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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2010
- DOI:
- 10.48550/arXiv.1001.2525
- arXiv:
- arXiv:1001.2525
- Bibcode:
- 2010arXiv1001.2525C
- Keywords:
-
- Mathematics - Number Theory;
- 11D61;
- 11D25;
- 11D41;
- 11D59;
- 11J86
- E-Print:
- 21 pages. To appear in Funct. Approx. Comment. Math