General Video Game Level Generation Ahmed Khalifa Diego Perez-Liebana New York University

Source URL: julian.togelius.com

• Video game development
• Information theory
• Random number generation
• Sprite
• Graphics chips
• Spriting

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

Source URL: davidlowryduda.com

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

. Genus 2 formulae based on Theta functions and their implementation Pierrick Gaudry

Source URL: mathsci.ucd.ie

• Riemann surfaces
• Algebraic surfaces
• Analytic number theory
• Elliptic curve
• Group theory
• Kummer surface
• Pi
• Theta function

Continued Fractions and Pell’s Equation Max Lahn Jonathan Spiegel May 2, 2016 Abstract

Source URL: davidlowryduda.com

• Mathematics
• Mathematical analysis
• Continued fractions
• Elementary mathematics
• Number theory
• Algebraic numbers
• Periodic continued fraction
• Euclidean algorithm
• Number
• Pi
• Square root
• Quadratic irrational number

Around the Möbius function Kaisa Matomäki (University of Turku), Maksym Radziwill (Rutgers University) The Möbius function plays a central role in number theory; both the prime number theorem and the Riemann Hypothesi

Source URL: www.7ecm.de

Journal of Number Theory 74, 73Article ID jnth, available online at http:www.idealibrary.com on Some Remarks on Representations of a Division Algebra and of the Galois Group of a Local Field Dipend

Source URL: www.math.tifr.res.in

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

Genus 2, faster Gaudry, Kohel, Smith Genus 1 and 2 Point Counting for Genus 2 Curves

Source URL: ecc2011.loria.fr

• Mathematics
• Abstract algebra
• Group theory
• Algebra
• Prime number
• Elliptic curve
• Elliptic curve cryptography
• Finite fields

Chaotic Random Number Generators with Random Cycle Lengths by Agner Fog This document is published at www.agner.org/random/theory, December 2000, revised November 25, 2001.

Source URL: agner.org