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arXiv · 1910.02485

Sums of Cubes in Quaternion Rings

Madison Gamble·Spencer Hamblen·Blake Schildhauer·Chung Truong
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Abstract

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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Madison Gamble, Spencer Hamblen, Blake Schildhauer, Chung Truong. 2019-10-06. Sums of Cubes in Quaternion Rings. https://arxiv.org/abs/1910.02485

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