On duality over a certain divided power algebra with positive characteristic

被引：2

作者：

Satoh, T

机构：

[1] Saitama University,Dept. Math., Fac. Sci.

来源：

MANUSCRIPTA MATHEMATICA | 1997年 / 92卷 / 02期

关键词：

Modular Form; Topological Group; Function Field; Valuation Ring; Riemann Zeta Function;

D O I：

10.1007/BF02678187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The character group of R is topologically isomorphic to R itself. On the contrary, it is impossible to construct a non-trivial homomorphism from the additive group of the field with characteristic p > 0 to the multiplicative group of the field with the same characteristic. In this paper, we construct positive characteristic non-trivial characters and prove self-duality on a certain complete normed divided power algebra.

引用

页码：153 / 172

页数：20

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