论文标题
Zeta的力矩和分裂和分裂的相关性：分层和Vandermonde积分
Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals
论文作者
论文摘要
我们完善了基廷和第二作者最近开发的启发式方法。我们的改进导致了猜想的渐近公式的新积分表达，用于riemann zeta功能的移动矩。这种表达类似于Brad Rodgers和Kannan Soundararajan最近发现的一个公式，该公式是在单一群体中随机矩阵的特征多项式的时刻。
We refine a recent heuristic developed by Keating and the second author. Our improvement leads to a new integral expression for the conjectured asymptotic formula for shifted moments of the Riemann zeta-function. This expression is analogous to a formula, recently discovered by Brad Rodgers and Kannan Soundararajan, for moments of characteristic polynomials of random matrices from the unitary group.
