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Quadratic field
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91	WITT EQUIVALENCE OF FUNCTION FIELDS OVER GLOBAL FIELDS PAWEL GLADKI AND MURRAY MARSHALL Abstract. Witt equivalent ﬁelds can be understood to be ﬁelds having the same symmetric bilinear form theory. Witt equivalence o Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2015-02-03 10:52:41 Valuation Field extension Quadratic form Algebraic number field Clifford algebra Approximately finite dimensional C*-algebra Abstract algebra Algebra Field theory
92	UNITARY GRASSMANNIANS OF DIVISION ALGEBRAS NIKITA A. KARPENKO Abstract. We consider a central division algebra over a separable quadratic extension of a base field endowed with a unitary involution and prove 2-incompress Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-08-22 06:04:43 Algebraic geometry Differential geometry Lie groups Homological algebra Generalized flag variety Unitary group Clifford algebra D-module Involution Abstract algebra Algebra Mathematics
93	LOWER BOUNDS FOR ESSENTIAL DIMENSIONS IN CHARACTERISTIC 2 VIA ORTHOGONAL REPRESENTATIONS A. BABIC AND V. CHERNOUSOV Abstract. We give a lower bound for the essential dimension of a split simple algebraic group of “adjo Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-20 18:07:56 Mathematics Orthogonal group Essential dimension Representation theory Field extension Clifford algebra Approximately finite dimensional C*-algebra Algebra Abstract algebra Quadratic forms
94	The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-02-20 12:09:35 Quadratic forms Algebraic curves Field theory Polynomials Algebraic number theory Hyperelliptic curve Elliptic curve Algebraic number field Discriminant Abstract algebra Algebra Mathematics
95	EUCLIDEAN QUADRATIC FORMS AND ADC-EXTENSIONS PETE L. CLARK Abstract. A classical result, often called the Davenport-Cassels Theorem, gives a sufficient condition for an integral quadratic form to integrally represent eve Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2010-09-06 04:13:12 Linear algebra Quadratic forms Ring theory Algebraic number theory Real algebraic geometry Euclidean domain Quadratic polynomial Algebraic number field Quadratic equation Algebra Abstract algebra Mathematics
96	Multivariate Quadratic Hash Jintai Ding, Bo-yin Yang* University of Cincinnati* Technical University of Darmstadt* Institute of Information Science, Academia Sinica Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2006-12-04 11:51:29** Electronic commerce Hidden Field Equations RSA QUAD Key Cryptographic hash function Polynomial Cryptography Public-key cryptography Post-quantum cryptography
97	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
98	Automorphisms of even unimodular lattices and unramified Salem numbers Benedict H. Gross and Curtis T. McMullen 1 January, 2002 Abstract Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2010-04-02 19:43:40 Polynomials Quadratic forms Linear algebra Algebraic number field Monic polynomial Field extension Cyclotomic polynomial Irreducible polynomial Inverse Galois problem Algebra Mathematics Abstract algebra
99	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve
100	MAPREDUCE FOR INTEGER FACTORIZATION arXiv:1001.0421v1 [cs.DC] 4 Jan 2010 JAVIER TORDABLE Abstract. Integer factorization is a very hard computational problem. Currently no efficient algorithm for integer factorization i Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-01-03 19:17:14 Number theory Quadratic sieve General number field sieve MapReduce Integer factorization Quadratic residue Factor base Factorization RSA Integer factorization algorithms Cryptography Mathematics

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