{"id":"https://openalex.org/W2219712879","doi":"https://doi.org/10.1090/mcom/2974","title":"Computation and structure of character polylogarithms with applications to character Mordell\u2013Tornheim\u2013Witten sums","display_name":"Computation and structure of character polylogarithms with applications to character Mordell\u2013Tornheim\u2013Witten sums","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W2219712879","doi":"https://doi.org/10.1090/mcom/2974","mag":"2219712879"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/2974","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/2974","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5081580336","display_name":"David H. Bailey","orcid":"https://orcid.org/0000-0002-7574-8342"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Bailey","raw_affiliation_strings":["Lawrence Berkeley National Lab (retired), Berkeley, California 94720 \u00e2\u0080\u0093 and \u00e2\u0080\u0093 Department of Computer Science, University of California, Davis, Davis, California 95616","Lawrence Berkeley National Lab (retired), Berkeley, California 94720 \u2013 and \u2013 Department of Computer Science, University of California, Davis, Davis, California 95616"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Lab (retired), Berkeley, California 94720 \u00e2\u0080\u0093 and \u00e2\u0080\u0093 Department of Computer Science, University of California, Davis, Davis, California 95616","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I84218800"]},{"raw_affiliation_string":"Lawrence Berkeley National Lab (retired), Berkeley, California 94720 \u2013 and \u2013 Department of Computer Science, University of California, Davis, Davis, California 95616","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088720034","display_name":"Jonathan M. Borwein","orcid":"https://orcid.org/0000-0002-1263-0646"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. Borwein","raw_affiliation_strings":["CARMA, University of Newcastle, NSW 2303, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CARMA, University of Newcastle, NSW 2303, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3151,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91518519,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"85","issue":"297","first_page":"295","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9998000264167786,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9991999864578247,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/character","display_name":"Character (mathematics)","score":0.9603153467178345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7382572293281555},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7314401268959045},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4830246865749359},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3887927532196045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12685129046440125},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10376465320587158}],"concepts":[{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.9603153467178345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7382572293281555},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7314401268959045},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4830246865749359},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3887927532196045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12685129046440125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10376465320587158}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/2974","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/2974","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:uon:26179","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1329529","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":42,"referenced_works":["https://openalex.org/W169603320","https://openalex.org/W326327467","https://openalex.org/W1527616100","https://openalex.org/W1563216928","https://openalex.org/W1580141302","https://openalex.org/W1830366775","https://openalex.org/W1956351353","https://openalex.org/W1964505865","https://openalex.org/W1970554702","https://openalex.org/W1995864174","https://openalex.org/W2000337885","https://openalex.org/W2001083095","https://openalex.org/W2003115626","https://openalex.org/W2011082058","https://openalex.org/W2011295993","https://openalex.org/W2015284792","https://openalex.org/W2018928782","https://openalex.org/W2032037464","https://openalex.org/W2032991432","https://openalex.org/W2040728844","https://openalex.org/W2058239821","https://openalex.org/W2060520271","https://openalex.org/W2069690141","https://openalex.org/W2076463309","https://openalex.org/W2094852081","https://openalex.org/W2098046865","https://openalex.org/W2099765952","https://openalex.org/W2102562169","https://openalex.org/W2103303424","https://openalex.org/W2121848241","https://openalex.org/W2141060935","https://openalex.org/W2142767202","https://openalex.org/W2170573174","https://openalex.org/W2225503362","https://openalex.org/W2330070957","https://openalex.org/W2480836127","https://openalex.org/W2569091092","https://openalex.org/W2792774491","https://openalex.org/W2953067679","https://openalex.org/W2963086387","https://openalex.org/W2963842306","https://openalex.org/W2964005897"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W4251748586"],"abstract_inverted_index":{"This":[0],"paper":[1],"extends":[2],"tools":[3],"developed":[4],"to":[5,13,19],"study":[6],"character":[7,16,30],"polylogarithms.":[8],"These":[9],"objects":[10],"are":[11],"used":[12],"compute":[14],"Mordell\u2013Tornheim\u2013Witten":[15],"sums":[17],"and":[18,27],"explore":[20],"their":[21,29],"connections":[22],"with":[23,28],"multiple-zeta":[24],"values":[25],"(MZVs)":[26],"analogues.":[31]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
