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141	MATHEMATICAL METHODS REAL AND COMPLEX MATRICES QUATRADTIC FORMS I YEAR B.Tech Add to Reading List Source URL: sakshieducation.com Language: English - Date: 2012-05-30 09:36:02 Matrices Symmetric matrix Matrix Skew-Hermitian matrix Orthogonal matrix Normal matrix Quadratic form Singular value decomposition Eigenvalues and eigenvectors Algebra Linear algebra Mathematics
142	GAUSS BOUNDS OF QUADRATIC EXTENSIONS FRANZ LEMMERMEYER Abstract. We give a simple proof of results of Lubelski and Lakein on Gauss bounds for quadratic extensions of imaginary quadratic Euclidean number fields. Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:12 Algebraic number theory Quadratic forms Field theory Ring theory Ideal class group Ideals Euclidean algorithm Algebraic number field Quadratic field Abstract algebra Algebra Mathematics
143	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:20 Class field theory Quadratic forms Field theory Conductor Class number formula Field extension Algebraic number field Tensor product of fields Signature Abstract algebra Algebra Algebraic number theory
144	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
145	LOWER BOUNDS FOR ESSENTIAL DIMENSIONS IN CHARACTERISTIC 2 VIA ORTHOGONAL REPRESENTATIONS A. BABIC AND V. CHERNOUSOV Abstract. We give a lower bound for the essential dimension of a split simple algebraic group of “adjo Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-20 18:07:56 Mathematics Orthogonal group Essential dimension Representation theory Field extension Clifford algebra Approximately finite dimensional C*-algebra Algebra Abstract algebra Quadratic forms
146	EUCLIDEAN QUADRATIC FORMS AND ADC-FORMS: I PETE L. CLARK We denote by N the non-negative integers (including 0). Throughout R will denote a commutative, unital integral domain and K its fraction ﬁeld. We write R• for Add to Reading List Source URL: math.uga.edu Language: English - Date: 2012-08-06 06:09:32 Ring theory Commutative algebra Algebraic number theory Linear algebra Quadratic forms Euclidean domain Euclidean algorithm Dedekind domain Norm Abstract algebra Algebra Mathematics
147	The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-02-20 12:09:35 Quadratic forms Algebraic curves Field theory Polynomials Algebraic number theory Hyperelliptic curve Elliptic curve Algebraic number field Discriminant Abstract algebra Algebra Mathematics
148	LOWER BOUNDS FOR THE PRINCIPAL GENUS OF DEFINITE BINARY QUADRATIC FORMS arXiv:0811.0358v2 [math.NT] 25 Oct[removed]KIMBERLY HOPKINS AND JEFFREY STOPPLE Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-02-23 21:39:50 Arithmetic functions Integer sequences Prime number theorem Chebyshev function Big O notation Exponentiation Prime number Riemann hypothesis Prime gap Mathematics Mathematical analysis Number theory
149	EUCLIDEAN QUADRATIC FORMS AND ADC-EXTENSIONS PETE L. CLARK Abstract. A classical result, often called the Davenport-Cassels Theorem, gives a sufficient condition for an integral quadratic form to integrally represent eve Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2010-09-06 04:13:12 Linear algebra Quadratic forms Ring theory Algebraic number theory Real algebraic geometry Euclidean domain Quadratic polynomial Algebraic number field Quadratic equation Algebra Abstract algebra Mathematics
150	SOME AMUSING PROBLEMS RELATED TO ALGEBRAIC GEOMETRY RAVI VAKIL Here are some problems to pique your interest; we will solve (or mostly solve) them during the semester. Some are deep, and others are just fun. You won’t Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2000-01-31 15:18:27 Algebraic number theory Polynomials Quadratic forms Number theory Analytic number theory Elliptic curve Discriminant Algebraic geometry Weil conjectures Abstract algebra Mathematics Algebra

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