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Algebraic number
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#	Item
701	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. Dramatis Personae: Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-18 04:50:24 Conic sections Curves Number theory Analytic geometry Analytic number theory Elliptic curve Birch and Swinnerton-Dyer conjecture Néron–Tate height Parabola Geometry Abstract algebra Algebraic geometry
702	GALOIS ACTION ON CLASS GROUPS FRANZ LEMMERMEYER Abstract. It is well known that the Galois group of an extension L/F puts constraints on the structure of the relative ideal class group Cl(L/F ). Explicit results, however Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Field theory Galois theory Class field theory Group theory Galois group Field extension Representation theory of finite groups Conductor Galois module Abstract algebra Algebra Algebraic number theory
703	ON A THEOREM OF AUBRY-THUE ALFRED BRAUER AND R. L. REYNOLDS 1. Introduction. In 1913 L. Aubry [1] proved the following theorem: Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2011-09-25 15:53:25 Modular arithmetic Quadratic residue Linear congruence theorem Algebraic number field Prime number Coprime Quadratic reciprocity Wieferich prime Abstract algebra Mathematics Number theory
704	31 Documenta Math. Effective Freeness of Adjoint Line Bundles Gordon Heier Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2002-05-18 06:29:11 Vector bundles Ample line bundle Canonical bundle Divisor Analytic number theory Conjectures Abstract algebra Algebraic geometry Geometry
705	MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 1, January–March 2003, Pages 85–95 MOTIVIC MEASURES AND STABLE BIRATIONAL GEOMETRY MICHAEL LARSEN AND VALERY A. LUNTS Add to Reading List Source URL: www.ams.org Language: English - Date: 2003-05-20 08:05:40 Mathematics Algebraic variety Representation theory Universal property Sheaf Rational mapping Resolution of singularities Grothendieck group Approximately finite dimensional C*-algebra Abstract algebra Algebraic geometry Geometry
706	The class number one problem for some non-abelian normal CM-fields of degree 24 Franz Lemmermeyer Bilkent University, Dept. Mathematics[removed]Bilkent, Ankara, Turkey Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:48 Algebraic number theory Galois group Algebraic number field Conductor Finite field Cubic field Field Kummer theory Ramification group Abstract algebra Algebra Field theory
707	SMALL NORMS IN QUADRATIC FIELDS FRANZ LEMMERMEYER 1. Introduction The computation of units in algebraic number fields usually is a rather hard task. Therefore, families of number fields with an explicitly given system of Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:01 Spectral theory of ordinary differential equations Operator theory Differential geometry Euclidean algorithm
708	AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-10-07 12:17:34 Analytic number theory Number theory Symbol Modular form Artin reciprocity law Elliptic curve Algebraic number field Birch and Swinnerton-Dyer conjecture Gelfand pair Abstract algebra Mathematics Mathematical analysis
709	RATIONAL QUARTIC RECIPROCITY FRANZ LEMMERMEYER Abstract. We provide a simple proof of the general rational quartic reciprocity law due to Williams, Hardy and Friesen. In 1985, K. S. Williams, K. Hardy and C. Friesen [11 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:07 Modular arithmetic Algebraic number theory Quadratic residue Quartic reciprocity Reciprocity law Quadratic reciprocity Legendre symbol Prime number Reciprocity Abstract algebra Number theory Mathematics
710	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

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