Quadratic integer

Results: 150



#Item
81Public-key cryptography / Integer sequences / Integer factorization algorithms / RSA / Primality tests / Quadratic sieve / Prime number / Integer factorization / Factorization / Cryptography / Mathematics / Electronic commerce

(March 26, [removed]Cryptographic Primitives Paul Garrett [removed] http://www.math.umn.edu/˜garrett/

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Source URL: www.math.umn.edu

Language: English - Date: 2007-03-26 14:27:46
82Algebraic number theory / Analytic number theory / Elliptic curve / Quadratic form / Algebraic number field / Transcendental number / Algebraic integer / Ideal class group / Prime number / Abstract algebra / Mathematics / Algebra

Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I

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Source URL: www.math.tifr.res.in

Language: English - Date: 2004-10-19 06:36:06
83Integer factorization algorithms / Finite fields / Euclidean algorithm / Continued fraction / Elliptic curve / Quadratic sieve / Lenstra elliptic curve factorization / XTR / Prime number / Mathematics / Abstract algebra / Number theory

Cryptanalysis of RSA Using the Ratio of the Primes Abderrahmane Nitaj Laboratoire de Math´ematiques Nicolas Oresme Universit´e de Caen, France [removed]

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Source URL: www.math.unicaen.fr

Language: English - Date: 2009-03-27 17:29:38
84Algebra / Division / Elementary arithmetic / Fraction / Quadratic equation / Factorization / Polynomial / Number / Integer factorization / Mathematics / Elementary algebra / Equations

Contents at a Glance Introduction ............................................................................ 1 Part I: Getting Down to the Nitty-Gritty on Basic Operations[removed]TE

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Source URL: media.wiley.com

Language: English - Date: 2013-08-25 13:11:40
85Elementary algebra / Algebraic number theory / Constructible universe / Quartic function / Algebraic integer / Algebraic number field / Abstract algebra / Mathematics / Algebra

THE ADDITIVE UNIT STRUCTURE OF COMPLEX BI-QUADRATIC FIELDS VOLKER ZIEGLER Abstract. We determine which rings of the form Z[α] are generated by their units, where α is a root of the polynomial X 4 − BX 2 + D such that

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Source URL: finanz.math.tu-graz.ac.at

Language: English - Date: 2010-09-29 02:35:13
86Combinatorics / Transcendental number / Factorial / Irrational number / Quadratic irrational / Binomial coefficient / Square root of 2 / Mathematics / Number theory / Integer sequences

__________________________________________________________ New Proofs of the Irrationality of e 2 and e 4 __________________________________________________________ John B. Cosgrave 0. Prelude. The sequence {α n }∞

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Source URL: staff.spd.dcu.ie

Language: English - Date: 2007-08-27 11:30:07
87Abstract algebra / Integer factorization / Quadratic sieve / General number field sieve / RSA / Prime number / Primality test / Factorization / Discrete logarithm / Mathematics / Cryptography / Integer factorization algorithms

Integer Factorization Per Leslie Jensen Master Thesis D I K U

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Source URL: pgnfs.org

Language: English - Date: 2011-06-27 08:55:21
88Algebraic number theory / Ideal class group / Quadratic integer / Algebraic number field / Quadratic reciprocity / Quadratic field / Quadratic form / Gaussian integer / Ideal norm / Abstract algebra / Algebra / Mathematics

THE DIRICHLET CLASS NUMBER FORMULA FOR IMAGINARY QUADRATIC FIELDS The factorizations 6 = 2 · 3 = (1 +

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Source URL: people.reed.edu

Language: English - Date: 2014-04-10 09:31:43
89Analytic number theory / Elliptic curve / Group theory

SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ

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Source URL: www.math.harvard.edu

Language: English - Date: 2012-03-09 13:52:58
90Numbers / Quadratic sieve / General number field sieve / Lenstra elliptic curve factorization / Prime number / Integer factorization / Factorization / Sieve of Eratosthenes / Factor base / Integer factorization algorithms / Mathematics / Number theory

pomerance.qxp[removed]:16 AM Page[removed]A Tale of Two Sieves Carl Pomerance (This paper is dedicated to the memory of my friend and

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:07
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