Potential role of the elliptic modular j-function in the "Kronecker's dream of youth" for real quadratic fields

虽然我们还没有成功地从椭圆模j函数的“值”中得到任何算术量，但我们已经在路上得到了一些关于马尔科夫数的算术结果。利用马可夫数的法雷参数化，给出了j函数在马可夫无理数处值的一种丢芬图连续性。

Although we have not yet succeeded in obtaining any arithmetic quantities from the "values" of the elliptic modular j-function, we have obtained on the way some arithmetic results concerning Markoff numbers. We have formulated a kind of Diophantine continuity of the values of j-function at Markoff irrationalities in terms of Farey parametrization of Markoff numbers.