Bao-Xing Liu

most citedOn equations

(- 1)^{α} p^{x} + (- 1)^{β} (2^{k} (2 p + 1))^{y} = z^{2}

with Sophie Germain prime

p

1 citations · 1 across the 1 of their papers we have counts for

collaborators

1 paper

math.NT2022★ 1 cited

On equations $(- 1)^{α} p^{x} + (- 1)^{β} (2^{k} (2 p + 1))^{y} = z^{2}$ with Sophie Germain prime $p$

Yuan Li, Jing Zhang, Baoxing Liu

In this paper, we consider the Diophantine equation $(- 1)^{α} p^{x} + (- 1)^{β} (2^{k} (2 p + 1))^{y} = z^{2}$ for Sophie Germain prime $p$ with $α, β \in {0, 1}$ , $α β = 0$ and $k \geq 0$ . First, for $p = 2$ ,…

On equations (−1)αpx+(−1)β(2k(2p+1))y=z2 with Sophie Germain prime p

On equations $(- 1)^{α} p^{x} + (- 1)^{β} (2^{k} (2 p + 1))^{y} = z^{2}$ with Sophie Germain prime $p$