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Elliptic integrals the arithmetic-geometric mean and the Brent-Salamin algorithm for π Notes by GJO Jameson Contents 1 The integrals Ia b and Kb 2 The arithmetic-geometric…

Presentations for cusped arithmetic hyperbolic lattices Alice Mark, Julien Paupert∗ August 20, 2018 Abstract We present a general method to compute a presentation for any…

Introduction to Exact Real Arithmetic ∗ R f1 f2R R %% % Γ1 Γ2 %% % Γ1 Γ2 IN ININ ININ -1.5 -1 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1 1.5 7−→ -1.5 -1 -0.5 0 0.5 1…

8/3/2019 Jens Bockenhauer and David E. Evans- On -Induction, Chiral Generators and Modular Invariants for Subfactors 1/66arXiv:math/9904109v2[math.OA]28Oct1999On -Induction,…

This is a digital copy of a book that was preserved for generations on library shelves before it was carefully scanned by Google as part of a project to make the worldâs…

Mathematical Association of America is collaborating with JSTOR to digitize, preserve and extend access to The American Mathematical Monthly. http://www.jstor.org Gauss,…

Random Arithmetic Formulas can be Reconstructed Efficiently Full Version Ankit Gupta ∗ Neeraj Kayal † Youming Qiao ‡ November 30 2012 Abstract Informally stated we…

ARITHMETIC PROGRESSIONS OF LENGTH THREE IN SUBSETS OF A RANDOM SET YOSHIHARU KOHAYAKAWA†, TOMASZ LUCZAK‡ and VOJTĚCH RÖDL* Abstract. For integers 1 ≤ M ≤ n, let…

ACTA ARITHMETICA LXXV2 1996 Arithmetic progressions of length three in subsets of a random set by Yoshiharu Kohayakawa São Paulo Tomasz Łuczak Poznań and Atlanta Ga and…

R-groups and parametersR-GROUPS AND PARAMETERS DUBRAVKA BAN AND DAVID GOLDBERG Let G be a p-adic group, SO2n+1, Sp2n, O2n or Un. Let π be an irreducible discrete series

A Survey of Arithmetic Applications of Capacity Theory Robert Rumely Banff International Research Station The Geometry Algebra and Analysis of Algebraic Numbers October 8…

Sage 9.1 Reference Manual: Arithmetic Subgroups of SL2Z Release 9.1 The Sage Development Team May 21, 2020 CONTENTS 1 Arithmetic subgroups finite index subgroups of SL2Z…

Free Topological Groups Mikhail Tkachenko Minicourse Universidad Complutense de Madrid Introduction Let G · be an abstract group with multiplication m : G × G → G mx…

Linear Representations of Finite Groups Randall R Holmes Auburn University 1 0 Introduction Let G be a finite group let K be a field and let V be a finite-dimensional vector…

Primes in arithmetic progressions to large moduli James Maynard University of Oxford Second Symposium in Analytic Number Theory Cetraro July 2019 James Maynard Primes in…

CONVERGENCE OF MEASURES ON COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES CHRISTOPHER DAW ALEXANDER GORODNIK AND EMMANUEL ULLMO Abstract We conjecture that the set of homogeneous…

Lie groups and Lie algebras Fall 2019 1. Terminology and notation 1.1. Lie groups. A Lie group is a group object in the category of manifolds: Definition 1.1. A Lie group…

Slide 1Functional Groups, Orbitals, and Geometry Slide 2 Resonance Structures Slide 3 Bond Polarity - Part I  A bond is polar when the charge is not equally shared between…

Physics © Springer-Verlag 1992 A. Alekseev, L. Faddeev, and M. Semenov-Tian-Shansky St. Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St. Petersburg

ON MARDEN'S UNIVERSAL CONSTANT OF FUCHSIAN GROUPS BY AKIRA YAMADA Let G be a Fuchsian group operating on the upper half plane H. For and r>0, let Δ(z, r) be