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Upper half-plane
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1	Fundamental Domains for Shimura Curves David R. Kohel and Helena A. Verrill Abstract We describe a process for defining and computing a fundamental domain in the upper half plane H of a Shimura curve X0D (N ) associated Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2012-11-13 10:11:21 Ring theory Algebraic number theory Field theory Hyperbolic geometry Quadratic forms Quaternion algebra Algebraic number field Quadratic field Modular curve Quaternion Order Central simple algebra
2	AUTOMORPHIC FORMS NOTES, PART I DANIEL LITT The goal of these notes are to take the classical theory of modular/automorphic forms on the upper half plane and reinterpret them, first in terms L2 (Γ \ SL(2, R)) and then i Add to Reading List Source URL: math.columbia.edu Language: English - Date: 2015-04-14 21:36:19
3	Hyperbolic Toolbox Version 1.0 William Goldman University of Maryland http://egl.math.umd.edu/ Edited by Ryan Hoban August 2007 Add to Reading List Source URL: www.egl.math.umd.edu Language: English - Date: 2011-04-20 14:35:08 Hyperbolic geometry SL2 Unit disk Z1 Poincar disk model Z2 Upper half-plane Poincar half-plane model
4	Review of The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The Laplace-Beltrami operator on the upper half-plane with respect to the hyperbolic metric is ∂2 ∂x2 Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-25 18:03:28 Modular forms Selberg trace formula Fuchsian group Automorphic form Cusp form Congruence subgroup Hecke operator Induced representation Möbius transformation Abstract algebra Mathematical analysis Mathematics
5	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 2011-10-03 12:00:08 Geometric topology Hyperbolic geometry Number theory Uniformization theorem Differential geometry of surfaces Surface Upper half-plane Möbius transformation Manifold Geometry Riemann surfaces Differential geometry
6	数理解析研究所講究録第 727 巻 1990 年 [removed]Extended automorphic forms on the upper half plane Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-05-08 22:26:26 Characteristic function Probability theory Distribution Quantum mechanics Plancherel theorem for spherical functions Dirichlet series Mathematical analysis Mathematics Generalized functions
7	AUTOMORPHIC FORMS NOTES, PART I DANIEL LITT The goal of these notes are to take the classical theory of modular/automorphic forms on the upper half plane and reinterpret them, first in terms L2 (Γ \ SL(2, R)) and then i Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2012-10-16 18:46:50 Differential topology Mathematics Operator theory Orbifold Linear temporal logic Mathematical analysis Representation theory Abstract algebra
8	SECOND MOMENTS OF GL2 AUTOMORPHIC L–FUNCTIONS Adrian Diaconu and Dorian Goldfeld §1 Introduction Let H denote the upper half-plane. A complex valued function f defined on H is called an Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2006-01-18 11:57:25 Beta code Analytic geometry Complex analysis Symbol
9	CHAPTER 3 The p-adic upper half plane Samit Dasgupta1 and Jeremy Teitelbaum2 Introduction The p-adic upper half plane X is a rigid analytic variety over a p-adic field K, Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:51:28 Field theory Algebraic geometry Analytic geometry Linear algebra Algebraic topology Valuation Norm Lattice Building Abstract algebra Algebra Mathematics
10	Conformal Mappings from the Upper Half Plane to Fundamental Domains on the Hyperbolic Plane Add to Reading List Source URL: www.math.auckland.ac.nz Language: English - Date: 2003-06-24 20:03:11 Complex analysis Projective geometry Ordinary differential equations Riemann surfaces Kleinian groups Schwarzian derivative Möbius transformation Hypergeometric function Law of cosines Geometry Mathematical analysis Mathematics

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