On Riesz means of the coefficients of spinor zeta functions in genus two |
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| Authors: | Winfried Kohnen Haiyan Wang |
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| Institution: | 1.Mathematisches Institut,Universit?t Heidelberg,Heidelberg,Germany;2.School of Statistic and Mathematics,Shandong Economic University,Ji’nan,China |
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| Abstract: | Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp 2(?) of genus 2. The Fourier coefficients of the spinor zeta function Z F (s) are denoted by c n . Let D ρ (x;Z F ) be the Riesz mean of c n . In this paper, we obtain the truncated Voronoï-type formula of D ρ (x;Z F ) under the Ramanujan–Petersson conjecture. |
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