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Abstract analytic number theory
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#	Item
111	Constructing pairing-friendly hyperelliptic curves using Weil restriction David Mandell Freeman (Stanford Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2011-04-01 18:55:43 Cryptography Algebraic surfaces Group theory Analytic number theory Abelian variety Supersingular elliptic curve Pairing Abstract algebra Algebra Elliptic curves
112	Articles Articles on Mathematics Fisher, T., Schaefer, E.F. and Stoll, M. The yoga of the Cassels Tate pairing, LMS J. Comput. Math., 13, 2010, [removed]Kachisa, E.J., Schaefer, E.F. and Scott, M. Constructing Brezing-We Add to Reading List Source URL: math.scu.edu Language: English - Date: 2015-01-28 15:07:01 Number theory Cryptography Algebraic curves Diophantine geometry Analytic number theory Elliptic curve Abelian variety Isogeny Pairing Abstract algebra Mathematics Algebra
113	CONSTRUCTING PAIRING-FRIENDLY HYPERELLIPTIC CURVES USING WEIL RESTRICTION DAVID MANDELL FREEMAN1 AND TAKAKAZU SATOH2 Abstract. A pairing-friendly curve is a curve over a finite field whose Jacobian has small embedding de Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2010-07-03 02:01:33 Algebraic curves Algebraic surfaces Elliptic curves Analytic number theory Abelian varieties Isogeny Hyperelliptic curve Supersingular elliptic curve Weil restriction Algebraic geometry Abstract algebra Geometry
114	Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10. David Freeman University of California, Berkeley [removed] Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:44 Elliptic curves Elementary algebra Equations Group theory Analytic number theory Supersingular elliptic curve Quartic function Curve Quadratic equation Mathematics Abstract algebra Algebra
115	3-2 A Functional Cryptosystem Using a Group Action YAMAMURA Akihiro The main purpose of this paper is to examine applications of group theoretical concepts to cryptography. We construct a backward deterministic system em Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2013-11-21 18:57:46 Analytic number theory Modular form Moduli theory Quotient group Algebraic number field Normal subgroup Matrix Spectral theory of ordinary differential equations Representation theory of finite groups Abstract algebra Algebra Group theory
116	Developing a Consistent Domain-Oriented Distributed Object Service∗ Chryssis Georgiou † Peter M. Musiał Abstract Add to Reading List Source URL: www.cs.ucy.ac.cy Language: English - Date: 2007-11-27 04:33:15 Prime-counting function Function Foreach loop Mathematics Computing Analytic number theory
117	COMPLEXITY OF BEZOUT’S THEOREM IV: PROBABILITY OF SUCCESS; EXTENSIONS Michael Shub1 and Steve Smale1 Abstract. We estimate the probability that a given number of projective Newton steps applied to a linear homotopy of Add to Reading List Source URL: www6.cityu.edu.hk Language: English - Date: 2012-09-11 23:37:41 Spectral theory Ordinary differential equations Operator theory Analytic number theory Differential topology Orbifold Holomorphic functional calculus Mathematics Mathematical analysis Algebra
118	2015-ohp-english+pictures.pdf Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-01-31 12:05:20 Number theory Group theory Analytic number theory Hodge theory Elliptic curve P-adic number Characteristic Theta function Abstract algebra Mathematics Field theory
119	Sage Reference Manual: Modular Forms Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:21 Mathematics Analytic number theory Group theory Field theory Eisenstein series Hecke operator Congruence subgroup Cusp form Atkin–Lehner theory Abstract algebra Modular forms Mathematical analysis
120	Sage Reference Manual: Plane curves Release 6.6.beta0 The Sage Development Team February 21, 2015 Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:21 Algebraic curves Analytic number theory Projective geometry Elliptic curve cryptography Elliptic curves Elliptic curve Hyperelliptic curve Projective space Curve Geometry Abstract algebra Algebraic geometry