{"id":"https://openalex.org/W2994738128","doi":"https://doi.org/10.1145/3377006.3377013","title":"An additive decomposition in multiple logarithmic extensions","display_name":"An additive decomposition in multiple logarithmic extensions","publication_year":2019,"publication_date":"2019-12-17","ids":{"openalex":"https://openalex.org/W2994738128","doi":"https://doi.org/10.1145/3377006.3377013","mag":"2994738128"},"language":"en","primary_location":{"id":"doi:10.1145/3377006.3377013","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3377006.3377013","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/A5101812638","display_name":"Hao Du","orcid":"https://orcid.org/0000-0002-8370-5238"},"institutions":[{"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":false,"raw_author_name":"Hao Du","raw_affiliation_strings":["University of Chinese Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076041165","display_name":"Jing Guo","orcid":"https://orcid.org/0000-0001-8049-9021"},"institutions":[{"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":false,"raw_author_name":"Jing Guo","raw_affiliation_strings":["University of Chinese Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101651748","display_name":"Ziming Li","orcid":"https://orcid.org/0009-0004-7529-7176"},"institutions":[{"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":false,"raw_author_name":"Ziming Li","raw_affiliation_strings":["University of Chinese Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":0.20077735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"3","first_page":"110","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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":0.9993000030517578,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.996399998664856,"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/logarithm","display_name":"Logarithm","score":0.8626230955123901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7473201751708984},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6526041030883789},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5941323041915894},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5058628916740417},{"id":"https://openalex.org/keywords/elementary-function","display_name":"Elementary function","score":0.4874584674835205},{"id":"https://openalex.org/keywords/tower","display_name":"Tower","score":0.4741132855415344},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42753303050994873},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41789400577545166},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3846290707588196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2101357877254486}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.8626230955123901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7473201751708984},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6526041030883789},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5941323041915894},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5058628916740417},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.4874584674835205},{"id":"https://openalex.org/C2777831296","wikidata":"https://www.wikidata.org/wiki/Q12518","display_name":"Tower","level":2,"score":0.4741132855415344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42753303050994873},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41789400577545166},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3846290707588196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2101357877254486},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3377006.3377013","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3377006.3377013","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1966664467","https://openalex.org/W2028698044","https://openalex.org/W2068632663","https://openalex.org/W2252746338","https://openalex.org/W2555727860","https://openalex.org/W2610309808","https://openalex.org/W2802606359","https://openalex.org/W2998834702","https://openalex.org/W3098391636","https://openalex.org/W4210531060","https://openalex.org/W4250257987"],"related_works":["https://openalex.org/W2034881304","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W3183298406","https://openalex.org/W4221153868","https://openalex.org/W2963061741","https://openalex.org/W4212976808","https://openalex.org/W2083618772","https://openalex.org/W2018978685","https://openalex.org/W3045836691"],"abstract_inverted_index":{"Let":[0],"K":[1,85,91],"be":[2],"a":[3,15,98,124],"tower":[4,17],"of":[5,19,37,102,126,147],"logarithmic":[6,20,104,115],"extensions":[7,21,116],"over":[8,90],"C":[9,99],"(":[10],"x":[11],").":[12],"There":[13],"exists":[14],"well-generated":[16],"E":[18,38,48,74],"containing":[22],"K.":[23],"We":[24],"outline":[25],"an":[26,34,71,87],"additive":[27,41],"decomposition":[28,42],"in":[29,65,73,106,114,129,134,145],"E.":[30,107],"More":[31],"precisely,":[32],"for":[33],"element":[35],"f":[36,51,69,83],",":[39,45],"the":[40,57,127,130],"computes":[43],"g":[44],"r":[46,55,62,79,96],"\u2208":[47,84],"such":[49],"that":[50],"=":[52,80],"g'":[53],"+":[54],"with":[56],"following":[58],"two":[59],"properties:":[60],"(i)":[61],"is":[63,97,123],"minimal":[64],"some":[66,103],"sense;":[67],"(ii)":[68],"has":[70,86],"integral":[72,89],"if":[75,78,92,95],"and":[76,93,142],"only":[77,94],"0.":[81],"Furthermore,":[82],"elementary":[88,112],"-linear":[100],"combination":[101],"derivatives":[105],"Consequently,":[108],"we":[109],"can":[110],"determine":[111],"integrability":[113],"without":[117],"solving":[118],"any":[119],"Risch's":[120],"equation.":[121],"This":[122],"generalization":[125],"results":[128],"paper":[131],"Additive":[132],"Decompositions":[133],"Primitive":[135],"Extensions":[136],"by":[137],"S.":[138],"Chen,":[139],"H.":[140],"Du":[141],"Z.":[143],"Li":[144],"Proc.":[146],"ISSAC":[148],"2018.":[149]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}