Unit roots of the unit root L-functions of Kloosterman family

被引：0

作者：

Yang, Liping ^{[1
]}

Zhang, Hao ^{[2
]}

机构：

[1] Chengdu Univ Technol, Coll Math & Phys, Chengdu 610059, Peoples R China

[2] Southeast Univ, Shing Tung Yau Ctr, Yifu Architecture Bldg,2 Sipailou, Nanjing 210096, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 92卷

基金：

中国国家自然科学基金;

关键词：

Unit root; L-function; Kloosterman sum; POWERS; SUMS;

D O I：

10.1016/j.ffa.2023.102293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a consequence of Wan's theorem about Dwork's conjecture, the unit root L-functions of the n-dimensional Kloosterman family are p-adic meromorphic. By studying the symmetric power L-functions associated to the Kloosterman family, we prove that for each 0 <= j <= n, the unit root L-function coming from slope j has a unique unit root which equals 1.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：19

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