P-adic interpolation of dedekind sums
P-adic interpolation of dedekind sums
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DOI：
10.1017/s0004972700026848
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发表时间：
1988-04
影响因子：
0.7
通讯作者：
C. Snyder
中科院分区：
文献类型：
--
作者：
C. Snyder
本文利用p进测度理论给出了p进Dedekind和及其互易律的显式表示。然后，我们研究了p进互易律对特定正整数值的结果，在这种情况下，我们可以恢复附在特定狄利克雷字符上的Dedekind和的互易律。这个证明与长崎的证明不同。
In this article we give an explicit representation of p-adic Dedekind sums and their reciprocity laws by using p-adic measure theory. We then study the consequences of the p-adic reciprocity law for particular positive integer values in which case we can recover a reciprocity law for Dedekind sums attached to particular Dirichlet characters. This gives a proof different from that of Nagasaka.