On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms 被引量：2

On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms

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摘要 The asymptotic formulae for the third and fourth power moments of Fourier coefficients of cusp forms are proved in this paper. The asymptotic formulae for the third and fourth power moments of Fourier coefficients of cusp forms are proved in this paper.

作者 Cai Yingchun Department of Mathematics, Shandong Normal University, Jinan 250014, China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第4期443-452,共10页 数学学报（英文版）

关键词 Cusp form Fourier coefficients The estimation of mean value Asymptotic formula Cusp form Fourier coefficients The estimation of mean value Asymptotic formula

分类号 O1 [理学—基础数学]

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1翟文广.Δ(x)的高次均值(Ⅳ)[J].数学学报（中文版）,2006,49(3):639-646.
2Jin Jiang LI,Pan Wang WANG,Min ZHANG.On the Fourth Power Moment of Fourier Coefficients of Cusp Form[J].Acta Mathematica Sinica,English Series,2018,34(6):1050-1058.

1Cai Yingchun (Department of Mathematics,Shandong Normal University,Jinan 250014,China).On the Distribution and Moments of the Fourier Coefficients of Cusp Forms[J].Acta Mathematica Sinica,English Series,1997,13(3):289-294.
2Hengcai TANG.Estimates for Fourier Coefficients of Cusp Forms in Weight Aspect[J].Chinese Annals of Mathematics,Series B,2016,37(5):793-802.
3Hui Xue LAO.The Cancellation of Fourier Coefficients of Cusp Forms over Different Sparse Sequences[J].Acta Mathematica Sinica,English Series,2013,29(10):1963-1972. 被引量：4
4Liqun HU.Quadratic forms connected with Fourier coefficients of Maass cusp forms[J].Frontiers of Mathematics in China,2015,10(5):1101-1112. 被引量：1
5王巨平.Singularity conjecture and constructions of Jacobi forms[J].Science China Mathematics,2002,45(7):827-835.
6Yoshifumi Ukita,Toshiyasu Matsushima.A Note on Relation between the Fourier Coefficients and the Effects in the Experimental Design[J].通讯和计算机（中英文版）,2012,9(7):830-836. 被引量：1
7LI Ying-jie.Grand Zero Density Estimates of L-functions Associated with Cusp Forms[J].Chinese Quarterly Journal of Mathematics,2012,27(1):79-86.
8C. Bardaro,I. Mantellini.ASYMPTOTIC FORMULAE FOR BIVARIATE MELLIN CONVOLUTION OPERATORS[J].Analysis in Theory and Applications,2008,24(4):377-394.
9R.G.Vyas,K.N.Darji.Order of Magnitude of Multiple Fourier Coefficients[J].Analysis in Theory and Applications,2013,29(1):27-36.
10谢庭藩.ON L^1-APPROXIMATION OF THE FUNCTIONS WITH QUASI-MONOTONE FOURIER COEFFICIENTS[J].Chinese Science Bulletin,1983,28(3):294-297.

Acta Mathematica Sinica,English Series

1997年第4期

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On the Third and Fourth Power Moments of Fourier Coefficients of Cusp Forms 被引量：2

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