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class field theory
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201	RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER P. SHIU Fermat found that primes p ≡ 1 (mod 4) are sums of two squares, and Euler went on to investigate the representation of primes using more general quadratic for Add to Reading List Source URL: www.rzuser.uni-heidelberg.de Language: English - Date: 2002-11-03 20:34:30 Algebraic number theory Modular arithmetic Quadratic residue Mental calculators Disquisitiones Arithmeticae Quadratic reciprocity Reciprocity law Legendre symbol Class field theory Mathematics Abstract algebra Number theory
202	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
203	ACTA ARITHMETICA[removed]Inductivity of the global root number by Add to Reading List Source URL: math.bu.edu Language: English - Date: 2013-06-20 09:54:38 Algebraic number theory Galois theory Artin L-function Symbol Frobenius endomorphism Representation theory of Lie groups Representation theory of finite groups Local Langlands conjectures Abstract algebra Algebra Class field theory
204	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
205	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
206	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
207	CLASS FIELD THEORY C. CIIEVALLEY NAGOYA UNIVEIWTY[removed] Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:51:53 Field theory Algebraic structures Ring theory Group theory Homomorphism Morphisms Valuation Field extension Ring Abstract algebra Algebra Mathematics
208	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
209	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
210	Higher composition laws and applications Manjul Bhargava∗ Abstract. In 1801 Gauss laid down a remarkable law of composition on integral binary quadratic forms. This discovery, known as Gauss composition, not only had a Add to Reading List Source URL: www.icm2006.org Language: English - Date: 2013-10-02 08:04:05 Algebraic number theory Quadratic forms Field theory Algebraic geometry Multilinear algebra Binary quadratic form Ideal class group Quadratic field Discriminant Algebra Abstract algebra Mathematics

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