Graph spectra for finite upper half planes over rings
نویسندگان
چکیده
منابع مشابه
A trace formula for finite upper half planes
In this paper, we prove a trace formula for finite upper half planes Hq. A brief outline is as follows: Fix a subgroup Γ ⊂ GL(2, Fq). The adjacency operators Aa act on functions in L(Γ\Hq); thus, we may consider Aa = Aa|L2(Γ\Hq). We prove a trace formula which is an equality between a weighted sum of the traces of the operators Aa and a sum over the conjugacy classes of Γ. The trace formula all...
متن کاملSpectra of Heisenberg Graphs over Finite Rings
We investigate spectra of Cayley graphs for the Heisenberg group over Þnite rings Z/pZ, where p is a prime. Emphasis is on graphs of degree four. We show that for odd p there is only one such connected graph up to isomorphism. When p = 2, there are at most two isomorphism classes. We study the spectra using representations of the Heisenberg group. This allows us to produce histograms and butter...
متن کاملTate Rings over Essentially Singular Planes
Let Ũ > φ. In [20], the authors described triangles. We show that n is anti-infinite and quasi-partially sub-minimal. Therefore recent interest in singular, almost reducible, Gaussian classes has centered on extending morphisms. In future work, we plan to address questions of uniqueness as well as surjectivity.
متن کاملFourier expansions of complex-valued Eisenstein series on finite upper half planes
Before outlining our results, let us give a brief summary of the classical results for which we have found finite analogs. This work is a part of a continuing project to seek out finite analogs of Terras [17, Chapter 2]. The usual Poincaré upper half plane H consists of complex numbers z = x + iy with y > 0. The Poincaré arc length is defined by ds2 = y−2(dx2 + dy2) and the corresponding Laplac...
متن کاملKernel representations for behaviors over finite rings
In behavioral theory, a central role is played by the set B of trajectories that belong to a dynamical system Σ, see the textbook [11]. In fact, the dynamical system is defined as a triple Σ = (T,W,B), where T is the time axis, W is the signal alphabet, and where B, the behavior of the system, is a subset of W. In this paper we consider dynamical systems Σ = (Z+,R ,B), where R is the ring Zpr ....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1995
ISSN: 0024-3795
DOI: 10.1016/0024-3795(95)00173-o