On exponential sums involving Fourier coefficients of cusp forms
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- 作者：Kui ; Liu ; ; liukui84@gmail.com ; Xiumin ; Ren ; ; xmren@sdu.edu.cn
- 关键词：Modular form for 1001934&_mathId=si7.gif&_pii=S0022314X11001934&_issn=0022314X&_acct=C000049301&_versi
- 刊名：Journal of Number Theory
- 出版年：2012
- 出版时间：January 2012
- 年：2012
- 卷：132
- 期：1
- 页码：171-181
- 全文大小：155 K
文摘
Let be the normalized Fourier coefficient of a holomorphic cusp form of weight k or a Maass cusp form with Laplacian eigenvalue for . We consider exponential sum of the form and obtain the upper bound which is uniformly in .