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Theory of Forms
Results: 857

#	Item
711	The Leech lattice and other lattices. This is a corrected[removed]copy of my Ph.D. thesis. I have corrected several errors, added a few remarks about later work by various people that improves the results here, and missed Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-12-19 14:42:20 Quadratic forms Lie groups Lattice points Sporadic groups Moonshine theory II25 1 Leech lattice Unimodular lattice Niemeier lattice Abstract algebra Algebra Group theory
712	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
713	The monster Lie algebra. Adv. Math. Vol 83, No. 1, September 1990, p[removed]Richard E. Borcherds, Department of pure mathematics and mathematical statistics, 16 Mill Lane, Cambridge CB2 1SB, England. We calculate the mu Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:24 Lie algebras Moonshine theory Representation theory of Lie groups Quadratic forms Lie groups Monster Lie algebra Kac–Moody algebra Vertex operator algebra Weight Abstract algebra Algebra Mathematics
714	MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-01-19 19:29:21 Scheme theory Elliptic curves Algebraic surfaces Analytic number theory Algebraic geometry and analytic geometry Group scheme Abelian variety Curve Supersingular elliptic curve Abstract algebra Algebraic geometry Geometry
715	Automorphism groups of Lorentzian lattices. Journal of Algebra, Vol. 111, No. 1, Nov 1987, 133–153. Richard E. Borcherds, D.P.M.M.S., University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, England. The study of aut Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:04:02 Lie groups Lie algebras Sporadic groups Lattice points Quadratic forms II25 1 E8 Root system Dynkin diagram Abstract algebra Group theory Algebra
716	Eisenstein Series, Crystals and Ice Benjamin Brubaker, Daniel Bump, and Solomon Friedberg∗ July 31, 2011 1 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-08-01 10:42:02 Modular forms Analytic number theory Mathematical series Representation theory of Lie groups Joseph Fourier Eisenstein series Lattice Representation theory Fourier series Abstract algebra Algebra Mathematics
717	Problems in moonshine. Richard E. Borcherds, ∗ Mathematics department, Evans Hall #3840, University of California at Berkeley, CA[removed]U. S. A. e-mail: [removed] www home page www.math.berkeley.edu/˜ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-12-13 14:43:53 Moonshine theory Lie groups Modular forms Nonassociative algebra Monstrous moonshine Generalized Kac–Moody algebra Monster Lie algebra Monster vertex algebra Richard Borcherds Abstract algebra Algebra Lie algebras
718	Automorphic forms on Os+2,2 (R) and infinite products. Invent. Math. 120, p[removed]Richard E. Borcherds. Mathematics department, University of California at Berkeley, CA[removed]U. S. A. e-mail: [removed] Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2001-01-17 12:31:15 Modular forms Quadratic forms Lie groups Moonshine theory Analytic number theory Theta function Hecke operator Representation theory Jacobi form Mathematics Mathematical analysis Algebra
719	(July 2, [removed]Distributions supported on hyperplanes Paul Garrett [removed] http://www.math.umn.edu/egarrett/ [This document is http://www.math.umn.edu/˜garrett/m/fun/notes[removed]09c distns on subs.pdf] Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2013-07-02 12:03:34 Distribution Dirac delta function Constructible universe Spectral theory of ordinary differential equations Closed and exact differential forms Mathematical analysis Generalized functions Functional analysis
720	Reflection groups of Lorentzian lattices. 21 September[removed]Duke Math. J[removed]no. 2, [removed]Richard E. Borcherds, ∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2001-02-23 12:26:49 Modular forms Elliptic functions Riemann surfaces Lie groups Analytic number theory Lattice Theta function Möbius transformation Unimodular lattice Mathematical analysis Abstract algebra Geometry

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