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On the generalized Hurwitz equations and the Baragar-Umeda equations

Published 16 Apr 2015 in math.NT | (1504.04321v1)

Abstract: We consider the generalized Hurwitz equation $a_1x_12+ \cdots +a_nx_n2 = dx_1 \cdots x_n-k$ and the Baragar-Umeda equation $ax2+by2+cz2=dxyz+e$ for solvability in integers.

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