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Elliptic curve
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#	Item
591	FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-05-03 13:25:59 Elliptic curves Finite fields Modular arithmetic Integer factorization algorithms Elliptic curve Supersingular elliptic curve Prime number Quadratic reciprocity Primality test Abstract algebra Mathematics Number theory
592	Reduction of binary forms over imaginary quadratic fields John Cremona University of Warwick, UK Bordeaux, 15 October 2007 Abstract: We show how the classical theory of reduction of real binary forms with Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2007-10-26 12:17:23 Quadratic forms Analytic number theory Linear algebra Real algebraic geometry Binary quadratic form Algebraic number field Elliptic curve Algebra Abstract algebra Mathematics
593	The Arithmetic of Hyperelliptic Curves E. V. Flynn∗ , Mathematical Institute, University of Oxford Abstract We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in partic Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2009-07-20 09:53:46 Elliptic curve Kummer surface Algebraic number field Hyperelliptic curve Hyperelliptic curve cryptography Trace Zero Cryptography Abstract algebra Algebraic geometry Algebraic curves
594	ELLIPTIC SPECTRA, THE WITTEN GENUS AND THE THEOREM OF THE CUBE M. ANDO, M. J. HOPKINS, AND N. P. STRICKLAND Contents 1. Introduction Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2004-04-28 11:11:11 Algebraic topology Cohomology theories Analytic number theory Algebraic groups Elliptic cohomology Elliptic curve Topological modular forms Atiyah–Singer index theorem Modular form Abstract algebra Algebra Mathematics
595	The elliptic curve database for conductors to[removed]John Cremona School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK. [removed] Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-07-31 09:42:40 Elliptic curves Analytic number theory Modular forms Group theory Conjectures Heegner point Modular elliptic curve Mwrank Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
596	Modular Forms: A Computational Approach William A. Stein (with an appendix by Paul E. Gunnells) Department of Mathematics, University of Washington E-mail address: [removed] Add to Reading List Source URL: modular.math.washington.edu Language: English - Date: 2009-04-21 02:18:33 Mathematics Hecke operator Cusp form Eisenstein series Modular curve Atkin–Lehner theory Elliptic curve Siegel modular form Automorphic form Modular forms Mathematical analysis Abstract algebra
597	London Mathematical Society ISSN 1461–1570 REDUCTION OF BINARY CUBIC AND QUARTIC FORMS J. E. CREMONA Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2010-04-21 06:41:36 Polynomials Algebraic number theory Field theory Quadratic forms Elementary algebra Quartic function Invariant of a binary form Discriminant Elliptic curve Algebra Abstract algebra Mathematics
598	A CLASS OF SOLUTIONS TO THE 3D CUBIC NONLINEAR ¨ SCHRODINGER EQUATION THAT BLOW-UP ON A CIRCLE JUSTIN HOLMER AND SVETLANA ROUDENKO Abstract. We consider the 3d cubic focusing nonlinear Schr¨odinger equation Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2010-03-22 13:41:48 Analytic number theory Elliptic curve Group theory Operator theory Spectral theory Spectral theory of ordinary differential equations Frobenius method Mathematical analysis Ordinary differential equations Mathematics
599	ON THE REDUCTION THEORY OF BINARY FORMS MICHAEL STOLL AND JOHN E. CREMONA 1. Introduction In [4], a reduction theory for binary forms of degrees three and four with integer coefficients was developed in detail, the motiv Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:46 Analytic number theory Riemann surfaces Field theory Projective geometry Linear algebra Möbius transformation Quadratic form Elliptic curve Algebraic number field Mathematical analysis Mathematics Abstract algebra
600	Asia Pacific Mathematics Newsletter Volume 1 Number 3 July 2011 Add to Reading List Source URL: www.austms.org.au Language: English - Date: 2012-07-31 22:40:13 Field theory Elementary mathematics Meromorphic functions Group theory Transcendental function Elliptic curve Gamma function Algebraic function Field extension Abstract algebra Mathematics Algebra

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