Exponential sum estimate for systems including linear polynomials

2016/07/27 by Shuntaro Yamagishi, Yamagishi, Shuntaro
Computer Science · Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Functional Equations Stability Results #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1607.08283

openalex publication_date 2016/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In his paper, W. M. Schmidt obtained an exponential sum estimate for systems of polynomials not including linear polynomials, which was then used to apply the Hardy-Littlewood circle method. We prove an analogous estimate for systems including linear polynomials.

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