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Algebraic number field
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221	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
222	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
223	Baltic Way 2002 mathematical team contest Tartu, November 2, 2002 Problems and solutions 1. Solve the system of equations  3  a + 3ab2 + 3ac2 − 6abc = 1 Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-02-22 03:57:24 Algebraic number theory XTR Quadrilateral Modular arithmetic Number theory Algebraic number field Fibonacci number Abstract algebra Mathematics Ring theory
224	Construction of self-dual normal bases and their complexity Fran¸cois Arnault a , Erik Jarl Pickett b,? , St´ephane Vinatier a a XLIM UMR 6172 CNRS - Universit´e de Limoges, 123 avenue Albert Thomas, Add to Reading List Source URL: www.unilim.fr Language: English - Date: 2012-05-09 06:03:44 Algebraic number theory Cyclotomic field Ordinal number
225	arXiv:1008.1284v1 [math.NT] 6 AugIdeal forms of Coppersmith’s theorem and Guruswami-Sudan list decoding Henry Cohn Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-08-09 20:26:12 Polynomials Field theory Commutative algebra Finite field Irreducible polynomial Algebraic number field General number field sieve Vector space Rational function Abstract algebra Algebra Mathematics
226	On the weighted Kneser-Poulsen conjecture ∗ K. Bezdek †(Univ. of Calgary) and R. Connelly ‡(Cornell Univ.) Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2009-01-19 15:55:17 Algebra Algebraic geometry Analytic number theory Field theory Algebraic number theory Abstract algebra Mathematics Conjectures
227	Abstract Fix an integer m > 2 and let K be a number field containing the mth roots of unity with ring of integers R. Suppose that a is an element of K with a = c/d for c, d ∈ R, and that b is an ideal of R relatively Add to Reading List Source URL: douglassquirrel.com Language: English - Date: 2013-08-17 18:16:01 Lattice points Algebraic number theory Analytic geometry Lattice Lenstra–Lenstra–Lovász lattice basis reduction algorithm Algebraic number field Field extension Vector space Ideal lattice cryptography Algebra Abstract algebra Mathematics
228 $Field theory / Diophantine approximation / Number theory / Vector space / Continued fraction / Algebraic number field / Minimal polynomial / Transcendence theory / Liouville number / Algebra / Mathematics / Abstract algebra$	Some experimental approaches to Diophantine approximation problems Keith Briggs research.btexact.com/teralab/keithbriggs.html Add to Reading List Source URL: keithbriggs.info Language: English - Date: 2005-07-05 12:47:01 Field theory Diophantine approximation Number theory Vector space Continued fraction Algebraic number field Minimal polynomial Transcendence theory Liouville number Algebra Mathematics Abstract algebra
229	Interlocking Rhythms, Duration Interval Content, Cyclotomic Sets, and the Hexachordal Theorem Godfried T. Toussaint School of Computer Science, McGill University, 3480 University St., Montreal, Canada [[removed]ll Add to Reading List Source URL: www-cgrl.cs.mcgill.ca Language: English - Date: 2006-12-14 20:11:29 David Lewin Post-tonal music theory Cyclotomic field Twelve-tone technique Theorem Logic Mathematics Algebraic number theory
230	TWISTS OF X(7) AND PRIMITIVE SOLUTIONS TO x2 + y 3 = z 7 BJORN POONEN, EDWARD F. SCHAEFER, AND MICHAEL STOLL Abstract. We find the primitive integer solutions to x2 + y 3 = z 7 . A nonabelian descent argument involving t Add to Reading List Source URL: math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic curves Group theory Algebraic number theory Elliptic curve J-invariant Algebraic number field Modular curve Μ operator Classical modular curve Abstract algebra Analytic number theory Modular forms

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