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Algebraic number theory
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621	EULER’S TRICK AND SECOND 2-DESCENTS ¨ ¨ OZT ¨ ¨ UN ¨ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-14 16:56:15 Algebraic number theory Modular arithmetic Greatest common divisor Quadratic reciprocity Unique factorization domain Algebraic number field Euclidean algorithm Mathematics Abstract algebra Number theory
622	THE EUCLIDEAN ALGORITHM IN ALGEBRAIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. This article, which is an update of a version published 1995 in Expo. Math., intends to survey what is known about Euclidean number fields; Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-13 18:30:23 Ring theory Commutative algebra Euclidean algorithm Linear algebra Greatest common divisor Norm Principal ideal domain Euclidean domain Abstract algebra Algebra Mathematics
623	Postscript Helmut Koch, Franz Lemmermeyer During the 30 years since the publication of the German original of this book, the theory of pro-p extensions was flourishing: new results were proved, new insights gained, and Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 14:17:16 Algebraic number theory Field theory Class field theory Group theory Golod–Shafarevich theorem Hilbert class field Algebraic number field Ramification group Field arithmetic Abstract algebra Algebra Galois theory
624	MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 205–247 HODGE STRUCTURE ON THE FUNDAMENTAL GROUP AND ITS APPLICATION TO p-ADIC INTEGRATION VADIM VOLOGODSKY Add to Reading List Source URL: www.ams.org Language: English - Date: 2003-05-20 08:05:40 Homological algebra Topos theory Differential topology Vector bundle Vectors Étale morphism Spectrum of a ring Grothendieck topology Hodge structure Abstract algebra Algebra Algebraic topology
625	CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic number theory Number theory Group theory Elliptic curve Modular forms Finite fields Birch and Swinnerton-Dyer conjecture Algebraic number field Complex multiplication Abstract algebra Mathematics Mathematical analysis
626	Wolfram Mathematica® Tutorial Collection ADVANCED ALGEBRA For use with Wolfram Mathematica® 7.0 and later. Add to Reading List Source URL: wolfram.com Language: English - Date: 2010-09-10 15:07:08 Algebraic geometry Polynomials Commutative algebra Computer algebra Invariant theory Gröbner basis Homogeneous polynomial Monomial order Algebraic number field Abstract algebra Algebra Mathematics
627	Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2010-09-17 08:27:56 Field theory Algebraic structures Ideal class group Ideals Elliptic curve Tate–Shafarevich group Algebraic number field Field Discriminant of an algebraic number field Abstract algebra Algebra Algebraic number theory
628	ACTA ARITHMETICA LXVII[removed]Sums of distinct squares by Add to Reading List Source URL: matwbn.icm.edu.pl Language: English - Date: 2007-05-15 00:06:50 Integer sequences Algebraic number theory Prime number XTR Transcendental numbers Modular arithmetic Liouville number Binomial coefficient Mathematics Abstract algebra Number theory
629	Number Theory: A Contemporary Introduction Pete L. Clark Contents Chapter 1. The Fundamental Theorem and Some Applications 1. Foundations Add to Reading List Source URL: math.uga.edu Language: English - Date: 2014-09-04 01:56:58 Algebraic number theory Ring theory Integer sequences Modular arithmetic Prime number Multiplicative function Quadratic reciprocity Coprime Integral domain Abstract algebra Mathematics Number theory
630	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-17 18:14:51 Conic sections Number theory Algebraic curves Analytic number theory Curves Elliptic curve Birch and Swinnerton-Dyer conjecture Degenerate conic Modular form Geometry Algebraic geometry Abstract algebra

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