Hilbert modular group
WebMar 17, 2013 · Introduction. The aim of this paper is to calculate the first terms of the Fourier expansions of Eisenstein series with respect to the Hilbert modular groups, and other related groups, of a couple of totally real number fields, namely \mathbb {Q } (\sqrt {10}) and \mathbb {Q } (\zeta _ {9})^+, the latter being the maximal totally real subfield ... WebJun 24, 2024 · Throughout of this paper, for simplicity, we only consider the space of Hilbert modular forms over real quadratic fields F with narrow class number one on the full Hilbert modular group \(\Gamma =\text {SL}_2(\mathcal {O} ).\). 2.1 Notations. Let F be a real quadratic field with narrow class number equal to 1. Let D, \(\mathcal {O}\) and …
Hilbert modular group
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WebDec 23, 2024 · The Hilbert modular group may be replaced by some subgroup of finite index, such as a congruence subgroup. One can extend the Hilbert modular group by a group of … WebTHE LARGE-SCALE GEOMETRY OF HILBERT MODULAR GROUPS 439 Corollary 3b. Let Γ be a finitely generated group which is quasi-isometric to SL2(Od), where d is a square-free …
Webfor the Hilbert modular group corresponding to a. Moreover, we write ΓF = Γ(OF ⊕ OF) = SL 2(OF). (1.6) Let Γ ⊂ SL 2(F) be a subgroup which is commensurable with ΓF, i.e., Γ∩ΓF has … WebOct 31, 1976 · [10] Resnikoff H L 1974 On the graded ring of Hilbert modular forms associated with Q(√5) Math. Ann. 208 161-170. Crossref Google Scholar [11] Shvartsman O V 1974 Simple-connectedness of the factor space of the Hilbert modular group Funktsional. Anal. i Prilozhen. 8 (2) 99-100. Crossref Google Scholar
WebFeb 7, 2015 · What is the abelianization of the Hilbert modular group SL 2 ( O d)? If this is too hard, is at least the rank of the abelianization known? I'd also be interested in knowing this for finite-index subgroups of SL 2 ( O d). These groups are lattices in SL 2 … WebOutlineTorus embeddingsHilbert modular varieties and their boundary componentsToroidal compacti cation analytic theoryAlgebraic theory 1 Torus embeddings 2 Hilbert modular varieties and their boundary components 3 Toroidal compacti cation analytic theory 4 Algebraic theory Fritz H ormann Department of Mathematics and Statistics McGill University
WebSep 25, 2013 · On the elliptic points of the Hilbert modular group of the totally real cyclotomic cubic field ℚ (ζ 9) + Published online by Cambridge University Press: 25 …
WebIn logic, especially mathematical logic, a Hilbert system, sometimes called Hilbert calculus, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of system of … to heart pc版WebApr 7, 2024 · Hilbert Modular Groups This repository contains a python package hilbert_modgroup that implements algorithms for Hilbert modular groups, in particular a … to heart psxWebHarvey Cohn published several articles in the 1960's analyzing geometric properties of fundamental domains for Hilbert modular surfaces. H. Cohn, "On the shape of the fundamental domain of the Hilbert modular group," Theory of Numbers, A. L. Whiteman (Ed.), Proc. Svmpos. Pure Math. Vol. 8, Amer. Math. Soc, Providence, R. I., 1965,pp. 190-202. to heart pc 画像toheart pseWebextension of the notion of modular forms to other groups. An example of this is the step from SL (2,Z ) to the group SL (2, O K) with O K the ring of inte-gers of a totally real eld, the Hilbert modular group. Hilbert was inspired by Kronecker s Jugendtraum about generating abelian extensions of imaginary quadratic elds. people search venezuelaWebNov 8, 2013 · MotivationThe Hilbert Modular GroupResolution of the CuspsSignatures Notation OF = ring of integers of F We define the Hilbert modular group G = SL2(OF)=f … to heart\\u0027s contentWebHilbert modular forms, Siegel modular forms Heisenberg groups, Segal-Shale-Weil, theta correspondences, Siegel-Weil theorem representations of finite abelian groups [updated … to heart psp