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Genus field
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11	PRIME SPECIALIZATION IN GENUS 0 BRIAN CONRAD, KEITH CONRAD, AND ROBERT GROSS Abstract. For a prime polynomial f (T ) ∈ Z[T ], a classical conjecture predicts how often f has prime values. For a finite field κ and a pr Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2006-05-31 00:00:20 Abstract algebra Finite field Bateman–Horn conjecture Degree of a continuous mapping Degree of a polynomial Resultant Factorization of polynomials over a finite field and irreducibility tests Separable extension Mathematics Algebra Polynomials
12	Field Identification Guide of the Prebranchial Appendages (Gill Plates) of Mobulid Rays for Law Enforcement and Trade Monitoring Applications The genus Manta, which includes the oceanic manta ray (Manta birostris) and th Add to Reading List Source URL: www.mantatrust.org Language: English - Date: 2012-12-17 06:36:17 Zoology Fish anatomy Manta ray Manta Box ray Batoidea Gill Giuseppe Notarbartolo di Sciara Spinetail mobula Fish Mobula Myliobatidae
13	A LOWER BOUND ON THE SIZE OF BINARY CODES PETER J. MCNAMARA Abstract. In this paper, we construct some nonlinear binary codes that give good (but not optimally known) lower bounds on the size of binary codes with fixed l Add to Reading List Source URL: www.maths.usyd.edu.au Language: English - Date: 2013-07-01 22:40:26 Mathematical analysis Field theory Finite field Differential operators Number theory Coding theory Wozencraft ensemble Genus of a multiplicative sequence Abstract algebra Mathematics Error detection and correction
14	Fast arithmetic and pairing evaluation on genus 2 curves David Freeman University of California, Berkeley [removed] November 6, 2005 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:47 Group theory Polynomial Euclidean algorithm Finite fields Elliptic curves Integer factorization algorithms Lenstra elliptic curve factorization Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Mathematics Algebra
15	Factoring Class Polynomials over the Genus Field Marcel Martin [removed] March 6, 2010 Abstract Add to Reading List Source URL: www.ellipsa.eu Language: English - Date: 2010-03-06 16:55:33 Algebraic number theory Discriminant Elliptic curve Quadratic form Fundamental discriminant Splitting field Discriminant of an algebraic number field Algebraic number field Abstract algebra Algebra Mathematics
16	REAL QUADRATIC FIELDS WITH ABELIAN 2-CLASS FIELD TOWER ELLIOT BENJAMIN DEPARTMENT OF MATHEMATICS UNITY COLLEGE, UNITY, ME[removed]AND Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-25 13:48:58 Class number formula Quadratic field Discriminant Ideal class group Field extension Quaternion algebra Genus field Algebraic number field Class field theory Abstract algebra Algebra Algebraic number theory
17	Some Upcoming Dates * Soon paper topic selection * 27-28 September field trip; bring camera; 9 AM arrival on Saturday * 4 October: I will be away at Smithsonian that Friday * 7 October topic due Add to Reading List Source URL: hydrodictyon.eeb.uconn.edu Language: English - Date: 2013-09-23 19:17:05 Biology Zoology Scientific classification Taxonomic rank Biological classification Type Genus Zoological nomenclature Botanical nomenclature Science
18	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
19	A Note on P´epin’s counter examples to the Hasse principle for curves of genus 1 Franz Lemmermeyer Bilkent University[removed]Bilkent, Ankara September 11, 2003 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:04 Algebraic number theory Modular arithmetic Field theory Analytic number theory Elliptic curve Quadratic reciprocity Infinite descent Algebraic number field P-adic number Mathematics Abstract algebra Number theory

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