","https://openalex.org/W2963375042","https://openalex.org/W3098007838","https://openalex.org/W3099568133","https://openalex.org/W3102026983","https://openalex.org/W3103772451","https://openalex.org/W4234835606","https://openalex.org/W4250720901","https://openalex.org/W6816814804","https://openalex.org/W6929466896"],"related_works":["https://openalex.org/W2952722531","https://openalex.org/W2949268437","https://openalex.org/W4301880949","https://openalex.org/W2162674514","https://openalex.org/W1672862537","https://openalex.org/W2357085366","https://openalex.org/W4243252198","https://openalex.org/W2135396778","https://openalex.org/W2109507516","https://openalex.org/W1604898313"],"abstract_inverted_index":{"Parallel":[0],"telescoping":[1,87],"is":[2],"a":[3,17,24,44,49],"natural":[4],"generalization":[5],"of":[6,35,43,57,79,92,97],"differential":[7,20,95],"creative-telescoping":[8],"for":[9,27,60,72,88],"single":[10,45],"integrals":[11],"to":[12,37,68],"line":[13,81],"integrals.":[14],"It":[15],"computes":[16],"linear":[18],"ordinary":[19],"operator":[21],"L,":[22],"called":[23],"parallel":[25,58,86],"telescoper,":[26],"several":[28],"multivariate":[29],"functions,":[30,63],"such":[31],"that":[32],"the":[33,38,55,85],"application":[34],"L":[36],"functions":[39],"yields":[40],"partial":[41,94],"derivatives":[42],"function.":[46],"We":[47],"present":[48],"necessary":[50],"and":[51,64],"sufficient":[52],"condition":[53],"guaranteeing":[54],"existence":[56],"telescopers":[59],"differentially":[61],"finite":[62],"develop":[65],"an":[66],"algorithm":[67],"compute":[69],"minimal":[70],"ones":[71],"compatible":[73],"hyperexponential":[74],"functions.":[75],"Besides":[76],"computing":[77],"annihilators":[78],"parametric":[80],"integrals,":[82],"we":[83],"use":[84],"determining":[89],"Galois":[90],"groups":[91],"parameterized":[93],"systems":[96],"first":[98],"order.":[99]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}