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Modular arithmetic
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#	Item
261	Applications to Chinese Remainder Theorem Applications to Chinese Remainder Theorem Abstract We demonstrate the usefulness of a simple mathematical result- the Chinese Remainder Theorem (CRT). A short informal introduct Add to Reading List Source URL: www.impic.org Language: English - Date: 2006-05-30 13:43:20 Modular arithmetic Public-key cryptography Electronic commerce RSA Multiplicative functions Euclidean algorithm Chinese remainder theorem Greatest common divisor Coprime Mathematics Number theory Abstract algebra
262	PROBLEM SOLVING MASTERCLASS WEEK[removed]Repeat) A stick is broken at random in two places. What is the probability that the three pieces can form a triangle? (A 20-second solution by Andy) 2. (Repeat) A rectangle is tiled Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-11-15 19:49:28 Algebraic number theory Ring theory Elementary number theory Integer Modular arithmetic Abstract algebra Mathematics Algebra
263	Zentralblatt MATH Database 1931 – 2006 c 2006 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag pre02186169 Everest, Graham; Ward, Thomas Add to Reading List Source URL: maths.dur.ac.uk Language: English - Date: 2006-07-21 11:40:30 Analytic number theory Modular arithmetic Quadratic residue Prime number Elliptic curve Quadratic Graduate Texts in Mathematics Algebraic number field Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Number theory
264	6.001, Spring Semester, 2007—Project 1 1 MASSACHVSETTS INSTITVTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science Add to Reading List Source URL: sicp.csail.mit.edu Language: English - Date: 2007-02-16 12:03:36 Integer sequences Group theory Modular arithmetic Finite fields Integer factorization algorithms Prime number RSA Primality test Quadratic residue Abstract algebra Mathematics Cryptography
265	ON THE 4-RANK OF CLASS GROUPS OF QUADRATIC NUMBER FIELDS DJORDJO MILOVIC ´ ´ PARIS-SUD 11 ADVISOR: ETIENNE Add to Reading List Source URL: www.algant.eu Language: English - Date: 2013-07-05 07:44:32 Algebraic number theory Modular arithmetic Quadratic residue Finite fields Quadratic reciprocity Quadratic field Prime number XTR Quadratic form Abstract algebra Mathematics Number theory
266	1 abelian group 266 absolute value 307 addition mod P 427 additive identity 293, 497 additive inverse 293 Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-08-31 12:46:44 Integer sequences Integer factorization algorithms Finite fields Modular arithmetic Computational hardness assumptions Prime number Quadratic residue RSA Quadratic sieve Mathematics Cryptography Abstract algebra
267	(December 19, [removed]Quadratic reciprocity (after Weil) Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-12-19 16:32:38 Algebraic number theory Modular arithmetic Field theory Quadratic residue Quadratic forms Reciprocity law Quadratic reciprocity Algebraic number field Hilbert symbol Abstract algebra Mathematics Algebra
268	Carmichael numbers and pseudoprimes Notes by G.J.O. Jameson Introduction Recall that Fermat’s “little theorem” says that if p is prime and a is not a multiple of p, then ap−1 ≡ 1 mod p. Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2010-06-11 07:53:10 Integer sequences Modular arithmetic Fermat number Carmichael number Prime number Coprime Lucas pseudoprime Strong pseudoprime Mathematics Number theory Pseudoprimes
269	Journal de Th´eorie des Nombres de Bordeaux[removed]), 583–594 A generalization of Scholz’s reciprocity law par Mark BUDDEN, Jeremiah EISENMENGER et Jonathan KISH Add to Reading List Source URL: www.math.ethz.ch Language: English - Date: 2009-01-22 09:21:13 Algebraic number theory Modular arithmetic Quadratic residue Reciprocity law Quadratic reciprocity Quartic reciprocity Legendre symbol Proofs of quadratic reciprocity Elliptic curve Abstract algebra Number theory Mathematics
270	Supplementary Material: A Computational Introduction to Number Theory and Algebra (Version 1) Last updated: [removed]This document contains supplementary exercises, examples, and a few alternative proofs Add to Reading List Source URL: shoup.net Language: English - Date: 2006-10-15 07:28:39 Commutative algebra Number theory Combinatorics Integer sequences Factorial Euclidean algorithm Exponentiation AN codes Ring Mathematics Abstract algebra Modular arithmetic

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