Cancellation of Cusp Forms Coefficients over Beatty Sequences on $extrm{GL}(m)$

Canadian mathematical bulletin

Qingfeng Sun¹ 

[1] Department of Mathematics, Shandong University, Jinan, Shandong 250100, China

关键词: Fourier coefficients;    Maass cusp form on $extrm{GL}(m)$;    Beatty sequence;   

DOI  :  10.4153/CMB-2011-032-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $A(n_1,n_2,dots,n_{m-1})$ be the normalized Fourier coefficients ofa Maass cusp form on $extrm{GL}(m)$. In this paper, we study the cancellation of $A(n_1,n_2,dots,n_{m-1})$ over Beatty sequences.

【 授权许可】

Unknown