Uniform estimates for sums of coefficients of symmetric square L-function
Uniform estimates for sums of coefficients of symmetric square L-function
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DOI：
10.1016/j.jnt.2014.09.008
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发表时间：
2015-03
影响因子：
0.7
通讯作者：
Yujiao Jiang;G. Lü
中科院分区：
文献类型：
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作者：
Yujiao Jiang;G. Lü
设ϕ(Z)表示全模群Γ=SL(2，Z)的全纯或Maass尖点形式。设λSym 2ϕ(N)是与ϕ(Z)有关的对称平方L函数的n次系数。建立了求和函数∑n≤xλSym 2ϕ(N)的一致上界，改进了Ichihara[4]，Lü[10]，Sankaranarayanan[13]和唐[14]的结果.
Let ϕ (z) denote a holomorphic or Maass cusp form for the full modular group Γ= SL (2, Z). And let λ Sym 2 ϕ (n) be the n-th coefficient of symmetric square L-function associated with ϕ (z). We establish the uniform upper bound for the summatory function∑ n≤ x λ Sym 2 ϕ (n), which improves the results of Ichihara [4], Lü [10], Sankaranarayanan [13] and Tang [14].