We obtain asymptotics for the Airy kernel Fredholm determinant on two intervals. We give explicit formulas for all the terms up to and including the oscillations of order $1$, which are expressed in terms of Jacobi $\theta$-functions.

中文翻译：

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两个区间上的 Airy Kernel 行列式的振荡渐近

我们在两个间隔上获得 Airy 核 Fredholm 行列式的渐近线。我们给出了直到并包括 $1$ 阶振荡的所有项的显式公式，这些项用 Jacobi $\theta$ 函数表示。