论文标题
hecke $ l $ functions的薄法律
The Weak Gram Law for Hecke $L$-functions
论文作者
论文摘要
我们通过Titchmarsh概括了一个定理,即Hardy在Gram点上的平均值to the Hecke $ l $ functions,这反过来又意味着对他们的薄弱法律。与其类似地使用近似功能方程进行titchmarsh,而是使用轮廓积分采用了不同的方法。
We generalize a theorem by Titchmarsh about the mean value of Hardy's $Z$-function at the Gram points to the Hecke $L$-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.