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The Integer Group
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41	The F a,b,c conjecture is true Edmund F Robertson University of St Andrews Groups in Galway 19 May 2007 Add to Reading List Source URL: turnbull.mcs.st-and.ac.uk Language: English - Date: 2007-05-09 05:58:08 Group theory Euclidean plane geometry Fermat number Number theory Coset enumeration Prime number Mathematics Abstract algebra Integer sequences
42	Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2004-10-19 06:36:06 Algebraic number theory Analytic number theory Elliptic curve Quadratic form Algebraic number field Transcendental number Algebraic integer Ideal class group Prime number Abstract algebra Mathematics Algebra
43	Certicom ECC Challenge Abstract Certicom is pleased to present the Certicom Elliptic Curve Cryptosystem (ECC) Challenge. The first of its kind, the ECC Challenge has been developed to increase the industry’s understand Add to Reading List Source URL: www.certicom.com Language: English - Date: 2008-02-26 14:48:25 Finite fields Computational hardness assumptions Group theory Key management Elliptic curve cryptography Elliptic curve Integer factorization Key size Elliptic Curve DSA Abstract algebra Cryptography Mathematics
44	THE FOUR NUMBERS GAME, WEEK 2 MATTHEW TAI We return to the question of whether we can go backwards. After some experimentation, we realized that we could go backwards if one of the entries was the sum of the other three Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-10-20 22:30:07 Number Exponentiation Integer sequences Combinatorial game theory Random permutation statistics Abstract algebra Mathematics Group theory
45	MP473 Examination, November 1998 Time: 3 hours Answer all questions 1. (a) Explain what is meant by the statements: (i) θ is an algebraic integer, (ii) K is an algebraic number field of degree n, (iii) ω1 , . . . , ωn Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-30 20:35:30 Ordinal number Constructible universe Ideal class group Connection Fiber bundles Abstract algebra Algebraic number theory Mathematics
46	THREE NEW FACTORS OF FERMAT NUMBERS R. P. BRENT, R. E. CRANDALL, K. DILCHER, AND C. VAN HALEWYN Abstract We report the discovery of a new factor for each of the Fermat numbers F13 , F15 , F16 . These new factors have 27, Add to Reading List Source URL: gan.anu.edu.au Language: English - Date: 2003-11-05 11:07:22 Integer sequences Integer factorization algorithms Euclidean plane geometry Fermat number Number theory Pierre de Fermat Lenstra elliptic curve factorization Integer factorization Richard P. Brent Mathematics Abstract algebra Group theory
47	THE DIRICHLET CLASS NUMBER FORMULA FOR IMAGINARY QUADRATIC FIELDS The factorizations 6 = 2 · 3 = (1 + Add to Reading List Source URL: people.reed.edu Language: English - Date: 2014-04-10 09:31:43 Algebraic number theory Ideal class group Quadratic integer Algebraic number field Quadratic reciprocity Quadratic field Quadratic form Gaussian integer Ideal norm Abstract algebra Algebra Mathematics
48 $Normal distribution / Combinatorics / Integer sequences / Logarithm / Chi-squared distribution / Factorial / Multivariate normal distribution / Lerch zeta function / Partial fractions in complex analysis / Mathematics / Mathematical analysis / Statistics$	The Analysis of Simultaneous Differences in Differential Cryptanalysis S. Murphy Information Security Group Department of Mathematics Add to Reading List Source URL: www.isg.rhul.ac.uk Language: English - Date: 2011-05-25 05:20:21 Normal distribution Combinatorics Integer sequences Logarithm Chi-squared distribution Factorial Multivariate normal distribution Lerch zeta function Partial fractions in complex analysis Mathematics Mathematical analysis Statistics
49	THE AVERAGE ORDER OF ELEMENTS IN THE MULTIPLICATIVE GROUP OF A FINITE FIELD YILAN HU AND CARL POMERANCE A BSTRACT. We consider the average multiplicative order of a nonzero element in a finite field and compute the mean Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-01-12 11:42:57 Number theory Field theory Prime numbers Factorial Prime-counting function Finite field Binomial coefficient Transcendental number Mathematics Combinatorics Integer sequences
50	ELEMENTARY THOUGHTS ON DISCRETE LOGARITHMS Carl Pomerance Given a cyclic group G with generator g, and given an element t in G, the discrete logarithm problem is that of computing an integer l with g l = t. The problem o Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2007-04-10 16:50:22 Group theory Logarithms Finite fields Analytic number theory Modular arithmetic Discrete logarithm XTR Index calculus algorithm Cyclic group Abstract algebra Mathematics Algebra

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