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Pomerance
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#	Item
21	pomerance.qxp[removed]:16 AM Page[removed]A Tale of Two Sieves Carl Pomerance (This paper is dedicated to the memory of my friend and Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:07 Numbers Quadratic sieve General number field sieve Lenstra elliptic curve factorization Prime number Integer factorization Factorization Sieve of Eratosthenes Factor base Integer factorization algorithms Mathematics Number theory
22	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: 2009-10-01 13:32:09 Primality tests Finite fields Polynomials Integer factorization algorithms Field theory Prime number Root of unity Number theory Miller–Rabin primality test Abstract algebra Mathematics Algebra
23	UPDATE ON PRIMALITY TESTING SERGEI V. KONYAGIN AND CARL POMERANCE Abstract. We discuss recent developments in the ﬁeld of primality testing since the appearance [10] of our joint paper On primes recognizable in determi Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2013-03-26 10:46:38 Mathematics AKS primality test Prime number Miller–Rabin primality test Integer factorization Randomized algorithm Time complexity Quadratic residue Jacobi symbol Theoretical computer science Computational complexity theory Primality tests
24	Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-19 13:19:05 Analytic number theory Integer sequences Prime numbers Group theory Prime-counting function Prime number theorem Elliptic curve Riemann hypothesis Factorial Mathematics Number theory Mathematical analysis
25	ERROR ESTIMATES FOR THE DAVENPORT–HEILBRONN THEOREMS KARIM BELABAS, MANJUL BHARGAVA, AND CARL POMERANCE Abstract. We obtain the first known power-saving remainder terms for the theorems of Davenport and Heilbronn on th Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-07-07 15:32:50 Algebraic number theory Cubic field Algebraic number field XTR Discriminant Discriminant of an algebraic number field Elliptic curve Abstract algebra Algebra Mathematics
26	ON THE ASYMPTOTIC EFFECTIVENESS OF WEIL DESCENT ATTACKS KORAY KARABINA, ALFRED MENEZES, CARL POMERANCE, AND IGOR E. SHPARLINSKI Abstract. In this paper we investigate the asymptotic effectiveness of the Gaudry-Hess-Smart Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-01-26 20:32:00 Cryptography Group theory Analytic number theory Elliptic curve Number theory Abstract algebra Mathematics Finite fields
27	THE RIEMANN ZETA-FUNCTION AND THE ONE-DIMENSIONAL WEYL-BERRY CONJECTURE FOR FRACTAL DRUMS MICHEL L. LAPIDUS and CARL POMERANCE [Received 7 April 1991—Revised 10 December 1991] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-12-16 12:48:26 Fractals Conjectures Riemann hypothesis Hausdorff dimension Riemann zeta function Minkowski content Smith–Minkowski–Siegel mass formula Elliptic curve Mathematical analysis Mathematics Analytic number theory
28	Remarks on the P´ olya–Vinogradov inequality Carl Pomerance Dedicated to Mel Nathanson on his 65th birthday Abstract: We establish a numerically explicit version of the P´ olya– Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-07-29 15:08:21 Hypotheses Riemann hypothesis Fourier series Dirichlet character Dirichlet L-function Character sum Mathematics Analytic number theory Conjectures
29	Divisors of the middle binomial coefficient Carl Pomerance Mathematics Department, Dartmouth College, Hanover, NH 03755, USA [removed] December 20, 2013 Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2013-12-21 18:24:33 Number theory Combinatorics Prime numbers Complex analysis Binomial coefficient Factorial Natural density Prime-counting function Pi Mathematics Mathematical analysis Integer sequences
30	Irreducible radical extensions and Euler-function chains Florian Luca Carl Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2006-06-21 13:30:56 Galois theory Algebraic number theory Group theory Separable extension Galois group Field extension Algebraic number field Primality certificate Kummer theory Abstract algebra Algebra Field theory

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