In this article, we give, under the Riemann hypothesis, an upper bound for the exponential moments of the imaginary part of the logarithm of the Riemann zeta function on the critical line. Our result, which gives information on the fluctuations of the distribution of the zeros of $\zeta$, has the same accuracy as the result obtained by Soundararajan in his paper entitled "Moments of the Riemann zeta function".

中文翻译：

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RIEMANN ZETA 函数在临界线上的参数的指数矩

在本文中，我们根据黎曼假设，给出临界线上黎曼 zeta 函数对数的虚部的指数矩的上限。我们的结果给出了 $\zeta$ 零点分布波动的信息，与 Soundararajan 在其题为“黎曼 zeta 函数的矩”的论文中获得的结果具有相同的准确性。