A Universal Quaternary Quadratic Form over Gaussian Integers (1310.6293v2)

Published 23 Oct 2013 in math.NT

Abstract: In this article we show that the form $x² + iy² + z² + iw^2$ represents all gaussian integers. The main tools used in this proof are Fermat's little theorem (over finite field extensions), the Mordell-Niven theorem (representation of some gaussians), and the generalized Euler-identity over finite field extensions.

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Authors (1)

Felix Sidokhine

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