On 3rd and 4th moments of finite upper half plane graphs
نویسندگان
چکیده
منابع مشابه
A special subspace of weighted spaces of holomorphic functions on the upper half plane
In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...
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For the finite field IFq of q elements (q odd) and a quadratic nonresidue α ∈ IFq, we define the distance function δ ( u+ v √ α, x+ y √ α ) = (u− x)2 − α(v − y)2 vy on the upper half plane Hq = {x + y √ α | x ∈ IFq, y ∈ IFq} ⊆ IFq2 . For two sets E ,F ⊂ Hq with #E = E, #F = F and a non-trivial additive character ψ on IFq, we give the following estimate ∣∣∣∣∣ ∑ w∈E,z∈F ψ(δ(w, z)) ∣∣∣∣∣ ≤ min {√ ...
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In the first part of the paper we show that the Busemann 1-compactification of the Siegel upper half plane of rank n: SHn = Sp(n, R)/Kn is the compactification as a bounded domain. In the second part of the paper we study certain properties of discrete groups Γ of biholomorphisms of SHn. We show that the set of accumulation points of the orbit Γ(Z) on the Shilov boundary of SHn is independent o...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2007
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2005.09.008