On exponential sums involving coefficients of l-functions for sl(3, z) over primes
On exponential sums involving coefficients of l-functions for sl(3, z) over primes
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关于涉及素数上 sl(3, z) 的 l 函数系数的指数和
DOI：
10.1093/qmath/haw006
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发表时间：
2016
影响因子：
0.7
通讯作者：
Lü Guangshi
中科院分区：
文献类型：
--
作者：
Hou Fei;Jiang Yujiao;Lü Guangshi
Letbe the-function associated with a Hecke–Maass formfor, withdenoting theth coefficient of the Dirichlet series for it. It is proved that, forand any, there exists an effective constantsuch that \[ \sum_{n\le N} \Lambda(n)A_F(n,1)e(n\alpha)\ll N \exp(-c\sqrt{\log N}), \] whereis the von Mangoldt function, and the implied constant depends only on.
