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Algebraic number
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#	Item
751	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic curves Abelian varieties Finite fields Diophantine geometry Analytic number theory Mordell–Weil theorem Elliptic function Victor S. Miller Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
752	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
753	Efficient Algorithms for Pairing-Based Cryptosystems Paulo S. L. M. Barreto1 , Hae Y. Kim1 , Ben Lynn2 , and Michael Scott3 1 Add to Reading List Source URL: doras.dcu.ie Language: English - Date: 2009-12-03 09:35:00 Finite fields Cryptography Group theory Algebraic number theory Weil pairing XTR Frobenius endomorphism Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
754	Publ. Mat[removed]), 413–448 DOI: [removed]PUBLMAT[removed]A DEGREE PROBLEM FOR TWO ALGEBRAIC NUMBERS AND THEIR SUM ¯ ras Dubickas, and Chris Smyth Add to Reading List Source URL: ddd.uab.cat Language: English - Date: 2012-06-14 14:05:45 Transcendental numbers Numbers Algebraic number theory Tensor product of fields Diophantine approximation Constructible universe Algebraic number field Ordinal arithmetic Gelfond–Schneider theorem Mathematics Field theory Number theory
755	MOSCOW MATHEMATICAL JOURNAL Volume 4, Number 3, July–September 2004, Pages 559–592 FEDOSOV QUANTIZATION IN ALGEBRAIC CONTEXT R. BEZRUKAVNIKOV AND D. KALEDIN To B. L. Feigin on his 50th anniversary Add to Reading List Source URL: www.ams.org Language: English - Date: 2004-11-24 12:27:23 Symplectic geometry Algebraic topology Hamiltonian mechanics Homology theory Vector bundles Symplectic vector space Sheaf Differentiable manifold Principal homogeneous space Abstract algebra Topology Algebra
756	ARI Curriculum Companion – Investigating Patterns, Functions, and Algebra Introduction In this section, the lessons focus on algebraic reasoning. Students explore the relationships found in number patterns through ari Add to Reading List Source URL: www.doe.virginia.gov Language: English - Date: 2012-06-20 12:34:11 Function Linear Number Algebra Mathematics Elementary arithmetic Addition
757	Efficient Indifferentiable Hashing into Ordinary Elliptic Curves⋆ Eric Brier1 , Jean-S´ebastien Coron2 , Thomas Icart2⋆⋆ , David Madore3 , Hugues Randriam3 , and Mehdi Tibouchi2,4⋆ ⋆ ⋆ 1 Ingenico Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-06-03 09:18:30 Elliptic curves Analytic number theory Elliptic curve Group theory Oracle machine Boneh/Franklin scheme Supersingular elliptic curve Prime number Algebraic curve Abstract algebra Cryptography Mathematics
758	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]DELTA-STRUCTURES ON MAPPING CLASS GROUPS AND Add to Reading List Source URL: www.math.nus.edu.sg Language: English - Date: 2012-09-08 08:59:28 Mathematics Algebraic topology Diffeomorphism Braid group Mapping class group Homotopy groups of spheres Fundamental group Covering space Isomorphism theorem Topology Abstract algebra Homotopy theory
759	Index k-algebra center of a, 4 central, 8 deﬁnition, 3 Add to Reading List Source URL: www.ams.org Language: English - Date: 2013-05-30 09:14:56 Algebras Ring theory Quaternion algebra Algebra over a field Brauer group Ideal norm Abstract algebra Algebra Algebraic number theory
760	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

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