On the density theorem related to the space of non-split tri-Hermitian forms I
On the density theorem related to the space of non-split tri-Hermitian forms I
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关于不可分裂三厄米形式空间的密度定理Ⅰ
DOI：
10.1016/j.jnt.2018.07.015
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Akihiko Yukie
中科院分区：
文献类型：
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作者：
水澤 靖;山本 康太;Akihiko Yukie
设k˜是Q的三次扩张，对二次域F，设L=F⋅k˜.证明了在一定的上同调不变量I(F)下，LIM X→∞X−2∑0<；±ΔF<；X h L R L(H F R F)−1(1+I(F)−1)收敛到欧拉乘积给出的一个正常数.
Let k˜ be a cubic extension of Q. For quadratic fields F, let L= F⋅ k˜. In this paper and its companion paper, we prove that with a certain cohomological invariant i (F), lim X→∞ X− 2∑ 0<±Δ F< X h L R L (h F R F)− 1 (1+ i (F)− 1) converges to a positive constant which is given by an Euler product.