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481	MATHEMATICS 129, SPRING 2009 NUMBER FIELDS KATHERINE E. STANGE Contents 1. Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2015-10-18 16:52:55 Ring theory Algebraic number theory Field theory Commutative algebra Polynomials Algebraic integer Algebraic number field Integral element Ring of integers Minimal polynomial Unique factorization domain Integral domain
482	997 Documenta Math. On Artin Representations and Nearly Ordinary Hecke Algebras Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2013-08-07 16:11:32 Class field theory Algebraic number theory Galois theory Field theory Representation theory Artin L-function Galois module Algebraic number field Artin reciprocity law Conductor Artin conductor Artin
483	Elon Lindenstrauss Citation: “For his results on measure rigidity in ergodic theory, and their applications to number theory.” Elon Lindenstrauss has developed extraordinarily powerful theoretical tools in ergodic th Add to Reading List Source URL: www.icm2010.in Language: English - Date: 2012-02-02 09:07:21 Ergodic theory Dynamical systems Stochastic processes Diophantine approximation Anatole Katok Elon Lindenstrauss Littlewood conjecture Ergodicity Ergodic Chaos theory Invariant measure Manfred Einsiedler
484	ANNUAL SCIENTIFIC JOURNAL OF OVIDIUS UNIVERSITY - MECHANICAL ENGINEERING SERIES ANALELE UNIVERSITATII OVIDIUS CONSTANTA – SERIA INGINERIE MECANICA VOLUME IX, NUMBER 1, 2007 CONTENTS: Add to Reading List Source URL: imim.univ-ovidius.ro Language: English - Date: 2012-07-25 04:20:03 Automation Smart materials Control theory Polymers Artificial muscle Simulation Computer-aided design Pneumatic artificial muscles Model predictive control Polymer nanocomposite Scientific modelling Actuator
485	Documenta Mathematica Extra Volume: John H. Coates’ Sixtieth Birthday, 2006 Preface 1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 17:49:13 Number theorists Cyclotomic fields Field theory Galois theory Number theory Galois module Ralph Greenberg P-adic L-function Iwasawa theory Haruzo Hida P-adic number John H. Coates
486	ohp-english+pictures.pdf Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2012-11-24 02:27:22 Number theory Algebraic number theory Galois theory Algebraic geometry Field theory Inter-universal Teichmller theory Shinichi Mochizuki Abc conjecture Frobenius endomorphism P-adic number Field extension
487	Research Statement Brandon Fodden The central focus of my research is the study of L-functions. A combination of powerful results and fundamental open questions makes this an exciting area in which to do research. The st Add to Reading List Source URL: people.math.carleton.ca Language: English - Date: 2011-11-05 17:17:54 Bernhard Riemann Analytic number theory Conjectures Field theory Algebraic geometry Generalized Riemann hypothesis Riemann zeta function Riemann hypothesis Prime number theorem Elliptic curve Diophantine equation Selberg class
488	Tips and Tricks: Complex Roots The POLYROOT function can be used to find the roots of complex polynomials, with the results being stored as complex vectors. For example, suppose we want to find the complex cube roots of Add to Reading List Source URL: www.hphomeview.com Language: English Group theory Complex numbers Mathematical structures 0Z Complex plane Polynomial Vector space Number
489	RAMIFICATION CORRESPONDENCE OF FINITE FLAT GROUP SCHEMES OVER EQUAL AND MIXED CHARACTERISTIC LOCAL FIELDS SHIN HATTORI Abstract. Let p > 2 be a rational prime, k be a perfect field of characteristic p and K be a finite t Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2011-01-01 23:09:08 Algebraic number theory Algebraic topology Complex analysis Algebraic geometry Galois module Galois theory Ramification Valuation Sheaf Linear temporal logic Isomorphism theorem
490	479 Documenta Math. Kato Homology of Arithmetic Schemes and Higher Class Field Theory Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-12-22 16:28:39 Cohomology theories Algebraic geometry Algebraic number theory Homological algebra Conjectures Motivic cohomology Algebraic K-theory Cohomology tale cohomology Milnor K-theory Norm residue isomorphism theorem Brauer group

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