RUS
ENG
Full version
JOURNALS
// Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
// Archive
Bul. Acad. Ştiinţe Repub. Mold. Mat.,
2010
Number 2,
Pages
121–124
(Mi basm263)
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.
MSC:
11D61
Received:
17.03.2009
Language:
English
Fulltext:
PDF file (176 kB)
References
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024