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Quadratic integer
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51	PDF Document Add to Reading List Source URL: www.emis.ams.org Language: English - Date: 2012-06-12 13:07:33 Modular arithmetic Algebraic number theory Integer sequences Quadratic residue Mersenne prime Quadratic reciprocity Prime number Perfect number Quartic reciprocity Mathematics Number theory Abstract algebra
52	Course Syllabus Math[removed]: Number Theory Spring Semester, 2009 University of West Georgia Instructor: Dr. David G. Robinson, Boyd #306, [removed]E-Mail: [removed] Add to Reading List Source URL: www.westga.edu Language: English - Date: 2012-02-20 07:47:32 Modular arithmetic Integer sequences Quadratic residue Euclidean plane geometry Fermat number Prime number Chinese remainder theorem Euclidean algorithm Linear congruence theorem Mathematics Abstract algebra Number theory
53	Number Theory: A Contemporary Introduction Pete L. Clark Contents Chapter 1. The Fundamental Theorem and Some Applications 1. Foundations Add to Reading List Source URL: math.uga.edu Language: English - Date: 2014-09-04 01:56:58 Algebraic number theory Ring theory Integer sequences Modular arithmetic Prime number Multiplicative function Quadratic reciprocity Coprime Integral domain Abstract algebra Mathematics Number theory
54	Mod p3 analogues of theorems of Gauss and Jacobi on binomial coefficients John B. Cosgrave1 , Karl Dilcher2 1 Dublin, Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-09-29 09:20:19 Abstract algebra John B. Cosgrave Integer sequences Fermat quotient Prime number Quadratic residue Mathematics Number theory Modular arithmetic
55	LOWER BOUNDS FOR THE PRINCIPAL GENUS OF DEFINITE BINARY QUADRATIC FORMS arXiv:0811.0358v2 [math.NT] 25 Oct[removed]KIMBERLY HOPKINS AND JEFFREY STOPPLE Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-02-23 21:39:50 Arithmetic functions Integer sequences Prime number theorem Chebyshev function Big O notation Exponentiation Prime number Riemann hypothesis Prime gap Mathematics Mathematical analysis Number theory
56	Root separation for reducible integer polynomials Yann Bugeaud and Andrej Dujella Abstract We construct parametric families of (monic) reducible polynomials having two roots very close to each other. Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-11-21 13:19:28 Irreducible polynomial Algebraic number Monic polynomial Quadratic equation Rational root theorem Discriminant Mathematics Algebra Polynomials
57	Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-11-03 09:49:23 Modular arithmetic Algebraic number theory Quadratic residue Integer factorization algorithms Lenstra elliptic curve factorization Quadratic reciprocity Abstract algebra Mathematics Number theory
58	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
59	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve
60	MAPREDUCE FOR INTEGER FACTORIZATION arXiv:1001.0421v1 [cs.DC] 4 Jan 2010 JAVIER TORDABLE Abstract. Integer factorization is a very hard computational problem. Currently no efficient algorithm for integer factorization i Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-01-03 19:17:14 Number theory Quadratic sieve General number field sieve MapReduce Integer factorization Quadratic residue Factor base Factorization RSA Integer factorization algorithms Cryptography Mathematics

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