On the generalized Hurwitz equations and the Baragar-Umeda equations

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

arxiv: 1504.04321 · v1 · pith:PC2NDAQ4new · submitted 2015-04-16 · 🧮 math.NT

On the generalized Hurwitz equations and the Baragar-Umeda equations

Benjamin Fine , Gabriele Kern-Isberner , Anja I. S. Moldenhauer , Gerhard Rosenberger This is my paper

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keywords baragar-umedacdotsequationequationsgeneralizedhurwitzconsiderdxyz

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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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On the generalized Hurwitz equations and the Baragar-Umeda equations

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