论文标题
呈指数平均的Vasyunin公式
An exponentially averaged Vasyunin formula
论文作者
论文摘要
我们证明了vasyunin型公式,用于由NYMAN-BEBURING CRITERION引起的自相关函数,该标准推广到概率框架。该公式也可以看作是与[bc13],[abb17]中证明的cotangent和sums的互惠公式。
We prove a Vasyunin-type formula for an autocorrelation function arising from a Nyman-Beurling criterion generalized to a probabilistic framework. This formula can also be seen as a reciprocity formula for cotangent sums, related to the ones proven in [BC13], [ABB17].