Abstract

Given a prime number p we consider ${\mathbb{C}}_p$ the topological completion of the algebraic closure of the field of p-adic numbers with respect to the usual p-adic absolute value. In this paper, we point out new connections between zeros and singularities of the trace functions associated with arbitrary elements of ${\mathbb{C}}_p.$

中文翻译：

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关于p-adic迹函数的零和奇点

抽象的

给定质数p，我们考虑${\mathbb{C}}_p$相对于通常的p -adic绝对值，p -adic数域的代数封闭的拓扑完成。在本文中，我们指出了零和跟踪函数的奇异性之间的新联系，这些跟踪函数与的任意元素相关${\mathbb{C}}_p。$