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Algebraic numbers
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51	Baltic Way 2003 Problems and Solutions 1. Let Q+ be the set of positive rational numbers. Find all functions f : Q+ → Q+ which for all x ∈ Q+ fulfil (1) : f ( x1 ) = f (x) (2) : (1 + x1 )f (x) = f (x + 1) Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-08-27 11:22:17 Algebraic number theory Field theory Modular arithmetic Coprime Divisor Fibonacci number Rational number Lattice Euclidean algorithm Mathematics Abstract algebra Number theory
52 $AF1.2: ALGEBRAIC FRACTIONS (ADDITION & SUBTRACTION) Only fractions which have a common denominator may be added or subtracted. Remember$	AF1.2: ALGEBRAIC FRACTIONS (ADDITION & SUBTRACTION) Only fractions which have a common denominator may be added or subtracted. Remember Add to Reading List Source URL: emedia.rmit.edu.au Language: English - Date: 2012-11-21 21:56:04 Numbers Fractions Lowest common denominator Algebraic fraction Addition Mathematics Arithmetic Elementary arithmetic
53 $Continued fractions of algebraic numbers some statistical tests (preliminary report - work in progress) Keith Briggs research.btexact.com/teralab/keithbriggs.html$	Continued fractions of algebraic numbers some statistical tests (preliminary report - work in progress) Keith Briggs research.btexact.com/teralab/keithbriggs.html Add to Reading List Source URL: keithbriggs.info Language: English - Date: 2005-07-05 12:58:03 Irrational number Fraction Continued fraction Number I1 Mathematics Functional languages Q
54	arXiv:1309.0906v7 [math.NT] 1 NovThe Abundancy Index of Divisors of Odd Perfect Numbers - Part II✩ Keneth Adrian P. Dagal Department of Mathematics, Far Eastern University Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-11-04 03:01:31 Quadratic forms Modular arithmetic Divisor function Mathematics Number theory Algebraic number theory
55	THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE I. P. GOULDEN, D. M. JACKSON AND R. VAKIL Abstract. We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2009-04-10 18:17:48 Abstract algebra Algebraic curves Riemann surfaces ELSV formula Permutations String theory Moduli space Moduli of algebraic curves Riemann–Hurwitz formula Algebraic geometry Moduli theory Geometry
56	RECURSIONS FOR CHARACTERISTIC NUMBERS OF GENUS ONE PLANE CURVES RAVI VAKIL Abstract. Characteristic numbers of families of maps of nodal curves to P2 are dened as Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:01 Differential geometry Intersection theory Vector bundles Divisor Dual curve Linear system of divisors Ample line bundle Chow ring Curve Geometry Abstract algebra Algebraic geometry
57	An Irrational Construction of R from Z R.D. Arthan Lemma 1 Ltd. 2nd Floor, 31A Chain Street, Reading UK RG1 2HX Add to Reading List Source URL: www.lemma-one.com Language: English - Date: 2008-07-11 10:37:44 Field theory Elementary mathematics Real algebraic geometry Algebraic structures Ring theory Construction of the real numbers Archimedean property Real number Field Abstract algebra Mathematics Algebra
58	THE ELLIPTIC CURVE METHOD PAUL ZIMMERMANN The Elliptic Curve Method (ECM for short) was invented in 1985 by H. W. Lenstra, Jr[removed]It is suited to find small — say 9 to 30 digits — prime factors of large numbers. Am Add to Reading List Source URL: www.loria.fr Language: English - Date: 2004-09-06 05:03:02 Cryptography Lenstra elliptic curve factorization Quadratic sieve Integer factorization Elliptic curve Primality test Prime number Prime factor Algebraic-group factorisation algorithm Integer factorization algorithms Abstract algebra Mathematics
59	THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS I.P. GOULDEN, D.M. JACKSON, AND R. VAKIL Contents 1. Introduction Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:03 Symplectic topology Abstract algebra Differential topology Complex manifolds Gromov–Witten invariant Integral Genus of a multiplicative sequence ELSV formula Mathematical analysis Algebraic geometry String theory
60	On algebraic properties of bicomplex and hyperbolic numbers. D. Rochon∗ , M. Shapiro.∗∗ ∗ Add to Reading List Source URL: www.3dfractals.com Language: English - Date: 2005-10-12 15:43:50 Hypercomplex numbers Computing Z1 Z3 Bicomplex number Q Z2 Split-complex number History of computing hardware Algebra Mechanical computers