arXiv 1504.043212015-04-16math.NT

On the generalized Hurwitz equations and the Baragar-Umeda equations

Benjamin Fine, Gabriele Kern-Isberner, Anja I. S. Moldenhauer, Gerhard Rosenberger

英文摘要：

We consider the generalized Hurwitz equation $a_1x_1^2+ \cdots +a_nx_n^2 = dx_1 \cdots x_n-k$ and the Baragar-Umeda equation $ax^2+by^2+cz^2=dxyz+e$ for solvability in integers.

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