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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 2, Pages 121–124
(Mi basm263)
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Short communications
On the Diophantine equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$
Gheorghe M. Tudor, Tudor Bînzar Department of Mathematics, "Politehnica" University of Timisoara, Timisoara, Romania
Abstract:
In this paper the existence and the ways of finding some positive integer solutions $x,y,z$ for the equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$ are studied.
Keywords and phrases:
Diophantine equations.
Received: 17.03.2009
Citation:
Gheorghe M. Tudor, Tudor Bînzar, “On the Diophantine equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2, 121–124
Linking options:
https://www.mathnet.ru/eng/basm263 https://www.mathnet.ru/eng/basm/y2010/i2/p121
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Statistics & downloads: |
Abstract page: | 197 | Full-text PDF : | 67 | References: | 23 | First page: | 1 |
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