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

Abstract

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.

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