Generic twisted T-adic exponential sums of binomials

2009/11/27 by Chunlei Liu, Liu, Chunlei, Chuanze Niu +1
Mathematics · #11F30 #11L07 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0911.5182

openalex publication_date 2009/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The twisted T-adic exponential sum associated to x^d+λx is studied. If λ≠0, then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted C-function of the T-adic exponential sum. It gives the Newton polygons of the L-functions of twisted p-power order exponential sums.

Citations

• Generic T-adic exponential sums in one variable
• T-adic exponential sums under diagonal base change

Related

• Generic twisted T-adic exponential sums of polynomials
• Generic T-adic exponential sums in one variable
• T-adic exponential sums over finite fields
• T-adic exponential sums of polynomials in one variable
• Newton polygons for twisted exponential sums and polynomials P(x^d)