Metric Diophantine approximation over a local field of positive characteristic
Metric Diophantine approximation over a local field of positive characteristic
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正特征局部场上的公制丢番图近似
DOI：
10.1016/j.jnt.2006.10.009
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发表时间：
2005
影响因子：
0.7
通讯作者：
Anish Ghosh
中科院分区：
文献类型：
--
作者：
Anish Ghosh
在局部正特征域上建立了丢番图近似度规理论中的Sprindžuk定理。在真实的案例中，这些都是由D. Kleinbock和G.A.马古利斯使用一种新的技术，其中涉及非发散估计准多项式流的空间格。我们将他们的技术扩展到正特征设置。
The conjectures of Sprindžuk in the metric theory of Diophantine approximation are established over a local field of positive characteristic. In the real case, these were settled by D. Kleinbock and G.A. Margulis using a new technique which involved nondivergence estimates for quasi-polynomial flows on the space of lattices. We extend their technique to the positive characteristic setting.