论文标题
在Goncharov的深度猜想和深度的细分线上
On the Goncharov Depth Conjecture and polylogarithms of depth two
论文作者
论文摘要
我们证明了Goncharov深度猜想的溢流性部分。我们还表明，深度猜想意味着可以通过单个函数$ \ mathrm {li} _ {n-d+1,1，\ dots，1}（a_1，a_1，a_2，a_2，a_2，dots，a_d）$，我们的prove $ d = 2 $ d = 2 = 2 = 2 $ d = 2 $ d = 2 $ d = 2 = 2 = 2 = 2 = 2 $ d = d = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 $ d = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 =
We prove the surjectivity part of Goncharov's depth conjecture. We also show that the depth conjecture implies that multiple polylogarithms of depth $d$ and weight $n$ can be expressed via a single function $\mathrm{Li}_{n-d+1,1,\dots,1}(a_1,a_2,\dots,a_d)$, and we prove this latter statement for $d=2$.
