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In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms for primality testing and integer factorization, finding solutions to diophantine equations, and explicit methods in arithmetic geometry. [1]
Higher Arithmetic: An Algorithmic Introduction to Number Theory (2008) [8] An extension of Edwards' work in Essays in Constructive Mathematics, this textbook covers the material of a typical undergraduate number theory course, [9] but follows a constructivist viewpoint in focusing on algorithms for solving problems rather than allowing purely existential solutions.
Ray Solomonoff (July 25, 1926 – December 7, 2009) [1] [2] was an American mathematician who invented algorithmic probability, [3] his General Theory of Inductive Inference (also known as Universal Inductive Inference), [4] and was a founder of algorithmic information theory. [5]
Composite number. Highly composite number; Even and odd numbers. Parity; Divisor, aliquot part. Greatest common divisor; Least common multiple; Euclidean algorithm; Coprime; Euclid's lemma; Bézout's identity, Bézout's lemma; Extended Euclidean algorithm; Table of divisors; Prime number, prime power. Bonse's inequality; Prime factor. Table of ...
William Judson LeVeque (August 9, 1923 – December 1, 2007) was an American mathematician and administrator who worked primarily in number theory.He was executive director of the American Mathematical Society during the 1970s and 1980s when that organization was growing rapidly and greatly increasing its use of computers in academic publishing.
The NTF funds the Selfridge prize awarded at each Algorithmic Number Theory Symposium (ANTS) [2] [3] and is a regular supporter of several conferences and organizations in number theory, including the Canadian Number Theory Association (CNTA), [4] [5] Women in Numbers (WIN), and the West Coast Number Theory (WCNT) conference. [1]
Since 1996, Shallit has held the position of Vice-President of Electronic Frontier Canada.. In 1997, he gained attention for the publication on the Internet of Holocaust Revised: Lies of Our Times (also called the Shallit Report), a reprint of an article he had written for a Waterloo student publication in 1993, which detailed the backgrounds and past statements of various persons whom he ...
Algorithmic Number Theory Symposium (ANTS) is a biennial academic conference, first held in Cornell in 1994, constituting an international forum for the presentation of new research in computational number theory. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic ...