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Algebraic number
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#	Item
501	Baltic Way 2006 Turku, November 3, 2006 Version: English 1. For a sequence a1 , a2 , a3 , . . . of real numbers it is known that Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2006-11-08 12:16:15 Ring theory Elementary number theory Elementary mathematics Integer sequences Integer Binomial coefficient Pythagorean triple Mathematics Abstract algebra Algebraic number theory
502	Security of Cryptosystems Based on Class Groups of Imaginary Quadratic Orders Safuat Hamdy Bodo Möller Add to Reading List Source URL: www.bmoeller.de Language: English - Date: 2006-01-02 00:23:19 Integer factorization algorithms Finite fields Computational hardness assumptions Algebraic number theory Group theory XTR Discrete logarithm Quadratic sieve Integer factorization Abstract algebra Mathematics Algebra
503	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
504	A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-08 21:38:03 Number theory Modular arithmetic Analytic number theory Class field theory Symbol Artin reciprocity law Frobenius endomorphism Valuation Modular form Abstract algebra Mathematics Algebraic number theory
505	VOLUME 88, NUMBER 12 PHYSICAL REVIEW LETTERS 25 MARCH 2002 Add to Reading List Source URL: www.itp.uni-bremen.de Language: English - Date: 2011-08-10 05:51:03 Networks Algebraic graph theory Sociology Small-world network Scale-free network Degree distribution Average path length Clustering coefficient Social network Graph theory Network theory Mathematics
506	The 23rd Nordic Mathematical Contest Thursday April 2, 2009 English version with solutions Time allowed is 4 hours. Each problem is worth 5 points. The only permitted aids are writing and drawing tools. Problem 1 Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2009-05-21 17:34:09 Ring theory Triangles Triangle geometry Algebraic number theory Polynomial Ring Integer Triangle Greatest common divisor Abstract algebra Mathematics Algebra
507	NORDIC MATHEMATICAL CONTEST PROBLEMS AND SOLUTIONS, 1987–2011 PROBLEMS The problems are identiﬁed as xy.n., whery x and y are the last digits of the competition year and n is the n:th problem of that year. Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2011-10-20 10:50:54 Algebraic number theory Combinatorics Integer sequences Exponentials Fibonacci number Factorial Exponentiation Ring Integer Mathematics Abstract algebra Ring theory
508	Divison Polynomials for Alternate Models of Elliptic Curves Dustin Moody ∗ Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-12-10 11:14:29 Elliptic curves Algebraic curves Elliptic curve cryptography Group theory Analytic number theory Division polynomials Elliptic curve Hessian form of an elliptic curve Curve Abstract algebra Geometry Algebraic geometry
509	16th Baltic Way Mathematical Team Contest: Solutions November 5, 2005, Stockholm, Sweden 1. Answer: No, the sequence must contain two equal terms. It is clear that there exists a smallest positive integer k such that 10k Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-11-08 02:58:48 Modular arithmetic Integer sequences Algebraic number theory Quadratic residue SYmbolic LinK Binomial coefficient Mathematics Number theory Abstract algebra
510	Curriculum Vitæ Henrik Densing Petersen Date of birth: Private address: Avenue Reller 38 CH-1804, Corsier-sur-Vevey Add to Reading List Source URL: egg.epfl.ch Language: English - Date: 2015-04-16 08:10:52 Betti number Topological graph theory Locally compact group L2 Mathematics Abstract algebra Algebraic topology

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