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Ring of integers
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#	Item
31	Bianchi Orbifolds of Small Discriminant A. Hatcher √ Let OD be the ring of integers in the imaginary quadratic field Q( D) of discriminant D < 0 . Then P GL2 (OD ) is a discrete subgroup of the isometry group P SL2 (C) Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1999-06-11 14:52:46 Differential topology Orbifold SL2 Torsion tensor Field Torus Abstract algebra Differential geometry Geometry
32	MP473 EXAM, Semester 2, 1994 (In what follows, OK denotes the ring of integers in an algebraic number field K. Also if θ ∈ K, mθ (x) denotes the minimum polynomial of θ.) 1. Define the terms integral basis of K, DK Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:19:38 Ideals Field theory Connection Differential geometry Discriminant of an algebraic number field Abstract algebra Algebraic number theory Ideal class group
33	p-adic aspects of Jacobi forms Adriana Sofer Department of Mathematics Princeton University [removed] Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2006-08-24 12:52:05 Field theory Number theory Symbol Valuation Modular form P-adic number Ring of integers Orbifold Genus of a multiplicative sequence Abstract algebra Mathematics Algebra
34	MP473 EXAM, Semester 2, 1996 Attempt all questions 1. (In what follows, OK denotes the ring of integers in an algebraic number field K, [K : Q] = n and θ ∈ K. (a) Define the terms (i) mθ (x), (ii) integral basis of K Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:23:34 Field theory Algebraic structures Ring theory Algebraic number field Symbol Ring of integers Ideal class group Prime ideal Field Abstract algebra Algebra Algebraic number theory
35	Computations on diagonal quartic surfaces Martin James Bright Clare College Summary We are concerned with the solubility in integers of the equation Add to Reading List Source URL: www.boojum.org.uk Language: English - Date: 2002-09-25 15:22:11 Galois theory Ring theory Hasse principle Localization Brauer group Manin obstruction Absolute Galois group Galois cohomology Abstract algebra Algebra Algebraic number theory
36	ALGEBRAIC NUMBER THEORY J.S. MILNE Abstract. These are the notes for a course taught at the University of Michigan in F92 as Math 676. They are available at www.math.lsa.umich.edu/∼jmilne/. Please send comments and cor Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:46:26 Algebraic number theory Commutative algebra Field theory Number theory Algebraic number field Ideal class group Ring of integers Unique factorization domain Integral domain Abstract algebra Algebra Ring theory
37	U OF I MOCK PUTNAM EXAM SEPT. 29, [removed]Suppose P (x) is a polynomial with integer coefficients such that none of the values P (1), . . . , P[removed]is divisible by[removed]Prove that P (n) 6= 0 for all integers n. 2. Fi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2009-09-30 19:05:13 Algebraic number theory Integer sequences Elementary number theory Integer Ring theory Number Square-free integer Binomial coefficient Mathematics Abstract algebra Number theory
38	p-ADIC HEIGHTS OF HEEGNER POINTS AND ANTICYCLOTOMIC Λ-ADIC REGULATORS JENNIFER S. BALAKRISHNAN, MIRELA C ¸ IPERIANI, AND WILLIAM STEIN Abstract. Let E be an elliptic curve defined over Q. The aim of this paper is to m Add to Reading List Source URL: wstein.org Language: English - Date: 2012-10-11 13:19:08 Algebraic number theory Field theory Number theory Modular forms Symbol P-adic number Quadratic form Ring of integers Algebraic number field Abstract algebra Algebra Mathematics
39	On the distribution in residue classes of integers with a fixed sum of digits by Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-01 15:29:47 Elementary number theory Parity Singly and doubly even Commutative algebra Localization Radon–Nikodym theorem Valuation ring Abstract algebra Mathematics Algebra