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class field theory
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#	Item
191	Stark’s Conjectures by Samit Dasgupta a thesis Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:54:05 Algebraic number theory Field theory Conjectures Number theory Class field theory Brumer–Stark conjecture Artin L-function Class number formula Dedekind zeta function Abstract algebra Mathematics Algebra
192	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
193	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
194	Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta A.B. (Harvard University) 1999 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:53:21 Field theory Conjectures Heegner point Number theorists Elliptic curve Kenneth Alan Ribet P-adic number Prime number Zeta function Abstract algebra Mathematics Algebraic number theory
195	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
196	EQUIVARIANT L-FUNCTIONS AT s = 0 AND s = 1 by David Solomon Abstract. — For an abelian extensions of number fields, we review some basic theory and formulate the Stark Conjecture in terms of the ‘equivariant’ L-fun Add to Reading List Source URL: pmb.univ-fcomte.fr Language: English - Date: 2011-02-07 10:36:19 Class field theory Field theory Conjectures Cyclotomic fields Dirichlet character Dirichlet L-function Gauss sum Conductor Dedekind zeta function Abstract algebra Mathematics Algebraic number theory
197	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
198	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
199	Canad. Math. Bull. Vol[removed]), 2002 pp. 466–482 A Note on the Automorphic Langlands Group To Robert Moody on his sixtieth birthday Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:02 Representation theory of Lie groups Conjectures Class field theory Number theory Local Langlands conjectures Langlands program Representation theory Langlands dual Tempered representation Abstract algebra Algebra Automorphic forms
200	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL Abstract. Toda [36] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P# Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:44:12 Field theory Real algebraic geometry Algebraic geometry Real closed field Betti number Polynomial Algebraic variety Field Semialgebraic set Abstract algebra Mathematics Algebra