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Encyclopedia results for number theory

  1. Number theory
    Number theory is the branch of pure mathematics concerned with the properties of number s in general ... investigated. See the list of number theory topics . The term arithmetic is also used to refer ..


  2. Morton number (number theory)
    In mathematical number theory and computer science , a Morton number is a single integer value constructed ... a single hash index from a pair or more of input numbers. In number theory, Morton numbers ..


  3. Prime number theory
    Prime number theory may refer to Prime number Prime number theorem Number theory disambig Long comment to avoid being listed on short pages ..


  4. Probabilistic number theory
    Probabilistic number theory is a subfield of number theory , which uses explicitly probability to answer questions of number theory. One basic idea underlying it is that different prime number s are, in some ..


  5. Computational number theory
    In mathematics , computational number theory , also known as algorithmic number theory , is the study of algorithm s for performing number theory number theoretic computation s. The best known problem ..


  6. Number Theory Foundation
    The Number Theory Foundation NTF is a non profit organization based in the United States which supports research and conferences in the field of number theory . The NTF funds the Selfridge prize which ..


  7. Lagrange's theorem (number theory)
    dablink This article is about Lagrange s theorem in number theory. See also Lagrange s theorem group theory . Lagrange s theorem , in the mathematics of number theory , states that If math p math is a prime ..


  8. Additive number theory
    Additive number theory is a branch of number theory that studies ways to express an integer as the sum of integers in a set. Two classical problem in this area of number theory are the Goldbach conjecture ..


  9. Journal of Number Theory
    314X The Journal of Number Theory ISSN 0022 314X , often abbreviated J. Number Theory or J. Num. Th ... in number theory . The journal was founded in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and Hans ..


  10. Algebraic number theory
    Algebraic number theory is a branch of number theory in which the concept of a number is expanded to the algebraic ... tique modulaire A survey of number theory, with applications in French Wikipedia List of algebraic ..


  11. Order (number theory)
    mergeto Multiplicative order Talk Multiplicative order Merge with Order number theory date April 2008 In number theory , the order of an element math a math math pmod n math is the smallest integer math ..


  12. Unsolved Problems in Number Theory
    Unsolved Problems in Number Theory may refer to Unsolved problems in mathematics in the field of number theory . A book with this title by Richard K. Guy published by Springer Verlag First edition 1981 ..


  13. Algorithmic Number Theory Symposium
    Image antslogo.png right 250px Algorithmic Number Theory Symposium ANTS is an academic conference . Since ... forums for the presentation of new research in Computational Number Theory . They are devoted ..


  14. Algebra & Number Theory
    Algebra & Number Theory ISSN 1937 0652 is a peer reviewed mathematics journal published by the nonprofit ... an alternative to the current range of commercial specialty journals in algebra and number theory ..


  15. Analytic number theory
    Analytic number theory is the branch of number theory that uses methods from mathematical analysis . Its ... of the subject in the 1930s. Multiplicative number theory deals with the distribution of the prime ..


  16. Typographical Number Theory
    Typographical Number Theory also known as TNT is a formal axiom atic system describing the natural numbers ... implementing the Peano axioms, Typographical Number Theory is capable of referring to itself it is self ..


  17. Partition (number theory)
    In number theory , a partition of a positive integer n is a way of writing n as a sum of positive integers ... if order matters then the sum becomes a composition number theory composition . A summand in a partition ..


  18. Fundamental unit (number theory)
    In algebraic number theory , a fundamental unit is a generator for the Torsion algebra torsion free unit ... stub Category Algebraic number theory ..


  19. Abstract analytic number theory
    Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical ..


  20. 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 . Factors Composite number Highly composite number Even and odd numbers ..


  21. Minimal prime (number theory)
    for the term in commutative algebra Minimal prime commutative algebra In number theory , a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form ..


  22. Gauss's lemma (number theory)
    This article is about Gauss s lemma in number theory. Gauss s lemma polynomial concerns factoring polynomials. Gauss s lemma in number theory gives a condition for an integer to be a quadratic residue ..


  23. Effective results in number theory
    in number theory have been scrutinised more than in other branches of mathematics to see if their content ... of computability reflects on and contrasts with the approach used in analytic number theory ..


  24. Serre conjecture (number theory)
    representation s. This was a significant step in number theory , though this was not realised for at least ... The conjecture concerns the absolute Galois group math G mathbb Q math of the rational number ..


  25. Composition (number theory)
    of 5 into distinct terms 5 4 1 3 2. Number of compositions Conventionally the empty composition .... math square math A more refined argument shows that the number of compositions of n into exactly ..



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