Parity conjecture for multiple Hurwitz polylogarithms
Let r>1r>1r>1, let x1,…,xrx_1,\ldots,x_rx1,…,xr be roots of unity, let a∈C∖Za\in\mathbb{C}\setminus\mathbb{Z}a∈C∖Z, and let k1,…,kr≥1k_1,\ldots,k_r\geq1k1,…,kr≥1 with (kr,xr)≠(1,1)(k_r,x_r)\neq(1,1)(kr,xr)=(1,1). Parity conjecture. The combinat…