Greedy sequences of integers Yajit Jain, Deepak Narayanan, Leon Zhang November 18, 2014 1

Source URL: deepakn94.github.io

Mathematics Olympiad PSU Hazleton, SpringFirst round due MarchShow that among any 2008 integers it is always possible to nd a group of numbers with the sum divisible byLet x +

Source URL: www.hazleton.psu.edu

THEOREM OF THE DAY Faulhaber’s Formula The sum of the r-th powers of the first n positive integers is given by ! r X 1

Source URL: theoremoftheday.org

THEOREM OF THE DAY Germain’s Theorem If p is an odd prime such that 2p + 1 is also prime and if x, y and z are integers none of which is divisible by p then x p + y p , z p. Such x, y and z cannot therefore be counter

Source URL: www.theoremoftheday.org

MPIR The Multiple Precision Integers and Rationals Library EditionNovemberOriginal Authors: Torbjorn Granlund and the GMP Development Team

Source URL: www.mpir.org

• Compiling tools
• Cross-platform software
• Build automation
• Computer arithmetic
• Configure script
• Object-oriented programming languages
• GNU Multiple Precision Arithmetic Library
• Autoconf
• GNU Libtool
• MPIR
• Automake
• Cross compiler

Disjoint subset of integers having a constant sum Kiyoshi Ando,1 Severino Gervacio2 and Mikio Kano3 1 Nippon Ika University, Nakahara, Kawasaki, 211, Japan 2

Source URL: gorogoro.cis.ibaraki.ac.jp

ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS NIKOS FRANTZIKINAKIS AND BRYNA KRA Abstract. Szemer´edi’s Theorem states that a set of integers with positive upper density contains arbitrarily long arith

Source URL: www.math.uoc.gr

Singular Learning Theory Problems: Day 2 Shaowei Lin 22 MayGiven integers α1 , . . . , αd ≥ 0, compute the RLCT at the origin of the following monomial ideals: (a) hω1α1 , ω2α2 , . . . , ωdαd i (b) hω

Source URL: www1.i2r.a-star.edu.sg

THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL ´ KEVIN FORD AND GERALD TENENBAUM Abstract. We estimate the density of integers which have more than one divisor in an interval

Source URL: www.math.uiuc.edu

Pseudonym: ____________________________________________________ Date: _____________________________________ Handout: What Might You Find at These Web Addresses? Web Address www.math-play.com/IntegersJeopardy/Integers-Je

Source URL: hackhealth.umd.edu