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Algebraic number theory
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641	1. The Theory of Galois Extensions 1.1 The Galois Group In the first two sections we will develop the algebraic foundations of the theory. The fields we are treating are not necessarily algebraic number fields of finite Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:24:33 Galois theory Group theory Algebraic number theory Fundamental theorem of Galois theory Galois group Galois extension Automorphism Quotient group Field Abstract algebra Algebra Field theory
642	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 2, March 1982 PROBLEMS ON ABELIAN FUNCTIONS AT THE TIME OF POINCARÉ AND SOME AT PRESENT1 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:42:58 Algebraic curves Riemann surfaces Analytic number theory Abelian varieties Algebraic structures Modular form Divisor Schottky problem Abelian integral Abstract algebra Algebraic geometry Mathematical analysis
643	Lecture 1: Historical Perspective and Overview What is it that comes to our mind when we hear the tile of the course: Algorithms for Solving of Polynomial Equations? The algorithmic part is clear to most of us, I suppos Add to Reading List Source URL: www.imsc.res.in Language: English - Date: 2012-01-17 00:20:26 Polynomials Equations Algebraic geometry Elementary algebra System of polynomial equations Real algebraic geometry Number theory Algebraic number Cubic function Mathematics Abstract algebra Algebra
644	Universit¨ at Regensburg Mathematik Equivariant Iwasawa theory and non-abelian Starck-type conjectures Add to Reading List Source URL: epub.uni-regensburg.de Language: English - Date: 2011-12-14 01:51:11 Conjectures Spectral theory Algebraic number theory Brumer–Stark conjecture Iwasawa theory Special values of L-functions Abstract algebra Algebra Field theory
645	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
646	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
647	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
648	´ DUALITY IN P.A. SMITH THEORY POINCARE CHRISTOPHER ALLDAY, BERNHARD HANKE, AND VOLKER PUPPE Abstract. Let G = S 1 , G = Z/p or more generally G be a finite pgroup, where p is an odd prime. If G acts on a space whose co Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:02:12 Algebraic topology Betti number Topological graph theory Lefschetz fixed-point theorem Duality Inner product space Representation theory of finite groups Heat equation Mathematics Abstract algebra Algebra
649	Invent. math. 148, 47–[removed]Digital Object Identifier (DOI[removed]s002220100186 Thue equations and the method of Chabauty-Coleman Dino Lorenzini, Thomas J. Tucker Department of Mathematics, University of Georgia, Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2014-09-01 16:50:03 Algebraic number field Algebraic number theory Field theory Spectral theory Operator theory Spectral theory of ordinary differential equations Clifford algebra Mathematics Algebra Abstract algebra
650	WITT EQUIVALENCE OF FUNCTION FIELDS OVER GLOBAL FIELDS PAWEL GLADKI AND MURRAY MARSHALL Abstract. Witt equivalent ﬁelds can be understood to be ﬁelds having the same symmetric bilinear form theory. Witt equivalence o Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2015-02-03 10:52:41 Valuation Field extension Quadratic form Algebraic number field Clifford algebra Approximately finite dimensional C*-algebra Abstract algebra Algebra Field theory

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