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本文对确定所有可能的丢番图方程的解进行了解析研究，方程形式为 qₖ = Jₘ Jₙ 和 Jₖ = qₘ qₙ。在 m = 1 或 n = 1 的情况下，这些方程也给出了改进佩尔数和雅各布斯塔尔数的交集。
Daşdemir et al. (Sat,) studied this question.
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