Steven Charlton, Herbert Gangl, Danylo Radchenko, Daniil Rudenko
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引用次数: 0
摘要
我们证明了冈察洛夫在二次封闭域上的深度猜想的可射性部分。我们还证明了深度猜想意味着深度为 d、权重为 n 的多个多项式可以通过一个函数 \({{\,\textrm{Li}\,}}_{n-d+1,1,\dots ,1}(a_1,a_2,\dots ,a_d)\) 来表达，并且我们证明了后\(d=2\)的这一声明。
On the Goncharov depth conjecture and polylogarithms of depth two
We prove the surjectivity part of Goncharov’s depth conjecture over a quadratically closed field. We also show that the depth conjecture implies that multiple polylogarithms of depth d and weight n can be expressed via a single function \({{\,\textrm{Li}\,}}_{n-d+1,1,\dots ,1}(a_1,a_2,\dots ,a_d)\), and we prove this latter statement for \(d=2\).
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