Waring Numbers of Ramified p-adic Rings

2024/07/19 by Lucas Anthony, Joe Burton, Anthony, Lucas +12
Mathematics · Computer Science · #advanced mathematical theories #Polynomial and algebraic computation #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2407.14624

Abstract

Let p be prime and e,k be positive integers, and let R = \mathbb Z_p[√[e]p]. We calculate the Waring numbers g_R(k) for many values of p, e, and k, and investigate how the Waring numbers for p=2 change as e and k vary.

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