An elementary approach to character sums over multiplicative subgroups

2014/01/18 by Ke Гонг, Gong, Ke
Mathematics · #11L40 (Primary) 11N69 (Secondary) #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1401.4618

openalex publication_date 2014/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime. Using I. M. Vinogradov's bilinear estimate, we present an elementary approach to estimate nontrivially the character sum ∑_{x∈ H}χ(x+a), a∈\Bbb F_p^*, where H

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