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Algebraic number field
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531	RAMIFICATION IN IWASAWA MODULES CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER Abstract. We make a reciprocity conjecture that extends Iwasawa’s analogy of direct limits of class groups along the cyclotomic tower of Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2010-11-24 09:46:58 Algebraic number field Iwasawa theory Finite field Torsion Galois group Field Valuation Elliptic curve Inverse Galois problem Abstract algebra Algebra Field theory
532	Mathematics Subject Classification 2000 Mathematics Subject Classification[removed]MSC2000) This is a completely revised version of the MSC, prepared collaboratively in the editorial offices of MR and Zentralblatt MATH. It Add to Reading List Source URL: ams.mpim-bonn.mpg.de Language: English - Date: 2010-10-11 14:38:19 Field theory Algebraic structures Fields of mathematics Lattice theory Number theory Representation theory Areas of mathematics Distributive lattice Modular form Abstract algebra Mathematics Algebra
533	Summary Let T be a homogeneous polynomial in three variables and with rational integer co¨efficients. As a generalisation of Thue’s equation we consider the ternary form equation T (x, y, z) = 1 in the integral unknow Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2007-01-08 06:57:40 Ordinary differential equations Operator theory Spectral theory Algebraic number field Algebraic number theory Field theory Spectral theory of ordinary differential equations Sturm–Liouville theory Mathematics Calculus Algebra
534	MAS Modula{2 Algebra System Specications Denition Modules Indexes Computer Algebra Group Add to Reading List Source URL: krum.rz.uni-mannheim.de Language: English - Date: 2007-11-19 08:07:27 Polynomials Field theory Computer algebra Commutative algebra Gröbner basis Factorization of polynomials Algebraic number field Field Content Abstract algebra Algebra Mathematics
535	Abstracta 2 : 2 pp. 148 – 171, 2006 MEASUREMENT-THEORETIC OBSERVATIONS ON FIELD’S INSTRUMENTALISM AND THE APPLICABILITY OF MATHEMATICS Davide Rizza Add to Reading List Source URL: www.abstracta.pro.br Language: English - Date: 2013-11-01 19:08:09 Algebraic structures Measurement Elementary mathematics Mathematical structures Level of measurement Quantity Real number Field Function Mathematics Abstract algebra Algebra
536	UNITS GENERATING THE RING OF INTEGERS OF COMPLEX CUBIC FIELDS ROBERT F. TICHY AND VOLKER ZIEGLER Abstract. All purely cubic fields such that their maximal order is generated by its units are determined. Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:12 Algebraic number field Field theory Symbol Algebraic integer Complex number Ring of integers Spectral theory of ordinary differential equations Riemann sphere Abstract algebra Algebraic number theory Algebra
537	THE ADDITIVE UNIT STRUCTURE OF COMPLEX BI-QUADRATIC FIELDS VOLKER ZIEGLER Abstract. We determine which rings of the form Z[α] are generated by their units, where α is a root of the polynomial X 4 − BX 2 + D such that Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:13 Elementary algebra Algebraic number theory Constructible universe Quartic function Algebraic integer Algebraic number field Abstract algebra Mathematics Algebra
538	ON GEOMETRIC PROGRESSIONS ON PELL EQUATIONS AND LUCAS SEQUENCES ´ ATTILA BERCZES AND VOLKER ZIEGLER Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2012-04-10 02:05:29 Mathematics Geometric progression Algebraic number field
539	Mathematics Subject Classification 2000 Mathematics Subject Classification[removed]MSC2000) This is a completely revised version of the MSC, prepared collaboratively in the editorial offices of MR and Zentralblatt MATH. It Add to Reading List Source URL: klymene.mpim-bonn.mpg.de Language: English - Date: 2010-10-11 14:38:19 Field theory Algebraic structures Fields of mathematics Lattice theory Number theory Representation theory Areas of mathematics Distributive lattice Modular form Abstract algebra Mathematics Algebra
540	√ ON UNIT POWER INTEGRAL BASES OF Z[ 4 m] VOLKER ZIEGLER Abstract. Let m 6= 0 be an integer which is not a perfect square and consider √ number fields of the form Q( 4 m). We characterize all orders of the form Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:10 Field theory Algebraic number field Algebraic number theory Differential equation Number theory Complex number Ordinary differential equation Diophantine equations Fundamental theorem of algebra Mathematics Abstract algebra Mathematical analysis

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