论文标题
关于对称正方形l功能的对数的价值分布
On the value-distribution of the logarithms of symmetric square L-functions in the level aspect
论文作者
论文摘要
我们考虑对称平方l功能的对数的值分布与实际s> 1/2处的重量和质量功率级别的新形式相关。我们证明，这些值的某些平均值可以写为涉及与萨托塔措施相关的密度函数的积分。此外，我们讨论了对称功率L功能的情况。
We consider the value distribution of logarithms of symmetric square L-functions associated with newforms of even weight and prime power level at real s> 1/2. We prove that certain averages of those values can be written as integrals involving a density function which is related with the Sato-Tate measure. Moreover, we discuss the case of symmetric power L-functions.
