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Algebraic number field
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#	Item
611	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
612	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
613	Periodica Mathematica Hungarica Vol[removed]–2), (2001), pp. 191–198 THE EXPECTED NUMBER OF RANDOM ELEMENTS TO GENERATE A FINITE ABELIAN GROUP Carl Pomerance (Murray Hill) Dedicated to Professor Andr´ Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Field theory Abelian group Niels Henrik Abel P-group Finite field Algebraic number field Index of a subgroup Solvable group Finite groups Abstract algebra Algebra Group theory
614	A COMPLEX ANALOGUE OF TODA’S THEOREM SAUGATA BASU Abstract. Toda [28] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P#P , namely the class of languages that can be decided Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-09-22 08:25:51 Applied mathematics Constructible universe Polynomial Time hierarchy theorem Algebraic geometry Real closed field Karp–Lipton theorem Constructible number Mathematics Structural complexity theory Abstract algebra
615	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
616	J. Eur. Math. Soc. 12, 529–553 c European Mathematical Society 2010 DOI[removed]JEMS/208 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:22 Field theory Algebraic topology Betti number Topological graph theory Polynomial Algebraic variety Field extension Field Puiseux series Abstract algebra Mathematics Algebra
617	On Kubota’s Dirichlet Series Ben Brubaker and Daniel Bump March 8, 2006 Kubota [19] showed how the theory of Eisenstein series on the higher metaplectic covers of SL2 (which he discovered) can be used to study the anal Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Symbol Dirichlet series Series Constructible universe Algebraic number field Operator theory Spectral theory of ordinary differential equations Linear temporal logic Mathematical analysis Abstract algebra Mathematics
618	Tobias Berger Title: An Eisenstein ideal for imaginary quadratic fields Abstract: For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein ideal in a Hecke algebra acting on cus Add to Reading List Source URL: math.bu.edu Language: English - Date: 2004-10-11 17:37:59 Analytic number theory Galois theory Field theory Heegner point Elliptic curve Modular form Galois module Quadratic field Class field theory Abstract algebra Algebra Algebraic number theory
619	Mathematics Subject Classification 2000 Mathematics Subject Classification[removed]MSC2000) This is a completely revised version of the MSC, prepared collaboratively in the editorial offices of MR and Zentralblatt MATH. It Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2001-01-09 08:35:42 Field theory Algebraic structures Fields of mathematics Lattice theory Number theory Representation theory Areas of mathematics Distributive lattice Modular form Abstract algebra Mathematics Algebra
620	CHAPTER VI THE HIGHER K-THEORY OF FIELDS The problem of computing the higher K-groups of fields has a rich history, beginning with Quillen’s calculation for finite fields (IV.1.13), and Borel’s calculation of K∗ ( Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-18 17:11:54 Algebraic number theory Galois theory Homological algebra Module theory Abelian group Algebraic number field Finite field Torsion Divisible group Abstract algebra Algebra Field theory

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