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On the spinor zeta functions problem: higher power moments of the Riesz mean

100%

Wang H.

Acta Arithmetica

2013

tom 157

nr 3

231-248

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 $Z_F(s)$ are denoted by cₙ. Let $D_ρ(x;Z_F)$ be the Riesz mean of cₙ. Kohnen and Wang obtained the truncated Voronoï-type formula for $D_ρ(x;Z_F)$ under the Ramanujan-Petersson conjecture. In this paper, we study the higher power moments of $D_ρ(x;Z_F)$, and then derive an asymptotic formula for the hth (h=3,4,5) power moments of $D₁(x;Z_F)$ by using Ivić's large value arguments and other techniques.

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions

63%

R. D., Wang H.

Annales Polonici Mathematici

1998

tom 69

nr 2

155-165

We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

Ograniczanie wyników

1 Acta Arithmetica

1 Annales Polonici Mathematici

2 Wang H.

1 R. D.

1 2013

1 1998

Wyniki wyszukiwania

On the spinor zeta functions problem: higher power moments of the Riesz mean

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions