2011/01/08 by Nicusor Dan, Dan, Nicusor
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT
paper · pdf · doi:10.48550/arxiv.1101.1557
6 pages
arxiv created 2011/01/08 · openalex publication_date 2011/01/08 · arxiv updated 2011/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We express a general multiple polylogarithm of weight n as an explicit linear combination of multiple polylogarithms of weight n in n-2 variables. We express a general multiple polylogarithm of weight 4 as an explicit linear combination of multiple polylogarithms of type (3,1). We deduce a 4 parameters functional equation expressing a certain linear combination of multiple polylogarithms of type (3,1) as a linear combination of polylogarithms of weight 4.