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Ideal class group
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41	MP473 Examination, November 1998 Time: 3 hours Answer all questions 1. (a) Explain what is meant by the statements: (i) θ is an algebraic integer, (ii) K is an algebraic number field of degree n, (iii) ω1 , . . . , ωn Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-30 20:35:30 Ordinal number Constructible universe Ideal class group Connection Fiber bundles Abstract algebra Algebraic number theory Mathematics
42	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
43	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
44	A Brief Introduction to Classical and Adelic Algebraic Number Theory William Stein (based heavily on works of Swinnerton-Dyer and Cassels) May 2004 Add to Reading List Source URL: boxen.math.washington.edu Language: English - Date: 2004-05-06 12:46:02 Field theory Algebraic number field Adele ring Galois module Field Ideal class group Prime number Class field theory Ramification Abstract algebra Algebra Algebraic number theory
45	THE DIRICHLET CLASS NUMBER FORMULA FOR IMAGINARY QUADRATIC FIELDS The factorizations 6 = 2 · 3 = (1 + Add to Reading List Source URL: people.reed.edu Language: English - Date: 2014-04-10 09:31:43 Algebraic number theory Ideal class group Quadratic integer Algebraic number field Quadratic reciprocity Quadratic field Quadratic form Gaussian integer Ideal norm Abstract algebra Algebra Mathematics
46	A Study of Kummer’s Proof of Fermat’s Last Theorem for Regular Primes MANJIL P. SAIKIA1 MATS137 Summer Project under Prof. Kapil Hari Paranjape. Abstract. We study Kummer’s approach towards proving the Fermat’s l Add to Reading List Source URL: www.manjilsaikia.in Language: English - Date: 2013-04-01 06:22:17 Algebraic number theory Algebraic number field Ideal class group Root of unity Frobenius endomorphism Cyclotomic field Dirichlet L-function Bernoulli number Prime number Abstract algebra Mathematics Algebra
47	Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2004-10-19 06:36:06 Algebraic number theory Analytic number theory Elliptic curve Quadratic form Algebraic number field Transcendental number Algebraic integer Ideal class group Prime number Abstract algebra Mathematics Algebra
48	ARIZONA WINTER SCHOOL 2014 COURSE OUTLINE AND PROJECT DESCRIPTION: ASYMPTOTICS FOR NUMBER FIELDS AND CLASS GROUPS MELANIE MATCHETT WOOD ASSISTED BY: ROB HARRON Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-13 03:01:36 Algebraic number theory Manjul Bhargava Class field theory Kummer theory Ideal class group Galois group Algebraic number field Cubic field Field extension Abstract algebra Algebra Field theory
49	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
50	DMVSaminar Band21 Computational Algebraic Number Theory Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:52:54 Algebraic number theory Field theory Algebraic structures Group theory Number theory Polynomial General number field sieve Algebraic number field Ideal class group Abstract algebra Mathematics Algebra