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

On Riesz means of the coefficients of spinor zeta functions in genus two
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DOI:
10.1007/s11139-011-9334-x
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发表时间:
2011-10
期刊:
The Ramanujan Journal
影响因子:
--
通讯作者:
W. Kohnen;Haiyan Wang
W. Kohnen;Haiyan Wang
中科院分区:
其他
文献类型:
--
作者:
W. Kohnen;Haiyan Wang

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LetFbe a Siegel cusp form of integral weightkon the Siegel modular groupSp2(ℤ) of genus 2. The Fourier coefficients of the spinor zeta functionZF(s) are denoted bycn. LetDρ(x;ZF) be the Riesz mean ofcn. In this paper, we obtain the truncated Voronoï-type formula ofDρ(x;ZF) under the Ramanujan–Petersson conjecture.