On the zeros and singularities of p-adic trace functions

被引：1

作者：

Alexandru, Victor ^{[1
]}

Vajaitu, Marian ^{[2
]}

Zaharescu, Alexandru ^{[2
,3
]}

机构：

[1] Univ Bucharest, Dept Math, Bucharest, Romania

[2] Romanian Acad, Simion Stoilow Inst Math, Bucharest, Romania

[3] Univ Illinois, Dept Math, Altgeld Hall,1409 W Green St, Urbana, IL 61801 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 03期

关键词：

Krasner analytic functions; local fields; distributions; KRASNER ANALYTIC-FUNCTIONS; POLYNOMIALS;

D O I：

10.1080/00927872.2020.1825722

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a prime number p we consider 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 C-p.

引用

页码：967 / 978

页数：12

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