Residue curve

Results: 30



#Item
21Number theory / Finite fields / Conjectures / Analytic number theory / Elliptic curves / Elliptic curve primality proving / AKS primality test / Quadratic residue / Prime number / Abstract algebra / Mathematics / Primality tests

IMPLEMENTING THE ASYMPTOTICALLY FAST VERSION OF THE ELLIPTIC CURVE PRIMALITY PROVING ALGORITHM F. MORAIN Abstract. The elliptic curve primality proving (ECPP) algorithm is one of the current fastest practical algorithms

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Source URL: www.lix.polytechnique.fr

Language: English - Date: 2005-12-13 09:43:17
22Cryptography / Quadratic sieve / Quadratic residue / Prime number / Lenstra elliptic curve factorization / Factorization / Integer factorization / Primality certificate / Euclidean algorithm / Integer factorization algorithms / Mathematics / Number theory

SIAM J. COMPUT. (C[removed]Society for Industrial and Applied Mathematics Vol. 17, No. 2, April 1988

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2010-11-16 13:52:48
23Niels Henrik Abel / Module theory / Algebraic groups / Abelian variety / Abelian group / Tate module / Elliptic curve / Étale cohomology / Torsion / Abstract algebra / Algebra / Homological algebra

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

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:43:21
24Modular arithmetic / Algebraic number theory / Quadratic residue / Finite groups / Coprime / Cyclic group / Elliptic curve / Quadratic reciprocity / Factorial / Mathematics / Abstract algebra / Number theory

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

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-09-20 13:20:49
25Quadratic sieve / General number field sieve / Quadratic residue / Special number field sieve / Lenstra elliptic curve factorization / Euclidean algorithm / Prime number / Sieve of Eratosthenes / Smooth number / Integer factorization algorithms / Mathematics / Number theory

SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look

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Source URL: www.math.leidenuniv.nl

Language: English - Date: 2004-11-24 09:42:47
26Modular arithmetic / Quadratic residue / Algebraic number theory / Prime number / Coprime / Elliptic curve / Formula for primes / Mathematics / Number theory / Abstract algebra

On the Erd¨os-Straus Conjecture: Properties of Solutions to its Underlying Diophantine Equation Maria Monks and Ameya Velingker

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Source URL: www.cs.cmu.edu

Language: English - Date: 2012-02-14 12:05:51
27Number theory / Finite fields / Conjectures / Analytic number theory / Elliptic curves / Elliptic curve primality proving / AKS primality test / Quadratic residue / Prime number / Abstract algebra / Mathematics / Primality tests

IMPLEMENTING THE ASYMPTOTICALLY FAST VERSION OF THE ELLIPTIC CURVE PRIMALITY PROVING ALGORITHM F. MORAIN

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Source URL: www.lix.polytechnique.fr

Language: English - Date: 2005-12-13 09:43:17
28Complex analysis / Methods of contour integration / Residue theorem

LECTURE 8: CAUCHY’S INTEGRAL FORMULA I We start by observing one important consequence of Cauchy’s theorem: Let D be a simply connected domain and C be a simple closed curve lying in D. For some

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Source URL: home.iitk.ac.in

Language: English - Date: 2009-01-12 19:41:04
29Integer sequences / Modular arithmetic / Prime number / Solovay–Strassen primality test / Composite number / Trial division / Quadratic residue / Elliptic curve primality testing / Mathematics / Number theory / Primality tests

The Prime Facts: From Euclid to AKS c 2003 Scott Aaronson

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Source URL: www.scottaaronson.com

Language: English - Date: 2012-12-14 12:29:57
30Finite fields / Quadratic residue / Modular arithmetic / XTR / Number theory / Group theory / Quadratic reciprocity / Anatolii Alexeevitch Karatsuba / Elliptic curve / Abstract algebra / Mathematics / Ring theory

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Source URL: www.win.tue.nl

Language: English - Date: 2003-06-05 07:45:54
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