{"title":"Discovering multiple polylogarithm equations via symbolic computations","authors":"Andrei Matveiakin","doi":"10.1145/3511528.3511539","DOIUrl":null,"url":null,"abstract":"We discuss how symbolic computations can be used to find functional equations for multiple polylogarithms and prove parts of Goncharov's depth conjecture. We present a custom-built C++ toolkit for polylogarithm symbol manipulations in Lie coalgebras and show how this approach compares favorably to the alternatives in terms of performance.","PeriodicalId":41965,"journal":{"name":"ACM Communications in Computer Algebra","volume":"55 1","pages":"112 - 116"},"PeriodicalIF":0.4000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Communications in Computer Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3511528.3511539","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We discuss how symbolic computations can be used to find functional equations for multiple polylogarithms and prove parts of Goncharov's depth conjecture. We present a custom-built C++ toolkit for polylogarithm symbol manipulations in Lie coalgebras and show how this approach compares favorably to the alternatives in terms of performance.
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