Quadratic forms connected with Fourier coefficients of Maass cusp forms

doi:10.1007/s11464-015-0416-8

Front. Math. China

2015, Vol. 10

Issue (5) : 1101-1112 https://doi.org/10.1007/s11464-015-0416-8

RESEARCH ARTICLE

Quadratic forms connected with Fourier coefficients of Maass cusp forms

Liqun HU^1,^2,^*(

)

1. Department of Mathematics, Shandong University, Jinan 250100, China
2. Department of Mathematics, Nanchang University, Nanchang 330031, China

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Abstract

For the normalized Fourier coefficients of Maass cusp forms λ(n) and the normalized Fourier coefficients of holomorphic cusp forms a(n), we give the bound of ∑m12+m22+m32≤xλ(m12+m22+m32)Λ(m12+m22+m32) and ∑m12+m22+m32≤xa(m12+m22+m32)Λ(m12+m22+m32).

Keywords Circle method Fourier coefficients of Maass cusp forms quadratic form exponential sum

Corresponding Author(s): Liqun HU

Issue Date: 24 June 2015

Cite this article:

Liqun HU. Quadratic forms connected with Fourier coefficients of Maass cusp forms[J]. Front. Math. China, 2015, 10(5): 1101-1112.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0416-8
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I5/1101

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