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Residue theorem
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21	On the Analysis of Cryptographic Assumptions in the Generic Ring Model Tibor Jager∗ Institut für Kryptographie und Sicherheit Karlsruhe Institute of Technology Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-01-25 16:56:30 Modular arithmetic Polynomials Quadratic residue Finite fields Lemmas Schwartz–Zippel lemma Chinese remainder theorem XTR Ring Mathematics Abstract algebra Algebra
22	The Voronoi summation formula Jordan Bell Department of Mathematics, University of Toronto October 27, 2014 Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2014-10-27 15:47:16 Analytic number theory Meromorphic functions Riemann zeta function Residue theorem Factorial Bernoulli polynomials Bessel function Summation Trigonometric functions Mathematical analysis Mathematics Number theory
23	Small e To encrypt quickly use small e . (corresponding d is large Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 1999-02-17 15:14:19 Chinese remainder theorem Public-key cryptography Quadratic residue Modular arithmetic Mathematics Commutative algebra
24	3 Countermeasures Against Information Leakage 3-1 Subgroup Membership Problem and Its Applications to Information Security YAMAMURA Akihiro and SAITO Taiichi The widely used algorithmic problems, the quadratic residue pr Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2013-11-21 18:57:32 Group theory Decisional Diffie–Hellman assumption Pseudorandom generator theorem Order Commitment scheme Probabilistic encryption XTR Sylow theorems Abstract algebra Cryptography Mathematics
25	Applied Mathematics for Reversers III Add to Reading List Source URL: www.reteam.org Language: English - Date: 2009-05-17 13:10:50 Modular arithmetic Extended Euclidean algorithm Modular multiplicative inverse Euclidean algorithm Greatest common divisor Coprime Chinese remainder theorem Multiplicative inverse Quadratic residue Mathematics Number theory Abstract algebra
26	Dirichlet’s Theorem on Arithmetic Progressions Anthony V´arilly Harvard University, Cambridge, MA[removed] Add to Reading List Source URL: math.rice.edu Language: English - Date: 2009-08-05 18:06:15 Dirichlet L-function Dirichlet character Symbol Character theory Quadratic residue Cyclotomic fields Gauss sum Generalized Riemann hypothesis Abstract algebra Mathematics Number theory
27	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
28	ON A THEOREM OF AUBRY-THUE ALFRED BRAUER AND R. L. REYNOLDS 1. Introduction. In 1913 L. Aubry [1] proved the following theorem: Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2011-09-25 15:53:25 Modular arithmetic Quadratic residue Linear congruence theorem Algebraic number field Prime number Coprime Quadratic reciprocity Wieferich prime Abstract algebra Mathematics Number theory
29	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
30	USA Mathematical Talent Search Solutions to Problem[removed]www.usamts.org[removed]For how many integers n between 1 and[removed] , inclusive, are the last 2007 digits of n and n3 the same? (If n or n3 has fewer than 2007 d Add to Reading List Source URL: www.usamts.org Language: English - Date: 2010-09-20 13:54:57 Modular arithmetic Prime number Multiplicative order Modulo operation Chinese remainder theorem Divisibility rule Quadratic residue Mathematics Number theory Abstract algebra

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