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Algebraic integer
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21	International Mathematical Olympiad Preliminary Selection Contest 2004 — Hong Kong Outline of Solutions Answers: Add to Reading List Source URL: web.hku.hk Language: English - Date: 2013-03-15 02:40:55 Integer sequences Integer factorization algorithms Prime number Algebraic number theory Field theory Quadratic sieve Wieferich prime
22	Lattice Points, Polyhedra, and Complexity Alexander Barvinok IAS/Park City Mathematics Series Volume , 2004 Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2004-11-01 10:23:42 Polyhedron Functions and mappings Algebraic varieties Euler characteristic Integer points in convex polyhedra Limit of a function Lattice Rational function Series Regular polyhedron
23	Fast Computation of Gauss Sums and Resolution of the Root of Unity Ambiguity Dang Khoa Nguyen Division of Mathematical Sciences School of Physical & Mathematical Sciences Nanyang Technological University Add to Reading List Source URL: www.ntu.edu.sg Language: English - Date: 2009-04-15 05:17:01 Polynomials Cyclotomic fields Field theory Algebraic numbers Algebraic number theory Gaussian period Quadratic Gauss sum Cyclotomic polynomial Root of unity Polynomial ring Algebraic integer Algebraic number field
24	Introduction to Number Theory Supplement on Gaussian Integers Spring 2016 Last Updated: April 10, 2016 This is a brief supplemental note on the Gaussian integers, written for my Add to Reading List Source URL: davidlowryduda.com Language: English - Date: 2016-04-10 04:24:41 Mathematics Algebra Abstract algebra Ring theory Algebraic number theory Commutative algebra Integer factorization algorithms Greatest common divisor Euclidean algorithm Unique factorization domain Factorization Gaussian integer
25	DEPARTMENT OF MATHEMATICS UNIVERSITY OF NIJMEGEN The Netherlands Cubic reciprocity and explicit primality tests for h · 3k ± 1 Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2008-03-26 17:39:14 Number theory Mathematics Algebra Algebraic number theory Modular arithmetic Quadratic residue Primality tests Integer sequences Reciprocity law Cubic reciprocity Prime number Quadratic reciprocity
26 $COMPLEX NUMBERS WITH BOUNDED PARTIAL QUOTIENTS WIEB BOSMA AND DAVID GRUENEWALD Abstract. Conjecturally, the only real algebraic numbers with bounded partial quotients in their regular continued fraction expansion are rat$	COMPLEX NUMBERS WITH BOUNDED PARTIAL QUOTIENTS WIEB BOSMA AND DAVID GRUENEWALD Abstract. Conjecturally, the only real algebraic numbers with bounded partial quotients in their regular continued fraction expansion are rat Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2011-09-16 10:50:18 Mathematics Mathematical analysis Algebraic numbers Continued fractions Number theory Partial fractions Transcendental number Quadratic irrational number Fraction Gaussian integer Partial fraction decomposition Pi
27	Innovations in Computer ScienceIdeal Forms of Coppersmith’s Theorem and Guruswami-Sudan List Decoding Henry Cohn∗ Nadia Heninger? Microsoft Research New England, One Memorial Drive, Cambridge, MA 02142 Add to Reading List Source URL: conference.itcs.tsinghua.edu.cn Language: English - Date: 2010-12-15 03:49:23 Polynomials Coding theory Field theory Error detection and correction Finite field General number field sieve Irreducible polynomial Reed–Solomon error correction Algebraic integer Abstract algebra Algebra Mathematics
28	Sage Reference Manual: Standard Commutative Rings Release 6.7 The Sage Development Team Add to Reading List Source URL: doc.sagemath.org Language: English - Date: 2015-06-24 05:21:38 Ring theory Field theory Algebraic structures Algebraic number theory Commutative algebra Ring of integers Ring Sage Integer Abstract algebra Algebra Mathematics
29	PROBLEM-SOLVING MASTERCLASS WEEK 1 1. Sum the series ∞ X ∞ X Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-10-06 18:34:10 Integer Ring theory Mathematics Algebraic number theory Elementary number theory
30	Square Root Algorithms for the Number Field Sieve Emmanuel Thomé INRIA Nancy, Villers-lès-Nancy, France Abstract. We review several methods for the square root step of the Add to Reading List Source URL: www.loria.fr Language: English - Date: 2012-11-29 10:44:38 Integer factorization algorithms Polynomials Field theory Algebraic number theory General number field sieve Special number field sieve Algebraic number field Elliptic curve Prime number Abstract algebra Mathematics Algebra