Exponential sums with sparse polynomials over finite fields

2020/07/29 by Shparlinski, Igor E., Wang, Qiang
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2007.14551

Abstract

We obtain new bounds of exponential sums modulo a prime p with sparse polynomials a₀x^n₀ + ⋯ + a_νx^n_ν. The bounds depend on various greatest common divisors of exponents n₀, …, n_ν and their differences. In particular, two new bounds for binomials are obtained, improving previous results in broad ranges of parameters.

Related

• Exponential Sums with Sparse Polynomials and Distribution of the Power Generator
• Binomial exponential sums
• On a family of sparse exponential sums
• Multilinear Exponential Sums With A General Class Of Weights
• Exponential sum estimates over prime fields