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Shifted convolution of cusp-forms with $$\theta $$-series |
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| Authors: | Guangshi Lü Jie Wu Wenguang Zhai |
| Institution: | 1.School of Mathematics,Shandong University,Jinan,China;2.Université de Lorraine, Institut élie Cartan de Lorraine, UMR 7502,Vand?uvre-lès-Nancy,France;3.Department of Mathematics,China University of Mining and Technology,Beijing,China |
| Abstract: | In this paper we apply some simple approaches to improve a recent result of Luo on the shifted convolution sum of the Fourier coefficients of a cusp form and a theta series. A mean square formula is established in order to explore the right order of magnitude of this shifted convolution sum. |
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