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Modular arithmetic
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221	Some minor arcs estimates related to the paper “Roth’s theorem in the primes”. This set of notes is intended to supply details of some estimates required in the paper [2] of the title. It is normal, when writing a Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2013-08-05 12:58:17 Finite fields XTR Modular arithmetic Exponentiation Quadratic residue Sturm–Liouville theory Quadratic reciprocity Abstract algebra Mathematics Algebra
222	Constructing a covering set for numbers 2k + p While optimizing a program for calculating small members of Sloane’s A094076, I noticed that the order of 2 mod 21 +1 = 3, 22 +1 = 5, 24 +1 = 17, 28 + 1 = 257, 216 + 1 = 6 Add to Reading List Source URL: math.crg4.com Language: English - Date: 2008-02-08 20:22:41 Modular arithmetic Quadratic residue Integer sequences Prime number Algebraic number theory Quartic reciprocity Mathematics Number theory Abstract algebra
223	16 The Quadratic Reciprocity Law Fix an odd prime p. If q is another odd prime, a fundamental question, as Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-05-18 19:01:26 Algebraic number theory Modular arithmetic Quadratic residue Quadratic reciprocity Euclidean algorithm Reciprocity law Prime number Proofs of quadratic reciprocity Abstract algebra Mathematics Number theory
224	New York City College of Technology Add to Reading List Source URL: www.citytech.cuny.edu Language: English - Date: 2014-07-01 12:40:14 Number theory Standards-based education Modular arithmetic Quadratic residue Educational psychology Prime number Homework Primality test Quadratic reciprocity Mathematics Education Abstract algebra
225	New York City College of Technology The City University of New York DEPARTMENT: Mathematics PREPARED BY: Professor Satyanand Singh COURSE: MAT 3021 TITLE: Number Theory Add to Reading List Source URL: www.citytech.cuny.edu Language: English - Date: 2014-04-21 23:54:26 Modular arithmetic Quadratic residue Prime number Integer factorization Fundamental theorem of arithmetic Primality test Euclidean algorithm Quadratic reciprocity Number Mathematics Number theory Abstract algebra
226	Package ‘rsprng’ July 2, 2014 Version 1.0 Date 2010-03-01 Title R interface to SPRNG (Scalable Parallel Random Number Generators) Author Na (Michael) Li Add to Reading List Source URL: cran.r-project.org Language: English - Date: 2014-07-02 16:22:27 Mathematics Computing Modular arithmetic Linear congruential generator Random number generation Lagged Fibonacci generator Generator Random seed Cryptographically secure pseudorandom number generator Pseudorandom number generators Randomness Cryptography
227	Elementary Number Theory A revision by Jim Hefferon, St Michael’s College, 2003-Dec of notes by W. Edwin Clark, University of South Florida, 2002-Dec LATEX source compiled on January 5, 2004 by Jim Hefferon, jim@joshu Add to Reading List Source URL: joshua.smcvt.edu Language: English - Date: 2013-03-24 17:32:16 Integer sequences Modular arithmetic Division Fermat number Prime number Divisor Repunit Euclidean algorithm Divisibility rule Mathematics Number theory Elementary number theory
228	17 Sums of two squares n = a2 + b2; a, b ≥ 0, n ≥ 1 Note: Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-05-25 16:39:44 Modular arithmetic Algebraic number theory Integer factorization algorithms Quadratic residue Quadratic reciprocity Number theory Mathematics Abstract algebra
229	5 Linear Equations Basic problem: Fix a1 , . . . , an ∈ Z, n > 0. Consider the equation: a1x1 + . . . an xn = a · x = m, Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-04-19 14:17:30 Modular arithmetic Multiplicative functions Number theory Mathematics Compilers GCD test
230	7 Linear Equations mod m Given a, c ∈ Z, we want to solve ax ≡ c (mod m) Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-04-27 17:26:52 Modular arithmetic Linear congruence theorem Quadratic reciprocity Number theory Abstract algebra Mathematics

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