Generic twisted T-adic exponential sums of polynomials

2009/11/22 by Chunlei Liu, Liu, Chunlei, Chuanze Niu +1
Mathematics · #11F30 #11L07 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0911.4213

openalex publication_date 2009/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The twisted T-adic exponential sum associated to a polynomial in one variable is studied. An explicit arithmetic polygon is proved to be the generic Newton polygon of the twisted C-function of the T-adic exponential sum. It gives the generic Newton polygon of the twisted L-functions of p^m-power order exponential sums, for all m.

Related

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