标题： 动力学和qKZ方程模$p^s$，一个例子 显示英文标题

标题： Dynamical and qKZ equations modulo $p^s$, an example

摘要： 我们考虑一个动态微分方程和qKZ差分方程的联合系统的例子，其参数对应于椭圆积分的方程。 我们对素数整数$p$的任何次幂$p^n$模求解这个方程组。 我们证明当$n\to\infty$时这些解的$p$-adic 极限确定了一个线丛序列，每个线丛都相对于相应的动态连接是不变的，并且该线丛序列相对于相应的qKZ差分连接也是不变的。 显示英文摘要

摘要： We consider an example of the joint system of dynamical differential equations and qKZ difference equations with parameters corresponding to equations for elliptic integrals. We solve this system of equations modulo any power $p^n$ of a prime integer $p$. We show that the $p$-adic limit of these solutions as $n\to\infty$ determines a sequence of line bundles, each of which is invariant with respect to the corresponding dynamical connection, and that sequence of line bundles is invariant with respect to the corresponding qKZ difference connection.