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

  Published:2011-03-08
 Printed: Dec 2011
  • Qingfeng Sun,
    Department of Mathematics, Shandong University, Jinan, Shandong 250100, China
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Abstract

Let $A(n_1,n_2,\dots,n_{m-1})$ be the normalized Fourier coefficients of a Maass cusp form on $\textrm{GL}(m)$. In this paper, we study the cancellation of $A (n_1,n_2,\dots,n_{m-1})$ over Beatty sequences.
Keywords: Fourier coefficients, Maass cusp form on $\textrm{GL}(m)$, Beatty sequence Fourier coefficients, Maass cusp form on $\textrm{GL}(m)$, Beatty sequence
MSC Classifications: 11F30, 11M41, 11B83 show english descriptions Fourier coefficients of automorphic forms
Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
Special sequences and polynomials
11F30 - Fourier coefficients of automorphic forms
11M41 - Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
11B83 - Special sequences and polynomials
 

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