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Quadratic reciprocity
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61	USA Mathematical Talent Search Round 1 Solutions Year 25 — Academic Year 2013–2014 www.usamts.org[removed]Alex is trying to open a lock whose code is a sequence that is three letters long, with Add to Reading List Source URL: usamts.org Language: English - Date: 2013-10-18 17:16:02 Modular arithmetic Algebraic number theory Finite fields Quadratic residue Modulo operation Ring XTR Quartic reciprocity Abstract algebra Mathematics Number theory
62	EXPLICIT COMPUTATION OF GROSS-STARK UNITS OVER REAL QUADRATIC FIELDS BRETT A. TANGEDAL AND PAUL T. YOUNG Dedicated to the memory of David R. Hayes Abstract. We present an effective and practical algorithm for computing G Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2012-11-29 19:03:18 Algebraic number theory Conjectures Number theory Brumer–Stark conjecture Algebraic number field Bernoulli number P-adic number Artin reciprocity law Valuation Abstract algebra Mathematics Field theory
63	Typographical Errors in the Second Edition of Primes of the Form x2 + ny 2 May 27, 2014 Add to Reading List Source URL: www.cs.amherst.edu Language: English - Date: 2014-05-27 14:07:22 Modular arithmetic Quadratic reciprocity Quadratic residue Number theory Mathematics Algebraic number theory
64	A Primer on Algebra and Number Theory for Computer Scientists (version 0.1) Victor Shoup1 Add to Reading List Source URL: cs.nyu.edu Language: English - Date: 2002-09-06 12:51:39 Modular arithmetic Algebraic number theory Quadratic residue Ring theory Greatest common divisor Coprime Quadratic reciprocity Ring Prime number Mathematics Abstract algebra Number theory
65	Generalised Weber Functions Fran¸cois Morain INRIA Saclay–ˆIle-de-France Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-04-17 10:24:36 Modular arithmetic Quadratic forms Algebraic number theory Quadratic residue Analytic number theory Modular form Symbol Discriminant of an algebraic number field Quadratic reciprocity Mathematics Abstract algebra Algebra
66	CONGRUENCES FOR MODULAR FORMS OF NON-POSITIVE WEIGHT YAIM COOPER, NICHOLAS WAGE, AND IRENA WANG Add to Reading List Source URL: www.math.wisc.edu Language: English - Date: 2006-10-30 13:06:17 Analytic number theory Modular forms Moduli theory Modular arithmetic Elliptic curve Eisenstein series Mock modular form Quadratic reciprocity Abstract algebra Mathematical analysis Mathematics
67	arXiv:1308.2900v5 [math.NT] 22 Aug 2013 Add to Reading List Source URL: math.nju.edu.cn Language: English - Date: 2013-08-22 20:27:13 Modular arithmetic Quadratic residue Legendre symbol Quadratic Gauss sum Lucas–Lehmer primality test Quartic reciprocity Abstract algebra Number theory Mathematics
68	Cubic and Quartic Characters Steven Finch June 5, 2009 In this essay, we revisit Dirichlet characters [1], but focusing here on non-real cases (that is, of order exceeding 2). Let Z∗n denote the group (under multiplica Add to Reading List Source URL: www.people.fas.harvard.edu Language: English - Date: 2014-03-16 13:10:34 Modular arithmetic Algebraic number theory Dirichlet character Symbol Gaussian integer Cubic reciprocity Arithmetic function Quadratic reciprocity Abstract algebra Number theory Mathematics
69	POWER RESIDUES OF FOURIER COEFFICIENTS OF MODULAR FORMS TOM WESTON Add to Reading List Source URL: www.math.umass.edu Language: English - Date: 2005-08-17 14:29:43 Field theory Analytic number theory Galois theory Number theory Frobenius endomorphism Quadratic reciprocity Splitting of prime ideals in Galois extensions Algebraic number field Elliptic curve Abstract algebra Mathematics Algebraic number theory

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