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911	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS II FRANZ LEMMERMEYER Abstract. We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:22 Hilbert class field Cubic field Tensor product of fields Galois module Kummer theory Conductor Field extension Ideal class group Quadratic field Abstract algebra Algebra Algebraic number theory
912	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
913	An Interpretation of some congruences concerning Ramanujan’s τ -function Jean-Pierre Serre September 11, [removed] Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:00 Modular arithmetic Algebraic number theory Quadratic residue Finite fields Galois theory Frobenius endomorphism Prime number Elliptic curve Abstract algebra Mathematics Number theory
914	Adopted June 2010 Page 1 of 6 High School Algebra Common Core Standards Add to Reading List Source URL: ahs-pajaro-ca.schoolloop.com Language: English Algebra Polynomials Quadratic equation Equation Quadratic Simultaneous equations Linear equation System of linear equations Equation solving Equations Mathematics Elementary algebra
915	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
916	SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:20:19 Algebraic number theory Modular arithmetic Quadratic residue Class field theory Quadratic reciprocity Reciprocity law Selmer group Algebraic number field Artin reciprocity law Abstract algebra Mathematics Number theory
917	Microsoft Word - Math 021 UCS_1 Add to Reading List Source URL: www.wvup.edu Language: English - Date: 2013-07-26 17:18:59 Elementary algebra Polynomial Simultaneous equations System of linear equations Quadratic equation Equation Differential equation Linear equation System of polynomial equations Mathematics Equations Algebra
918	E:/latexFiles/envInfo_revised/envInfo_revised.dvi Add to Reading List Source URL: www.disneyresearch.com Language: English - Date: 2015-01-21 01:17:40 Systems science Linear-quadratic-Gaussian control Humanoid robot Robotics Feedback State observer Controller Optimal control H-infinity methods in control theory Control theory Systems theory Cybernetics
919	Microsoft Word - twa_41_10.doc Add to Reading List Source URL: www.upov.int Language: English - Date: 2012-04-24 10:44:41 The Weather Channel The Fight Network Spline Quadratic
920	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

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