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Algebraic number field
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#	Item
521	TRANSCENDENCE OF VALUES AT ALGEBRAIC POINTS FOR CERTAIN HIGHER ORDER HYPERGEOMETRIC FUNCTIONS (UPDATED) PIERRE-ANTOINE DESROUSSEAUX, MARVIN D. TRETKOFF, Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2007-10-16 14:21:27 Ordinary differential equations Spectral theory Representation theory of Lie groups Group theory Hypergeometric function Abelian variety Algebraic variety Algebraic number field Eigenvalues and eigenvectors Algebra Abstract algebra Mathematics
522	Quadratics, continued fractions and divided cells R. T. Bumby & M. E. Flahive with contributions by J. L. Lagrange, K. F. Gauss, : : : January 7, 2007 Quadratics Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2009-01-12 18:02:29 Algebraic number theory Field theory Ring theory Ideals Algebraic number field Quadratic form Ring Field Abstract algebra Algebra Algebraic structures
523	C. Khare and D. Prasad Nagoya Math. J. Vol[removed]), 1–15 ON THE STEINITZ MODULE AND CAPITULATION OF IDEALS Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 20:45:17 Hilbert class field Algebraic number field Ideal class group Dedekind domain Class field theory Principal ideal Vector bundle Projective module Ideal Abstract algebra Algebra Algebraic number theory
524	Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010 Selmer Groups and Congruences Ralph Greenberg∗ Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2010-07-15 23:20:21 Number theory Galois theory Algebraic number theory Group theory Elliptic curve Algebraic number field Galois module Selmer group Iwasawa theory Abstract algebra Algebra Field theory
525	ANNIHILATING THE TATE-SHAFAREVIC GROUPS OF TATE MOTIVES by JAMES P. BARRETT Add to Reading List Source URL: bazzalisk.org Language: English - Date: 2009-09-20 07:10:30 Algebraic geometry Algebraic number theory Homological algebra Conjectures Algebraic number field Iwasawa theory Motive Algebraic K-theory Special values of L-functions Abstract algebra Algebra Field theory
526	PDF Document Add to Reading List Source URL: www.math.armstrong.edu Language: English - Date: 2006-09-08 08:14:12 Metaplectic group Induced representation Algebraic number field Natural transformation Oscillator semigroup Abstract algebra Fourier analysis Symbol
527	arXiv:1312.5160v1 [math.NT] 18 Dec 2013 Add to Reading List Source URL: www.math.unm.edu Language: English - Date: 2014-01-10 15:57:17 Algebraic geometry P-adic number Valuation Motive Differential equation Complex number Ring of periods Differential form Field Abstract algebra Algebra Field theory
528	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-11-21 08:07:51 Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
529	SERRE’S MODULARITY CONJECTURE (I) CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER to Jean-Pierre Serre Abstract. This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-10-20 11:47:03 Field theory Galois theory Representation theory Class field theory Galois module Algebraic number field Finite field Group representation Prime number Abstract algebra Algebra Algebraic number theory
530	Modular Methods in CoCoA What are modular methods? When you have to do a quick calculation on the back of an envelope, you might calculate the sum or product of two (small) polynomials, and you would most likely use a di Add to Reading List Source URL: cocoa.dima.unige.it Language: English - Date: 2005-05-26 03:13:51 Polynomials Computer algebra Finite fields Euclidean algorithm Factorization of polynomials Integer factorization algorithms Greatest common divisor Prime number Algebraic number field Mathematics Abstract algebra Algebra

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