On the Waring problem with Dickson polynomials modulo a prime

2024/10/11 by Igor E. Shparlinski, José Felipe Voloch, Shparlinski, Igor E. +1
Computer Science · Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2410.08732

openalex publication_date 2024/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We improve recent results of D. Gomez and A. Winterhof (2010) and of A. Ostafe and I. E. Shparlinski (2011) on the Waring problem with Dickson polynomials in the case of prime finite fields. Our approach is based on recent bounds of Kloosterman and Gauss sums due to A. Ostafe, I. E. Shparlinski and J. F. Voloch (2021).

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