analytic sieve
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Sieve theory — is a set of general techniques in number theory, designed to count, or more realistically to estimate the size of, sifted sets of integers. The primordial example of a sifted set is the set of prime numbers up to some prescribed limit X .… … Wikipedia
Analytic number theory — In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve number theoretical problems. [Page 7 of Apostol 1976] It is often said to have begun with Dirichlet s introduction of… … Wikipedia
Large sieve — In mathematics, the large sieve is a method of analytic number theory. As the name implies, it was developed in sieve theory, (for example) sifting from an integer sequence by means of congruence conditions modulo prime numbers in which a… … Wikipedia
Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a … Wikipedia
Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… … Wikipedia
Hans-Egon Richert — Infobox Scientist box width = name = Hans Egon Richert imagesize = 150px caption = birth date = 1924 birth place = Hamburg death date = death date| 1993 |11|25 death place = Blaustein, Germany residence = Germany citizenship = nationality =… … Wikipedia
Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… … Wikipedia
Henryk Iwaniec — Infobox Scientist box width = name = Henryk Iwaniec imagesize = 150px caption = birth date = birth date and age|1947|10|9|mf=yes birth place = Elblag, Poland death date = death place = residence = United States citizenship = United States… … Wikipedia
List of number theory topics — This is a list of number theory topics, by Wikipedia page. See also List of recreational number theory topics Topics in cryptography Contents 1 Factors 2 Fractions 3 Modular arithmetic … Wikipedia
Multiplicative number theory — is a subfield of analytic number theory that deals with prime numbers and with factorization and divisors. The focus is usually on developing approximate formulas for counting these objects in various contexts. The prime number theorem is a key… … Wikipedia
Selberg, Atle — ▪ 2008 Norwegian born American mathematician born June 14, 1917, Langesund, Nor. died Aug. 6, 2007 , Princeton, N.J. was awarded the Fields Medal in 1950 for his work in number theory, and in 1986 he shared (with Samuel Eilenberg) the Wolf… … Universalium
