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Cancellation of Cusp Forms Coefficients over Beatty Sequences on GL(m)

Published online by Cambridge University Press:  20 November 2018

Qingfeng Sun
Qingfeng Sun*
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, Chinae-mail: qfsun@mail.sdu.edu.cn
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Abstract

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Let $A({{n}_{1}},\,{{n}_{2}},\ldots ,\,{{n}_{m}}-1)$ be the normalized Fourier coefficients of a Maass cusp form on $\text{GM(}m\text{)}$. In this paper, we study the cancellation of $A({{n}_{1}},\,{{n}_{2}},\ldots ,\,{{n}_{m}}-1)$ over Beatty sequences.

Keywords

11F3011M4111B83Fourier coefficientsMaass cusp form on GL(m)Beatty sequence
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 4 , 01 December 2011 , pp. 757 - 762
Copyright
Copyright © Canadian Mathematical Society 2011

References

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