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Algebraic numbers
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171	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL 1. Brief Description Toda proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the cl Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:58 Field theory Algebraic geometry Polynomial Field extension Field Computational complexity theory Betti number Finite field Number Abstract algebra Mathematics Algebra
172	Computing the First Few Betti Numbers of Semi-algebraic Sets in Single Exponential Time Saugata Basu 1 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:07 Group theory Algebraic topology Mathematical structures Algebraic geometry Betti number Spectral sequence Singular homology Field Structure Algebra Abstract algebra Mathematics
173	On pseudosquares and pseudopowers Carl Pomerance Department of Mathematics Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-17 11:52:03 Analytic number theory Conjectures Prime numbers Prime number theorem Prime-counting function Riemann hypothesis Quadratic residue Exponentiation Algebraic number field Mathematics Abstract algebra Number theory
174	Cyclotomic Matrices over Quadratic Integer Rings Gary Greaves Thesis submitted to the University of London for the degree of Doctor of Philosophy Add to Reading List Source URL: www.ims.is.tohoku.ac.jp Language: English - Date: 2013-02-26 23:55:29 Polynomials Algebraic number theory Algebraic numbers Number theory Root of unity Cyclotomic polynomial Cyclotomic field Mahler measure Algebraic integer Abstract algebra Mathematics Numbers
175	Index Cofactor of a matrix, 62 Comaximal ideals, 108, 120 Commutative ring, 37 Complex numbers, 1, 40, 46, 47, 97, 104 Conjugate, 64 Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:57 Algebraic structures Commutative algebra Module theory Homological algebra Ring Module Commutative ring Polynomial ring Ideal Abstract algebra Algebra Ring theory
176	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
177	THE WADSWORTH MATHEMATICS SERIES S e r b Editors Raoul H.Bott, Harvard University David Eisenbud, Brandeis University Hugh L. Montgomery, University of Michigan Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:48:16 Field theory Transcendental numbers Modular arithmetic Number theory Algebraic integer Rational number Algebraic number Irrational number Algebraic number field Abstract algebra Mathematics Algebra
178	Asia Pacific Mathematics Newsletter 1 What p-Adic Numbers? Add to Reading List Source URL: www.asiapacific-mathnews.com Language: English - Date: 2013-11-06 04:17:01 Field theory Algebraic number theory Number theory P-adic number P-adic quantum mechanics P-adic analysis Arithmetic dynamics P-adic distribution P-adic exponential function Abstract algebra Mathematics Algebra
179	ON THE TOPOLOGY OF SUMS IN POWERS OF AN ALGEBRAIC NUMBER NIKITA SIDOROV AND BORIS SOLOMYAK Abstract. Let 1 < q < 2 and ( n ) Add to Reading List Source URL: pi.314159.ru Language: English - Date: 2010-05-12 13:30:36 Conjugate element Diophantine approximation Inverse Galois problem Liouville number Field theory Mathematics Transcendental numbers
180	RESEARCH Algebra in the Revision Susan Jo Russell, Deborah Schifter, and Virginia Bastable A major emphasis of the revision is to make the foundations of algebra currently in the curriculum more visible to teachers and Add to Reading List Source URL: investigations.terc.edu Language: English - Date: 2013-04-22 12:07:47 Education reform Algebra Elementary arithmetic Algebraic structures National Council of Teachers of Mathematics Investigations in Numbers Data and Space Addition Arithmetic Emmy Noether Mathematics education Mathematics Education