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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 1, Pages 267–270 (Mi fpm544)  
Short communications

On the diophantine equation $\bigl(\frac{x}{y}\bigr)^u+\bigl(\frac{y}{z}\bigr)^v+\bigl(\frac{z}{x}\bigr)^w=4t$

M. Z. Garaev

M. V. Lomonosov Moscow State University
Full-text PDF (129 kB)
Abstract: It is proved that the equation $\bigl(\frac{x}{y}\bigr)^u+\bigl(\frac{y}{z}\bigr)^v+\left(\frac{z}{x}\right)^w=4t$ has no solutions in positive integers $x,y,z,t,u,v,w$.
Received: 01.11.1998
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: M. Z. Garaev, “On the diophantine equation $\bigl(\frac{x}{y}\bigr)^u+\bigl(\frac{y}{z}\bigr)^v+\bigl(\frac{z}{x}\bigr)^w=4t$”, Fundam. Prikl. Mat., 7:1 (2001), 267–270
Citation in format AMSBIB
\Bibitem{Gar01}
\by M.~Z.~Garaev
\paper On the diophantine equation $\bigl(\frac{x}{y}\bigr)^u+\bigl(\frac{y}{z}\bigr)^v+\bigl(\frac{z}{x}\bigr)^w=4t$
\jour Fundam. Prikl. Mat.
\yr 2001
\vol 7
\issue 1
\pages 267--270
\mathnet{http://mi.mathnet.ru/fpm544}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1845074}
\zmath{https://zbmath.org/?q=an:1034.11025}
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    		Фундаментальная и прикладная математика
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