## Functiones et Approximatio Commentarii Mathematici

### On the diophantine equation $X^2-(p^{2m}+1)Y^6=-p^{2m}$

#### Abstract

Let $p$ be a prime and $m$ a positive integer. In this paper, it is shown that the equation in the title has at most four solutions in positive integers $(X, Y)$.

#### Article information

Source
Funct. Approx. Comment. Math., Volume 43, Number 1 (2010), 31-44.

Dates
First available in Project Euclid: 28 September 2010

https://projecteuclid.org/euclid.facm/1285679144

Digital Object Identifier
doi:10.7169/facm/1285679144

Mathematical Reviews number (MathSciNet)
MR2683572

Zentralblatt MATH identifier
0882.68064

#### Citation

He, Bo; Togbé, Alain; Yuan, Pingzhi. On the diophantine equation $X^2-(p^{2m}+1)Y^6=-p^{2m}$. Funct. Approx. Comment. Math. 43 (2010), no. 1, 31--44. doi:10.7169/facm/1285679144. https://projecteuclid.org/euclid.facm/1285679144

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