arXiv Analytics

Sign in

arXiv:1001.2525 [math.NT]AbstractReferencesReviewsResources

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

I. N. Cangül, M. Demirci, G. Soydan, N. Tzanakis

Published 2010-01-14Version 1

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.

Comments: 21 pages. To appear in Funct. Approx. Comment. Math
Categories: math.NT
Subjects: 11D61, 11D25, 11D41, 11D59, 11J86
Related articles: Most relevant | Search more
arXiv:1703.04950 [math.NT] (Published 2017-03-15)
Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$
arXiv:1709.00400 [math.NT] (Published 2017-09-01)
On the Diophantine equation $(x+1)^{k}+(x+2)^{k}+...+(2x)^{k}=y^n$
arXiv:1202.0315 [math.NT] (Published 2012-02-01)
On the Diophantine Equation X2+19M=YN

Links

Toolbox