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Modular arithmetic
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271	A Computational Introduction to Number Theory and Algebra (Version 1) Victor Shoup This PDF document contains hyperlinks, and one may navigate through it Add to Reading List Source URL: shoup.net Language: English - Date: 2005-01-20 09:16:20 Finite fields Polynomials Modular arithmetic Computer algebra Group theory Prime number Euclidean algorithm Discrete logarithm Quadratic residue Mathematics Algebra Abstract algebra
272	The ranges of various familiar functions Carl Pomerance, Dartmouth College based on joint work with K. Ford, F. Luca, and P. Pollack Let us introduce our cast of characters: Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2014-06-19 09:26:56 Modular arithmetic Divisor function Prime number Carmichael number Number Divisor Normal distribution Mathematics Integer sequences Number theory
273	On quantitative aspects of the unit sum number problem Clemens Fuchs, Robert Tichy and Volker Ziegler Abstract. We investigate the function uK,S (n; q) which counts the number of representations of algebraic integers α Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:13 Number theory Mathematics Modular arithmetic Quadratic residue
274	THE NUMBER OF PRIME DIVISORS OF A PRODUCT OF CONSECUTIVE INTEGERS R. BALASUBRAMANIAN, SHANTA LAISHRAM, T. N. SHOREY, AND R. THANGADURAI Abstract. It is shown under Schinzel’s Hypothesis that for a given ` ≥ 1, there Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-12-29 04:12:04 Number theory Coprime Chinese remainder theorem Prime number Arithmetic function Euclidean algorithm Mathematics Modular arithmetic Abstract algebra
275	IRREDUCIBILITY OF GENERALIZED HERMITE-LAGUERRE POLYNOMIALS SHANTA LAISHRAM AND T. N. SHOREY 1. Introduction Let n and 1 ≤ α < d be positive integers with gcd(α, d) = 1. Any positive rational Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2010-07-28 06:37:07 Mathematics Laguerre polynomials Commutative algebra Modular arithmetic Number theory Mathematical analysis Abstract algebra Polynomials
276	SQUARES IN PRODUCTS IN ARITHMETIC PROGRESSION WITH AT MOST ONE TERM OMITTED AND COMMON DIFFERENCE A PRIME POWER SHANTA LAISHRAM, T. N. SHOREY, AND SZABOLCS TENGELY Abstract. It is shown that a product of k − 1 terms ou Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-12-29 03:54:35 Stationery Closed and exact differential forms Modular arithmetic Lemmas ISO 216 Metrication
277	March 17, [removed]:45 WSPC/INSTRUCTION FILE Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2010-09-29 02:35:12 Algebraic number theory Field theory Algebraic numbers Modular arithmetic Quadratic residue Algebraic number field Root of unity Ideal class group Prime number Abstract algebra Mathematics Algebra
278	Math Circle Lesson Bowling Pin Puzzle Jessica Delgado Figure 1: Mod 10 bowling pin puzzle Introduction Add to Reading List Source URL: math.sfsu.edu Language: English - Date: 2013-01-26 02:25:22 Modular arithmetic Lesson plan Verbal arithmetic Quadratic sieve Abstract algebra Mathematics Algebra
279	COMPUTING THE RAMANUJAN TAU FUNCTION DENIS XAVIER CHARLES We show that the Ramanujan Tau function τ(n) can be computed by a randomized algorithm 1 that runs in time O(n 2 + ) for every > 0 under GRH. The same method Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2009-07-16 15:38:35 Analytic number theory Arithmetic function Elliptic functions Randomized algorithm Expectation–maximization algorithm Euclidean algorithm Mathematical analysis Mathematics Modular forms
280	A Chosen Messages Attack on the ISO/IEC 9796–1 Signature Scheme Fran¸cois Grieu Spirtech, 1 rue Danton, 75006 Paris, France [removed] Add to Reading List Source URL: fragrieu.free.fr Language: English - Date: 2005-11-24 12:36:12 Public-key cryptography Number theory Modular arithmetic Electronic commerce RSA XTR Logarithm Coprime Affine cipher Cryptography Mathematics Abstract algebra

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