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Elliptic curve
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951	TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks∗ An Liu Department of Computer Science NC State University, Raleigh, NC[removed]email: [removed] Add to Reading List Source URL: discovery.csc.ncsu.edu Language: English - Date: 2011-11-09 13:26:10 Mathematics Computing Wireless sensor network Elliptic Curve DSA Sensor node Integrated Encryption Scheme Program optimization Elliptic curve Key size Finite fields Cryptography Elliptic curve cryptography
952	A HYPERELLIPTIC SMOOTHNESS TEST, II H. W. LENSTRA Jr, J. PILA and CARL POMERANCE [Received 28 June[removed]Contents 1. Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Algebraic curves Polynomials Analytic number theory Algebraic surfaces Elliptic curve Abelian variety Lenstra elliptic curve factorization Field Intersection number Abstract algebra Algebra Niels Henrik Abel
953	More applications of multiple Dirichlet series Gautam Chinta Bretton Woods, NH 13 July 2005 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Analytic number theory Elliptic curve Group theory Fourier series Dirichlet character Symbol Conjectures Modular forms Generalized Riemann hypothesis Abstract algebra Mathematical analysis Mathematics
954	SIAM J. COMPUT. (C[removed]Society for Industrial and Applied Mathematics Vol. 17, No. 2, April 1988 Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-11-16 13:52:48 Cryptography Quadratic sieve Quadratic residue Prime number Lenstra elliptic curve factorization Factorization Integer factorization Primality certificate Euclidean algorithm Integer factorization algorithms Mathematics Number theory
955	INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011) Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2011-09-27 14:35:17 Integer sequences Modular arithmetic Group theory Analytic number theory Elliptic curve Primality test Coprime Prime number Carmichael number Mathematics Abstract algebra Number theory
956	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
957 $MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi$	MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-03-08 11:36:50 Modular forms Analytic number theory Elliptic functions Riemann surfaces Algebraic curves J-invariant Theta function Congruence subgroup Classical modular curve Abstract algebra Mathematical analysis Mathematics
958 $Workshop on group schemes and p-divisible groups: Homework[removed]Let K be the fraction field of a complete discrete valuation ring with mixed characteristic (0, p) and perfect residue field. Let K/K be an algebraic closu$	Workshop on group schemes and p-divisible groups: Homework[removed]Let K be the fraction field of a complete discrete valuation ring with mixed characteristic (0, p) and perfect residue field. Let K/K be an algebraic closu Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:21 Niels Henrik Abel Module theory Algebraic groups Abelian variety Abelian group Tate module Elliptic curve Étale cohomology Torsion Abstract algebra Algebra Homological algebra
959	ON BALANCED SUBGROUPS OF THE MULTIPLICATIVE GROUP CARL POMERANCE AND DOUGLAS ULMER In memory of Alf van der Poorten A BSTRACT. A subgroup H of (Z/dZ)× is called balanced if every coset of H is evenly distributed between Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-09-20 13:20:49 Modular arithmetic Algebraic number theory Quadratic residue Finite groups Coprime Cyclic group Elliptic curve Quadratic reciprocity Factorial Mathematics Abstract algebra Number theory
960	Tobias Berger Title: An Eisenstein ideal for imaginary quadratic fields Abstract: For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein ideal in a Hecke algebra acting on cus Add to Reading List Source URL: math.bu.edu Language: English - Date: 2004-10-11 17:37:59 Analytic number theory Galois theory Field theory Heegner point Elliptic curve Modular form Galois module Quadratic field Class field theory Abstract algebra Algebra Algebraic number theory