Uniform estimates for sums of coefficients of symmetric square L-function

作者：Jiang, Yujiao^*; Lu, Guangshi

来源：Journal of Number Theory, 2015, 148: 220-234.

DOI：10.1016/j.jnt.2014.09.008

• Cusp forms
• Fourier coefficients
• Symmetric square L-function
• Mean value of L-functions

Let phi(z) denote a holomorphic or Maass cusp form for the full modular group Gamma = SL(2, Z). And let lambda(sym2) phi(n) be the n-th coefficient of symmetric square L-function associated with phi(z). We establish the uniform upper bound for the summatory function
Sigma lambda(sym2) phi(n), n <= x
which improves the results of Ichihara [4], Lu [10], Sankaranarayanan [13] and Tang [14].

• 出版日期2015-3
• 单位山东大学