Algebraic number field

Results: 855



#Item
331Class 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

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

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:05
332Algebraic number field / Algebraic number theory / Field theory / Spectral theory / Operator theory / Spectral theory of ordinary differential equations / Clifford algebra / Mathematics / Algebra / Abstract algebra

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,

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Source URL: www.math.rochester.edu

Language: English - Date: 2014-09-01 16:50:03
333Valuation / Field extension / Quadratic form / Algebraic number field / Clifford algebra / Approximately finite dimensional C*-algebra / Abstract algebra / Algebra / Field theory

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

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Source URL: www.math.uni-bielefeld.de

Language: English - Date: 2015-02-03 10:52:41
334Group theory / Class field theory / Galois module / Galois theory / Group homomorphism / Representation theory / Étale morphism / Essential dimension / Gelfand pair / Abstract algebra / Algebra / Algebraic number theory

UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS A. MERKURJEV Abstract. We prove that if G is a reductive group over an algebraically closed field F , then for a prime integer p 6= char(F ), the group of unramified

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Source URL: www.math.uni-bielefeld.de

Language: English - Date: 2014-11-24 17:55:06
335Algebraic number theory / Polynomials / Algebraic geometry / Valuation / Separable extension / Newton polygon / Field extension / Casus irreducibilis / Ramification / Abstract algebra / Algebra / Field theory

(February 19, [removed]Newton polygons Paul Garrett [removed] http://www.math.umn.edu/˜garrett/

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Source URL: www.math.umn.edu

Language: English - Date: 2005-02-19 15:53:15
336Algebraic number theory / Cohomology theories / Field theory / Algebraic geometry / Étale cohomology / P-adic number / Motive / Hodge structure / Algebraic number field / Abstract algebra / Algebra / Homological algebra

Rigid Syntomic Regulators and the p-adic L-function of a modular form DISSERTATION ZUR ERLANGUNG DES DOKTORGRADES DER NATURWISSENSCHAFTEN (DR. RER. NAT.) ¨ FUR

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Source URL: epub.uni-regensburg.de

Language: English - Date: 2011-07-20 22:07:48
337Quadratic forms / Algebraic curves / Field theory / Polynomials / Algebraic number theory / Hyperelliptic curve / Elliptic curve / Algebraic number field / Discriminant / Abstract algebra / Algebra / Mathematics

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

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-02-20 12:09:35
338Transcendental numbers / Numbers / Algebraic number theory / Tensor product of fields / Diophantine approximation / Constructible universe / Algebraic number field / Ordinal arithmetic / Gelfond–Schneider theorem / Mathematics / Field theory / Number theory

Publ. Mat[removed]), 413–448 DOI: [removed]PUBLMAT[removed]A DEGREE PROBLEM FOR TWO ALGEBRAIC NUMBERS AND THEIR SUM ¯ ras Dubickas, and Chris Smyth

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Source URL: ddd.uab.cat

Language: English - Date: 2012-06-14 14:05:45
339Algebras / Ring theory / Quaternion algebra / Algebra over a field / Brauer group / Ideal norm / Abstract algebra / Algebra / Algebraic number theory

Index k-algebra center of a, 4 central, 8 definition, 3

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Source URL: www.ams.org

Language: English - Date: 2013-05-30 09:14:56
340Linear algebra / Quadratic forms / Ring theory / Algebraic number theory / Real algebraic geometry / Euclidean domain / Quadratic polynomial / Algebraic number field / Quadratic equation / Algebra / Abstract algebra / Mathematics

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

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Source URL: www.math.uga.edu

Language: English - Date: 2010-09-06 04:13:12
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