论文标题
多项式多项式的平均值
Averages of long Dirichlet polynomials
论文作者
论文摘要
我们考虑$ζ（S）^k $的Dirichlet系列截断的均方根的渐近行为。我们讨论了此问题与除数函数方差的连接，并在短时和算术过程中审查了有关该主题的最新结果。最后，我们展示了如何证明这些结果的适当版本的瞬间猜想。
We consider the asymptotic behavior of the mean square of truncations of the Dirichlet series of $ζ(s)^k$. We discuss the connections of this problem with that of the variance of the divisor function in short intervals and in arithmetic progressions, reviewing the recent results on this topic. Finally, we show how these results can all be proved assuming a suitable version of the moments conjecture.
