Journal of Integer Sequences, Vol. 22 (2019), Article 19.8.1

Waring's Problem for Hurwitz Quaternion Integers

Janyarak Tongsomporn
School of Science
Walailak University
Nakhon Si Thammarat 80160

Nicola Oswald
Faculty for Mathematics and Natural Sciences
Wuppertal University
Gauß-Str. 20, Wuppertal 42119

Jörn Steuding
Department of Mathematics
Würzburg University
Am Hubland, Würzburg 97218


Extending recent work of Pollack on Waring's problem for the ring of Lipschitz quaternion integers, we study Waring's problem with respect to the larger ring of Hurwitz quaternion integers.

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Received January 16 2019; revised versions received May 2 2019; May 6 2019; August 8 2019; August 26 2019. Published in Journal of Integer Sequences, December 6 2019.

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