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Finite field
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421	Engineering Mathematics and Sciences Department of Mathematical Sciences Course Offerings Add to Reading List Source URL: math.lakeheadu.ca Language: English - Date: 2014-05-21 11:44:27 Functional analysis Linear algebra Differential equation Factorization of polynomials over a finite field and irreducibility tests Classical orthogonal polynomials Mathematical analysis Mathematics Abstract algebra
422	Periodica Mathematica Hungarica Vol[removed]–2), (2001), pp. 191–198 THE EXPECTED NUMBER OF RANDOM ELEMENTS TO GENERATE A FINITE ABELIAN GROUP Carl Pomerance (Murray Hill) Dedicated to Professor Andr´ Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Field theory Abelian group Niels Henrik Abel P-group Finite field Algebraic number field Index of a subgroup Solvable group Finite groups Abstract algebra Algebra Group theory
423	A THEOREM OF HOCHSTER AND HUNEKE CONCERNING TIGHT CLOSURE AND HILBERT-KUNZ MULTIPLICITY LORI MCDONNELL Abstract. We provide a (mostly) self-contained treatment of Hochster and Huneke’s theorem characterizing Hilbert-Ku Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-07-31 13:13:14 Commutative algebra Module theory Algebras Torsion Separable algebra Finite field Integral element Field extension Field Abstract algebra Field theory Homological algebra
424	DEPARTMENT OF MATHEMATICS & STATISTICS FACULTY OF ARTS AND SCIENCE QUEEN’S UNIVERSITY Advice for students entering second-year in 2014–15 Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2014-03-19 14:06:40 Polynomials Coding theory Information theory Finite fields Factorization of polynomials over a finite field and irreducibility tests Anatolii Alexeevitch Karatsuba Mathematics Algebra Linear algebra
425	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
426	version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-12-11 15:17:22 Finite fields Primality tests Polynomials Field theory Elliptic curves Prime number Frobenius endomorphism Root of unity Miller–Rabin primality test Abstract algebra Mathematics Algebra
427	([removed], 9h26) Products of ratios of consecutive integers R´egis de la Bret`eche, Carl Pomerance & G´erald Tenenbaum For Jean-Louis Nicolas, on his sixtieth birthday Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-09-22 15:40:20 Sieve theory Exponentials Exponentiation Finite fields Information theory Jurkat–Richert theorem Factorization of polynomials over a finite field and irreducibility tests Mathematics Abstract algebra Mathematical analysis
428	CHAPTER VI THE HIGHER K-THEORY OF FIELDS The problem of computing the higher K-groups of fields has a rich history, beginning with Quillen’s calculation for finite fields (IV.1.13), and Borel’s calculation of K∗ ( Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-18 17:11:54 Algebraic number theory Galois theory Homological algebra Module theory Abelian group Algebraic number field Finite field Torsion Divisible group Abstract algebra Algebra Field theory
429	SELMER GROUP HEURISTICS AND SIEVES BJORN POONEN These are expanded lecture notes for a series of four lectures at the Arizona Winter School on “Arithmetic statistics” held March 15–19, 2014 in Tucson, Arizona. They Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-24 04:38:53 Polynomials Field theory Algebraic number theory Algebraic number field Finite field Prime number Degree of a continuous mapping Irreducible polynomial Projective space Abstract algebra Algebra Mathematics
430	2014 ARIZONA WINTER SCHOOL: ARITHMETIC STATISTICS STATISTICS FOR ZEROES OF L-FUNCTIONS OF CURVES OVER FINITE FIELDS CHANTAL DAVID The lectures will be concerned with statistics for the zeroes of L-functions in natural fa Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Algebraic number theory Field theory Hyperelliptic curve Peter Sarnak Elliptic curve Zeta function L-function Algebraic number field Abstract algebra Algebraic curves Analytic number theory

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