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Quadratic reciprocity
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31	THE 4-CLASS GROUP OF REAL QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. S Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:59 Mathematics Quadratic field Discriminant Quaternion algebra Splitting of prime ideals in Galois extensions Algebraic number field Quadratic reciprocity Ideal class group Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
32	A Note on P´epin’s counter examples to the Hasse principle for curves of genus 1 Franz Lemmermeyer Bilkent University[removed]Bilkent, Ankara September 11, 2003 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:04 Algebraic number theory Modular arithmetic Field theory Analytic number theory Elliptic curve Quadratic reciprocity Infinite descent Algebraic number field P-adic number Mathematics Abstract algebra Number theory
33	ON 2-CLASS FIELD TOWERS OF SOME IMAGINARY QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2, 2, 2) whose Hilbert 2-cla Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:05 Class field theory Field theory Artin reciprocity law Hilbert class field Class number formula Field extension Conductor Algebraic number field Normal extension Abstract algebra Algebra Algebraic number theory
34	On the sum of two divisors of (n2 + 1)/2 Andrej Dujella and Florian Luca 1 Introduction Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2010-11-10 12:17:08 Modular arithmetic Quadratic residue Prime number Quadratic reciprocity Number theory Mathematics Abstract algebra
35	Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-11-03 09:49:23 Modular arithmetic Algebraic number theory Quadratic residue Integer factorization algorithms Lenstra elliptic curve factorization Quadratic reciprocity Abstract algebra Mathematics Number theory
36	arXiv:1106.5530v2 [math.GR] 30 Jun[removed]Non-PORC behaviour of a class of descendant p-groups. Marcus du Sautoy and Michael Vaughan-Lee∗ Mathematical Institute Add to Reading List Source URL: arxiv.org Language: English - Date: 2011-06-30 21:50:47 Modular arithmetic Quadratic residue Algebraic number theory Quadratic reciprocity Prime number Euler product Coprime COMPASS/Sample Code Maths24 Mathematics Number theory Abstract algebra
37	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: www.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
38	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
39	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
40	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

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