On the solutions of a Lebesgue - Nagell type equation
We find all positive integer solutions in $x, y$ and $n$ of $x^2+19^{2k+1}=4y^{n}$ for any non-negative integer $k$.
math.NT↗
arXiv subjects
Sanjay Bhatter
Publications and source records attributed to Sanjay Bhatter.
On the Diophantine equation $f(x)=2f(y)$
Let $f(x)=x^{2}(x^{2}-1)(x^{2}-2)(x^{2}-3).$ We prove that the Diophantine equation $ f(x)=2f(y)$ has no solutions in positive integers $x$ and $y$, except $(x, y)=(1, 1)$.
math.NT↗