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Diophantine equations
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71	√ ON UNIT POWER INTEGRAL BASES OF Z[ 4 m] VOLKER ZIEGLER Abstract. Let m 6= 0 be an integer which is not a perfect square and consider √ number fields of the form Q( 4 m). We characterize all orders of the form Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:10 Field theory Algebraic number field Algebraic number theory Differential equation Number theory Complex number Ordinary differential equation Diophantine equations Fundamental theorem of algebra Mathematics Abstract algebra Mathematical analysis
72	MATH CIRCLE - ELLIPTIC CURVES WEEKS 1 & 2 SAM LICHTENSTEIN 1. What is a curve? We started by considering the idea of a curve. This is just the set of points in the plane which satisfy a polynomial equation. For example, Add to Reading List Source URL: www.themathcircle.org Language: English - Date: 2007-10-20 22:29:22 Algebraic curves Diophantine equations Analytic number theory Elliptic curve Group theory Rational point Rational number Curve Infinite descent Mathematics Geometry Abstract algebra
73 $Diophantine equations / Combinatorial optimization / Mathematics / Number theory / Egyptian fractions$	. COPIES ARE AVAILABLE IN THE MATH LIBRARY PROBLEM OF THE WEEK[removed] Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-02-10 10:43:49 Diophantine equations Combinatorial optimization Mathematics Number theory Egyptian fractions
74	A Comment on \A New Public{Key Cipher System Based Upon the Diophantine Equations" S.R. Blackburn, S. Murphyyand K.G. Patersonz Information Security Group, Royal Holloway, University of London, Surrey TW20 0EX, U.K. Add to Reading List Source URL: www.isg.rhul.ac.uk Language: English - Date: 2005-11-30 04:39:34 Modular arithmetic Public-key cryptography Euclidean algorithm Merkle–Hellman knapsack cryptosystem Linear congruence theorem Quadratic residue Affine cipher Classical cipher Cryptography Mathematics Number theory
75	ON THE CUBIC COMBINATION AND THE THIRD DEGREE RAMANUJAN IDENTITIES Nicolae Ion Bratu * Adina N Cretan ABSTRACT. The present paper is a fragment revised from the work [3], published only in Romanian. Using a new functi Add to Reading List Source URL: bratu.oltenia.ro Language: English - Date: 2006-07-22 05:48:26** Equation Diophantine equation Linear equation Srinivasa Ramanujan Equation solving Algebraic equation Mathematics Elementary algebra Equations
76	ON THE QUATERNARY QUADRATIC DIOPHANTINE EQUATIONS (II) NICOLAE BRATU1 ADINA CRETAN2 ABSTRACT This paper has been updated and completed thanks to suggestions and critics coming from Dr. Add to Reading List Source URL: bratu.oltenia.ro Language: English - Date: 2006-07-22 05:48:22 Diophantine equations Number theory Louis J. Mordell Differential equation Elementary algebra Mathematics Equation
77	SIXES AND SEVENS Carl Pomerance University of Georgia Cooper and Kennedy [1] have posed the following interesting question. For n = 0, 1, . . . , Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-11-16 15:15:29 Diophantine equations Integer sequences Mathematics Number theory Modular arithmetic
78	Proof that there are infinitely many Pythagorean triples a proof by PowerOfPi Introduction We will prove that there are infinitely many Pythagorean triples where the Pythagorean triples are primitive (the three numbers Add to Reading List Source URL: www.agmath.com Language: English - Date: 2014-04-03 18:01:46 Triangle geometry Number theory Mathematical proof Euclidean plane geometry Number Parity Formulas for generating Pythagorean triples Pythagorean theorem Mathematics Diophantine equations Pythagorean triple
79	USA Mathematical Talent Search Round 3 Problems Year 25 — Academic Year 2013–2014 www.usamts.org Important information: Add to Reading List Source URL: usamts.org Language: English - Date: 2013-11-22 16:59:49 Integer Ring theory Autostrade of Italy Diophantine equations Mathematics Algebraic number theory Elementary number theory
80	M344 - Lab #3: The Steady-State Heat Equation Due date: Monday, December 6, 2010 You have been asked to find the steady-state temperature inside a square of size 3m×3m. Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2010-11-26 10:38:47 State space Differential calculus Mathematical analysis Econometrics Diophantine equations Regression analysis Mathematics Matrix Heat equation

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