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Coprime
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51	NOTES The Mathematical Method via One-variable Calculus Ma1a Fall 2010 DINAKAR RAMAKRISHNAN Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-01 16:20:10 Proof theory Number theory Diophantine equations Coprime Mathematical fallacy FO Mathematical induction Proof that π is irrational Binomial coefficient Mathematics Mathematical proofs Mathematical logic
52	NOTES ON THE MATHEMATICAL METHOD VIA ONE-VARIABLE CALCULUS MA1A FALL 2010 DINAKAR RAMAKRISHNAN Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-10-23 14:31:10 Proof theory Number theory Mathematical induction Coprime Irrational number Mathematical fallacy Floor and ceiling functions Ring Proof that π is irrational Mathematics Mathematical proofs Mathematical logic
53	Armenian Journal of Mathematics Volume 5, Number 1, 2013, 58–68 Factor Rings and their decompositions in the Eisenstein integers Ring Z [ω] Manouchehr Misaghian Add to Reading List Source URL: ajm.asj-oa.am Language: English - Date: 2013-07-17 08:30:07 Number theory Modular arithmetic Algebraic number theory Commutative algebra Quadratic residue Quadratic reciprocity Root of unity Euclidean domain Coprime Abstract algebra Mathematics Algebra
54	Chapter 0 Prerequisites All topics listed in this chapter are covered in A Primer of Abstract Mathematics by Robert B. Ash, MAA 1998. Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-06-06 11:06:16 Modular arithmetic Algebraic number theory Multiplicative functions Euclidean algorithm Coprime Fundamental theorem of arithmetic Prime number Well-order Axiom of choice Mathematics Number theory Abstract algebra
55	Analytic Number Theory Homework #4 (due Thursday, May 8, 2014) Problem 1: Let χ be a Dirichlet character (mod q) for some integer q > 1. Prove that L(1, χ) log q. Problem 2: Fix a prime p. Show that Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2014-04-16 14:02:50 Number theory Analytic number theory Modular forms Moduli theory Dirichlet character Coprime Root of unity Modular curve Mathematics Abstract algebra Mathematical analysis
56	Twenty-sixth International Olympiad, [removed]A circle has center on the side AB of the cyclic quadrilateral ABCD. The other three sides are tangent to the circle. Prove that AD + BC = AB[removed]Let n and k be give Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:22:07 Polynomial GCD test Number theory Mathematics Coprime
57	Remarks and Errata to “A Concrete Introduction to Higher Algebra”, 3rd edition, 2009, by Lindsay N. Childs, published by Springer-Verlag New York (first edition, 1979, second edition, [removed]My thanks to Ted Turner a Add to Reading List Source URL: www.albany.edu Language: English - Date: 2013-08-08 14:21:38 Modular arithmetic Quadratic residue Commutative algebra Prime number Chinese remainder theorem Coprime Euclidean algorithm Mathematical proof Mathematics Abstract algebra Number theory
58	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
59	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
60	Supplementary Problems[removed]Imagine a piece of graph paper. Starting at the origin, draw a path to the point (10,10), that stays on the grid lines (which are one unit apart) and has a total length of 20. For example, on Add to Reading List Source URL: www.mathematics.jhu.edu Language: English - Date: 2003-10-28 12:43:39 Elementary number theory Singly and doubly even Coprime Diophantine equations Mathematics Number theory Parity

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