On the spinor zeta functions problem: higher power moments of the Riesz mean
Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp₂(ℤ) of genus 2. The coefficients of the spinor zeta function are denoted by cₙ. Let be the Riesz mean of cₙ. Kohnen and Wang obtained the truncated Voronoï-type formula for under the Ramanujan-Petersson conjecture. In this paper, we study the higher power moments of , and then derive an asymptotic formula for the hth (h=3,4,5) power moments of by using Ivić’s large value arguments and other techniques.