On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $

Details On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $ On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $

2010-01-14

arxiv.org/abs/1001.2525v1

Mathematics

Number Theory

21 pages. To appear in Funct. Approx. Comment. Math

Scientific paper

We give the complete solution in integers $(n,a,b,x,y)$ of the title equation
when $\gcd(x,y)=1$, except for the case when $xab$ is odd.

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