{"id":"https://openalex.org/W7203706071","doi":"https://doi.org/10.48550/arxiv.2608.16735","title":"Galois descents of certain multiple polylogarithms","display_name":"Galois descents of certain multiple polylogarithms","publication_year":2026,"publication_date":"2026-08-17","ids":{"openalex":"https://openalex.org/W7203706071","doi":"https://doi.org/10.48550/arxiv.2608.16735"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.16735","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16735","pdf_url":"https://arxiv.org/pdf/2608.16735","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.16735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019062864","display_name":"Yajun Zhou","orcid":"https://orcid.org/0000-0003-4431-6771","observed_orcids":["https://orcid.org/0000-0003-4431-6771"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhou, Yajun","raw_affiliation_strings":["N = "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"N = ","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5019062864"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9994999766349792,"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":0.9994999766349792,"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":0.00019999999494757503,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/multiple-polylogarithms","display_name":"multiple polylogarithms","score":0.8880000114440918},{"id":"https://openalex.org/keywords/galois-descent","display_name":"Galois descent","score":0.8840000033378601},{"id":"https://openalex.org/keywords/multiple-zeta-values","display_name":"multiple zeta values","score":0.8960000276565552}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7454000115394592},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7002999782562256},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40380001068115234},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3896999955177307},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33390000462532043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27399998903274536},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.2515999972820282},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2167000025510788},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.21299999952316284},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.20800000429153442}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.16735","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16735","pdf_url":"https://arxiv.org/pdf/2608.16735","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2608.16735","doi":"https://doi.org/10.48550/arxiv.2608.16735","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.16735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.16735","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.16735","pdf_url":"https://arxiv.org/pdf/2608.16735","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203706071.pdf","grobid_xml":"https://content.openalex.org/works/W7203706071.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W154434529","https://openalex.org/W2237593616","https://openalex.org/W4225158928","https://openalex.org/W7154724938","https://openalex.org/W7169596846"],"related_works":["https://openalex.org/W4225158928","https://openalex.org/W7096429116","https://openalex.org/W3105544023","https://openalex.org/W3027538441","https://openalex.org/W4394637382","https://openalex.org/W4387575575","https://openalex.org/W1827962746","https://openalex.org/W4391158941","https://openalex.org/W2964996699","https://openalex.org/W7168295475"],"abstract_inverted_index":{"We":[0],"prove":[1],"some":[2,28],"conjectures":[3],"of":[4,11,25],"K.":[5],"C.":[6],"Au":[7,26],"concerning":[8],"the":[9],"descents":[10],"cyclotomic":[12],"levels":[13],"in":[14,27],"certain":[15],"sums":[16],"over":[17],"multiple":[18,38],"polylogarithms.":[19],"Via":[20],"answers":[21],"to":[22],"a":[23],"question":[24],"particular":[29],"cases,":[30],"we":[31],"also":[32],"confirm":[33],"Broadhurst's":[34],"conjecture":[35],"on":[36],"honorary":[37],"zeta":[39],"values":[40],"at":[41],"even":[42],"weights.":[43]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-19T00:00:00"}