论文标题
长dirichlet多项式具有模块化系数的平均值
Averages of long Dirichlet polynomials with modular coefficients
论文作者
论文摘要
我们研究了体重方面与原始尖缘形式相关的$ L $ - 功能的时刻。特别是，我们获得了一个渐近公式，用于\ textit {long} dirichlet多项式带有模块化系数的扭曲矩。这一结果是基于广义的Lindelöf假设的条件，它与Conrey，Farmer，Keating，Rubinstein和Snaith对食谱的预测一致。
We study the moments of $L$-functions associated with primitive cusp forms, in the weight aspect. In particular, we obtain an asymptotic formula for the twisted moments of a \textit{long} Dirichlet polynomial with modular coefficients. This result, which is conditional on the Generalized Lindelöf Hypothesis, agrees with the prediction of the recipe by Conrey, Farmer, Keating, Rubinstein and Snaith.
