{"id":"https://openalex.org/W2592058106","doi":"https://doi.org/10.1145/3055282.3055290","title":"Representation of hypergeometric products in difference rings","display_name":"Representation of hypergeometric products in difference rings","publication_year":2017,"publication_date":"2017-02-22","ids":{"openalex":"https://openalex.org/W2592058106","doi":"https://doi.org/10.1145/3055282.3055290","mag":"2592058106"},"language":"en","primary_location":{"id":"doi:10.1145/3055282.3055290","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055282.3055290","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-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/A5007310005","display_name":"Evans Doe Ocansey","orcid":"https://orcid.org/0009-0007-4281-2567"},"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":"Evans Doe Ocansey","raw_affiliation_strings":["Johannes Kepler University, Linz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, Linz","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012740956","display_name":"Carsten Schneider","orcid":"https://orcid.org/0000-0002-5703-4530"},"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":"Carsten Schneider","raw_affiliation_strings":["Johannes Kepler University, Linz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, Linz","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0401313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"4","first_page":"161","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9955999851226807,"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":0.9955999851226807,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9779000282287598,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9315999746322632,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9588590860366821},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8023783564567566},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.6302260756492615},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.6051436066627502},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.578951358795166},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.529204249382019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47554752230644226},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4705237150192261},{"id":"https://openalex.org/keywords/transcendental-function","display_name":"Transcendental function","score":0.4704272747039795},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4030594229698181},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38108888268470764},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2533923387527466},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1166042685508728}],"concepts":[{"id":"https://openalex.org/C15341905","wikidata":"https://www.wikidata.org/wiki/Q2164293","display_name":"Telescoping series","level":2,"score":0.9588590860366821},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8023783564567566},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.6302260756492615},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6051436066627502},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.578951358795166},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.529204249382019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47554752230644226},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4705237150192261},{"id":"https://openalex.org/C43321923","wikidata":"https://www.wikidata.org/wiki/Q864333","display_name":"Transcendental function","level":2,"score":0.4704272747039795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4030594229698181},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38108888268470764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2533923387527466},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1166042685508728},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3055282.3055290","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055282.3055290","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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":14,"referenced_works":["https://openalex.org/W602391989","https://openalex.org/W1970359497","https://openalex.org/W1983693613","https://openalex.org/W2048214141","https://openalex.org/W2056453262","https://openalex.org/W2067240242","https://openalex.org/W2094965692","https://openalex.org/W2102981110","https://openalex.org/W2129208333","https://openalex.org/W2139308731","https://openalex.org/W2496417433","https://openalex.org/W2502395597","https://openalex.org/W2950330357","https://openalex.org/W3101169656"],"related_works":["https://openalex.org/W2162674514","https://openalex.org/W1481108397","https://openalex.org/W1792497233","https://openalex.org/W2314977061","https://openalex.org/W3183290492","https://openalex.org/W2120451642","https://openalex.org/W4378448846","https://openalex.org/W4300089223","https://openalex.org/W4387814077","https://openalex.org/W2523571232"],"abstract_inverted_index":{"In":[0],"his":[1],"pioneering":[2],"work":[3],"[1,":[4],"2],":[5],"Michael":[6],"Karr":[7],"introduced":[8],"\u03a0\u03a3-fields":[9],"which":[10],"provide":[11],"a":[12,37,70],"rather":[13],"general":[14],"framework":[15],"for":[16],"symbolic":[17],"summation.":[18],"He":[19],"worked":[20],"out":[21],"the":[22,43,54,62],"first":[23],"algorithmic":[24],"steps":[25],"to":[26],"represent":[27],"indefinite":[28],"nested":[29],"sums":[30],"and":[31,58,64],"products":[32],"as":[33,59],"transcendental":[34],"extensions":[35],"over":[36],"computable":[38],"ground":[39],"field":[40,44],"K":[41],"called":[42],"of":[45],"constants.":[46],"Furthermore,":[47],"he":[48],"presented":[49],"an":[50],"algorithm":[51],"that":[52],"solves":[53],"parameterized":[55],"telescoping":[56,63,66],"problem,":[57],"special":[60],"cases":[61],"creative":[65],"problems":[67],"[3]":[68],"within":[69],"given":[71],"\u03a0\u03a3-field.":[72]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
