Geodesic
On the Diophantine equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 121-124

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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. 
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     author = {Gheorghe M. Tudor and Tudor B{\^\i}nzar},
     title = {On the {Diophantine} equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {121--124},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2010_2_a8/}
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Gheorghe M. Tudor; Tudor Bînzar. On the Diophantine equation $x^x\cdot y^{y^{k(y)}}=z^{z^p}$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2010), pp. 121-124. http://geodesic.mathdoc.fr/item/BASM_2010_2_a8/