On the diophantine equation X 2 − (1 + a 2)Y 4 = −2a

Science China Mathematics - Tập 53 - Trang 2143-2158 - 2010
PingZhi Yuan1, ZhongFeng Zhang2
1School of Mathematics, South China Normal University, Guangzhou, China
2School of Mathematics & Computational Science, Sun Yat-Sen University, Guangzhou, China

Tóm tắt

Let a ⩾ 1 be an integer. In this paper, we will prove the equation in the title has at most three positive integer solutions.

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