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Lattice points
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91	COUNTING LATTICE VECTORS DENIS XAVIER CHARLES Abstract. We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that t Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2005-01-20 18:37:07 Quadratic forms Lattice points Lie groups Cryptography Linear algebra Lattice Unimodular lattice Modular form Vector space Algebra Mathematics Abstract algebra
92	Mean Squared Length of Vectors in the Approximate Greatest Common Divisor Lattice S. Murphy Technical Report Add to Reading List Source URL: www.ma.rhul.ac.uk Language: English - Date: 2012-09-10 05:20:10 Lattice points Lie groups Crystallography Analytic geometry Lattice Vector space Crystal structure Algebra Mathematics Linear algebra
93	Mean Squared Length of Vectors in the Approximate Greatest Common Divisor Lattice S. Murphy Information Security Group Department of Mathematics Royal Holloway Add to Reading List Source URL: www.isg.rhul.ac.uk Language: English - Date: 2012-09-05 05:07:53 Lattice points Crystallography Lie groups Group theory Lattice Crystal structure Vector space Algebra Mathematics Linear algebra
94	Lattices like the Leech lattice. Journal of Algebra, Vol. 130, No. 1, April 1990, 219–234. Richard E. Borcherds, Department of mathematics, University of California at Berkeley, Berkeley, California[removed]Introduction Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:17 Lattice points Quadratic forms Lie groups Lie algebras Sporadic groups II25 1 Leech lattice Root system Niemeier lattice Abstract algebra Algebra Group theory
95	The Leech lattice. Proc. R. Soc. Lond. A 398, [removed]Richard E. Borcherds, University of Cambridge, Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, Cambridge, CB2 1SB, U.K. New proofs of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:07 Lie groups Lattice points Quadratic forms Lie algebras Sporadic groups II25 1 Leech lattice Niemeier lattice Unimodular lattice Abstract algebra Group theory Algebra
96	Chapter 17 The 24-dimensional odd unimodular lattices. R. E. Borcherds. This chapter completes the classification of the 24-dimensional unimodular lattices by enumerating the odd lattices. These are (essentially) in one- Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:10:08 Quadratic forms Lattice points Lie groups Moonshine theory Sporadic groups II25 1 Leech lattice Unimodular lattice Niemeier lattice Algebra Abstract algebra Mathematics
97	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
98	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
99	A Siegel cusp form of degree 12 and weight 12. J. reine angew. Math[removed]153. Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. [removed] E. Freitag, Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:09:57 Quadratic forms Lattice points Lie groups Lie algebras Sporadic groups Leech lattice Unimodular lattice Modular form Lattice Abstract algebra Algebra Mathematics
100	Extended gcd and Hermite normal form algorithms via lattice basis reduction George Havas School of Information Technology The University of Queensland Queensland 4072, Australia Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2002-01-22 06:23:32 Algebra Abstract algebra Lie groups Euclidean algorithm Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice reduction Lattice Hungarian algorithm Mathematics Computational number theory Lattice points

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