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On Riesz means of the coefficients of spinor zeta functions in genus two

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Abstract

Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp 2(ℤ) 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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Authors and Affiliations

  1. Mathematisches Institut, Universität Heidelberg, INF 288, 69120, Heidelberg, Germany

    Winfried Kohnen

  2. School of Statistic and Mathematics, Shandong Economic University, 7366 Erhuan Donglu, Ji’nan, Shandong, 250014, China

    Haiyan Wang

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  1. Winfried Kohnen
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  2. Haiyan Wang
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Correspondence to Haiyan Wang.

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Kohnen, W., Wang, H. On Riesz means of the coefficients of spinor zeta functions in genus two. Ramanujan J 26, 407–417 (2011). https://doi.org/10.1007/s11139-011-9334-x

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  • DOI: https://doi.org/10.1007/s11139-011-9334-x

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