An Elementary Approach to L-Functions mod p
An Elementary Approach to L-Functions mod p
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DOI：
10.1006/jnth.1999.2452
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发表时间：
2000-02
影响因子：
0.7
通讯作者：
G. Anderson
中科院分区：
文献类型：
--
作者：
G. Anderson
我们简要介绍了有关 L 函数 mod p 和 Cartier 算子之间关系的基本事实。我们认为卡地亚运营商的概念是理所当然的，但我们从头开始开发了我们需要的所有其他概念。取自泰特著名的“残差之和为零”论文的一个想法发挥了关键作用，并赋予该论文明显的“功能分析”风味。论文中的所有想法已经“流传”了一段时间；我们的贡献只是将它们组织起来并简洁地表达它们。
We give a brief presentation of basic facts concerning the relationship of L-functions mod p and the Cartier operator. We take the notion of the Cartier operator for granted but develop all other notions that we need from scratch. An idea taken from Tate's famous “sum of residues equals zero” paper plays a key role and gives the paper a distinctly “functional analytic” flavor. All the ideas in the paper have been “in the air” for some time; our contribution is simply to organize them and to express them succinctly.