Algebraic number field

Results: 855



#Item
311Group theory / Diophantine set / Number theory / Polynomial / Elliptic curve / Prime number / Algebraic number field / NP / Computability theory / Mathematics / Abstract algebra / Diophantine equations

Undecidability in number theory 1 Bjorn Poonen

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Source URL: www-math.mit.edu

Language: English - Date: 2008-07-06 19:05:59
312Field 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

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

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

Language: English - Date: 2003-09-11 11:03:29
313Modular arithmetic / Quadratic residue / Linear congruence theorem / Algebraic number field / Prime number / Coprime / Quadratic reciprocity / Wieferich prime / Abstract algebra / Mathematics / Number theory

ON A THEOREM OF AUBRY-THUE ALFRED BRAUER AND R. L. REYNOLDS 1. Introduction. In 1913 L. Aubry [1] proved the following theorem:

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Source URL: www.math.uga.edu

Language: English - Date: 2011-09-25 15:53:25
314Algebraic number theory / Galois group / Algebraic number field / Conductor / Finite field / Cubic field / Field / Kummer theory / Ramification group / Abstract algebra / Algebra / Field theory

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

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

Language: English - Date: 2003-09-11 11:03:48
315Analytic 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

AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-10-07 12:17:34
316Algebraic number theory / Modular arithmetic / Greatest common divisor / Quadratic reciprocity / Unique factorization domain / Algebraic number field / Euclidean algorithm / Mathematics / Abstract algebra / Number theory

EULER’S TRICK AND SECOND 2-DESCENTS ¨ ¨ OZT ¨ ¨ UN ¨

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

Language: English - Date: 2005-05-14 16:56:15
317Algebraic number theory / Field theory / Class field theory / Group theory / Golod–Shafarevich theorem / Hilbert class field / Algebraic number field / Ramification group / Field arithmetic / Abstract algebra / Algebra / Galois theory

Postscript Helmut Koch, Franz Lemmermeyer During the 30 years since the publication of the German original of this book, the theory of pro-p extensions was flourishing: new results were proved, new insights gained, and

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

Language: English - Date: 2003-09-11 14:17:16
318Analytic number theory / Number theory / Group theory / Elliptic curve / Modular forms / Finite fields / Birch and Swinnerton-Dyer conjecture / Algebraic number field / Complex multiplication / Abstract algebra / Mathematics / Mathematical analysis

CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle

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

Language: English - Date: 2003-09-11 11:03:29
319Algebraic geometry / Polynomials / Commutative algebra / Computer algebra / Invariant theory / Gröbner basis / Homogeneous polynomial / Monomial order / Algebraic number field / Abstract algebra / Algebra / Mathematics

Wolfram Mathematica® Tutorial Collection ADVANCED ALGEBRA For use with Wolfram Mathematica® 7.0 and later.

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Source URL: wolfram.com

Language: English - Date: 2010-09-10 15:07:08
320Field theory / Algebraic structures / Ideal class group / Ideals / Elliptic curve / Tate–Shafarevich group / Algebraic number field / Field / Discriminant of an algebraic number field / Abstract algebra / Algebra / Algebraic number theory

Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington

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Source URL: www.mat.uniroma2.it

Language: English - Date: 2010-09-17 08:27:56
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