class field theory

Results: 257



#Item
191Algebraic 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

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
192Ideals / Field theory / Connection / Differential geometry / Discriminant of an algebraic number field / Abstract algebra / Algebraic number theory / Ideal class group

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
193Field theory / Algebraic structures / Ring theory / Algebraic number field / Symbol / Ring of integers / Ideal class group / Prime ideal / Field / Abstract algebra / Algebra / Algebraic number theory

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
194Field theory / Conjectures / Heegner point / Number theorists / Elliptic curve / Kenneth Alan Ribet / P-adic number / Prime number / Zeta function / Abstract algebra / Mathematics / Algebraic number theory

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
195Field theory / Algebraic number field / Adele ring / Galois module / Field / Ideal class group / Prime number / Class field theory / Ramification / Abstract algebra / Algebra / Algebraic number theory

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
196Class field theory / Field theory / Conjectures / Cyclotomic fields / Dirichlet character / Dirichlet L-function / Gauss sum / Conductor / Dedekind zeta function / Abstract algebra / Mathematics / Algebraic number theory

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
197Algebraic number theory / Ideal class group / Quadratic integer / Algebraic number field / Quadratic reciprocity / Quadratic field / Quadratic form / Gaussian integer / Ideal norm / Abstract algebra / Algebra / Mathematics

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
198Algebraic 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

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
199Representation 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

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
200Field theory / Real algebraic geometry / Algebraic geometry / Real closed field / Betti number / Polynomial / Algebraic variety / Field / Semialgebraic set / Abstract algebra / Mathematics / Algebra

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
UPDATE