FACTORIZATION TECHNIQUES ELVIS NUNEZ AND CHRIS SHAW Abstract. The security of the RSA public key cryptosystem relies upon the computational difficulty of deriving the factors of a particular semiprime modulus. In this pa

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• Integer factorization algorithms
• Mathematics
• Cryptography
• Number theory
• Quadratic sieve
• Euclidean algorithm
• RSA
• Prime number
• Factorization
• Trial division
• General number field sieve
• Rational sieve

Mixed-Integer Nonlinear Programming Models for Optimal Design of Multi-product Batch Plant Fengqi You* and Ignacio E. Grossmann**, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213 *e-m

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Lattice Points, Polyhedra, and Complexity Alexander Barvinok IAS/Park City Mathematics Series Volume , 2004

Source URL: www.math.lsa.umich.edu

• Polyhedron
• Functions and mappings
• Algebraic varieties
• Euler characteristic
• Integer points in convex polyhedra
• Limit of a function
• Lattice
• Rational function
• Series
• Regular polyhedron

NORMALITY OF NUMBERS GENERATED BY THE VALUES OF ENTIRE FUNCTIONS ¨ MANFRED G. MADRITSCH, JORG M. THUSWALDNER, AND ROBERT F. TICHY Abstract. We show that the number generated by the q-ary integer part of an entire functi

Source URL: institute.unileoben.ac.at

MATH 669: COMBINATORICS, GEOMETRY AND COMPLEXITY OF INTEGER POINTS Alexander Barvinok Abstract. These are rather condensed notes, not really proofread or edited, presenting key definitions and results of the course that

Source URL: www.math.lsa.umich.edu

• Leech lattice
• Moonshine theory
• Lattice
• Spectral theory of ordinary differential equations
• Lambda calculus

Fast Computation of Gauss Sums and Resolution of the Root of Unity Ambiguity Dang Khoa Nguyen Division of Mathematical Sciences School of Physical & Mathematical Sciences Nanyang Technological University

Source URL: www.ntu.edu.sg

• Polynomials
• Cyclotomic fields
• Field theory
• Algebraic numbers
• Algebraic number theory
• Gaussian period
• Quadratic Gauss sum
• Cyclotomic polynomial
• Root of unity
• Polynomial ring
• Algebraic integer
• Algebraic number field

AN ASYMPTOTIC FORMULA FOR THE NUMBER OF NON-NEGATIVE INTEGER MATRICES WITH PRESCRIBED ROW AND COLUMN SUMS Alexander Barvinok and J.A. Hartigan March 2011

Source URL: www.math.lsa.umich.edu

• Mathematics
• Algebra
• Mathematical analysis
• Matrix theory
• Linear algebra
• Normal distribution
• Determinant
• Matrix
• Central limit theorem
• Random permutation statistics
• Matrix exponential

ON A FAMILY OF THREE TERM NONLINEAR INTEGER RECURRENCES ˝ AND J. M. THUSWALDNER P. KIRSCHENHOFER, A. PETHO, Abstract. In the present paper we study sequences defined by the recurrence relation  

Source URL: institute.unileoben.ac.at

A BINOMIAL COEFFICIENT IDENTITY ASSOCIATED TO A CONJECTURE OF BEUKERS Scott Ahlgren, Shalosh B. Ekhad, Ken Ono and Doron Zeilberger If n is a positive integer, then let A(n) :=

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Syllabus 1. Induction This class will demonstrate the fundamental problem solving technique of mathematical induction. Example Problem: Prove that for every positive integer n there exists an n-digit number divisible by

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