2020/12/17 by Charlton, Steven, Gangl, Herbert, Radchenko, Danylo
#39B32 #FOS: Mathematics #Number Theory (math.NT) #Primary 11G55 #Secondary 33E20
paper · doi:10.48550/arxiv.2012.09840
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms. These identities generalize the crucial identity Q4 from the recent work of Goncharov and Rudenko that was used in their proof of the weight 4 case of Zagier's Polylogarithm Conjecture.