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Integers
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#	Item
711	18 18 Bits and pieces Although one generally prefers to think of data elements as "long integers" or "doubles" or "characters", in the machine they are all just bit patterns packed into successive bytes of memory. Once i Add to Reading List Source URL: www.uow.edu.au Language: English - Date: 2001-01-07 17:04:56 Computer programming Binary arithmetic Error detection and correction Hash function Trie Information retrieval Mask Iostream String C++ Search algorithms Computing
712	UIUC UNDERGRADUATE MATH CONTEST April 16, 2005 Solutions 1. For which positive integers n does the equation a1 a2 + a2 a3 + · · · + an−1 an + an a1 = 0 Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2005-04-16 17:33:25 Trigonometry Logarithms Exponentiation Sine Sinc function Mathematical fallacy Proof that π is irrational Fourier series Mathematics Special functions Mathematical analysis
713	p-ADIC HEIGHTS OF HEEGNER POINTS AND ANTICYCLOTOMIC Λ-ADIC REGULATORS JENNIFER S. BALAKRISHNAN, MIRELA C ¸ IPERIANI, AND WILLIAM STEIN Abstract. Let E be an elliptic curve defined over Q. The aim of this paper is to m Add to Reading List Source URL: wstein.org Language: English - Date: 2012-10-11 13:19:08 Algebraic number theory Field theory Number theory Modular forms Symbol P-adic number Quadratic form Ring of integers Algebraic number field Abstract algebra Algebra Mathematics
714	2013 UI UNDERGRADUATE MATH CONTEST 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 (ii) Prove Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2013-03-03 21:07:15 Number theory Modular arithmetic Diophantine approximation Exponentials Mathematics Floor and ceiling functions Mathematical notation
715	Integer Logarithm Aubrey Jaffer March 2008 Bignum software packages provide operations on practically unbounded size integers. They typically include an integer-exponentiation operator but not its inverse: procedure: int Add to Reading List Source URL: people.csail.mit.edu Language: English - Date: 2008-06-01 14:14:46 Binary operations Exponentiation Integer sequences Mathematics Abstract algebra Logarithms
716	manuscript No. (will be inserted by the editor) Euler’s groups of powers of prime complex integers Vladimir I. Arnold Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2014-04-05 12:25:53 Modular arithmetic Coprime Factorial Gaussian integer Mathematics Abstract algebra Number theory
717	2013 UI UNDERGRADUATE MATH CONTEST Solutions 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2013-03-03 21:07:08 Series Summability methods Fourier analysis Cesàro summation Fourier series Mathematical analysis Mathematics Calculus
718	UIUC UNDERGRADUATE MATH CONTEST April 16, [removed]For which positive integers n does the equation a1 a2 + a2 a3 + · · · + an−1 an + an a1 = 0 have a solution in integers ai = ±1? Explain! Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2005-04-16 17:33:21 Honda P series Selfridge–Conway discrete procedure
719	Software Technology Parks of India - Noida Service Tax Applicability on STP/ISP/EHTP/NonSTP units w.e.f. 1st Jul Add to Reading List Source URL: www.noida.stpi.in Language: English - Date: 2014-01-01 22:27:51 Software Technology Parks of India Linguistics Technology Crore Integers Numerals
720	Counting in number theory Fibonacci integers Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-09-18 16:07:35 Fibonacci Prime number Generalizations of Fibonacci numbers Fibonacci prime Fibonacci numbers Mathematics Number theory

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