Sums of Cubes in Quaternion Rings

Gamble Madison,Hamblen Spencer,Schildhauer Blake,Truong Chung

JOURNAL OF INTEGER SEQUENCES（2020）

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摘要

We investigate a version of Waring's problem over quaternion rings, focusing on cubes in quaternion rings with integer coefficients. We determine the global upper and lower bounds for the number of cubes necessary to represent all such quaternions.

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关键词

Waring's problem,quaternion integer,sum of cubes

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