Exponential sums with multiplicative coefficients without the Ramanujan conjecture
Exponential sums with multiplicative coefficients without the Ramanujan conjecture
复制标题
没有拉马努金猜想的具有乘法系数的指数和
DOI：
10.1007/s00208-020-02108-z
复制
发表时间：
2021
影响因子：
1.4
通讯作者：
Zhiwei Wang
中科院分区：
文献类型：
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作者：
Yujiao Jiang;Guangshi Lü;Zhiwei Wang
我们研究了涉及乘法函数资助者在范围内较温和条件的指数和，这概括了蒙哥马利和沃恩的工作。作为一个应用，我们证明了自同构 L 函数的加性扭转系数之和的抵消，在加性上一致。
We study the exponential sum involving multiplicative functionfunder milder conditions on the range off, which generalizes the work of Montgomery and Vaughan. As an application, we prove cancellation in the sum of additively twisted coefficients of automorphicL-function on, uniformly in the additive character.