L-functions of certain exponential sums over finite fields II

2021/07/28 by Xin Lin, Chao Chen, Lin, Xin +1
Computer Science · Mathematics · #11L07 #11T23 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Primary 11S40

paper · pdf · doi:10.48550/arxiv.2107.13357

openalex publication_date 2021/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we compute the q-adic slopes of the L-functions of an important class of exponential sums arising from analytic number theory. Our main tools include Adolphson-Sperber's work on toric exponential sums and Wan's decomposition theorems.

Related

• L-functions of Certain Exponential Sums over Finite Fields
• A translation of N.M. Katz's "Exponential Sums"
• On L-functions of certain exponential sums
• T-adic exponential sums over finite fields
• p-adic unit roots of L-functions over finite fields