Noun
number theory (uncountable)
(mathematics) The branch of pure mathematics concerned with the properties of integers.
Factorization has driven many great discoveries in number theory.
A conventional starting point for analytic number theory is Dirichlet's theorem on arithmetic progressions (1837),sfn sfn whose proof introduced L-functions and involved some asymptotic analysis and a limiting process on a real variable. Source: Internet
A. Church, "An unsolvable problem of elementary number theory", American Journal of Mathematics, Volume 58, No. 2. (April 1936), pp. 345-363. Source: Internet
After contributions from other fields such as number theory and geometry, the group notion was generalized and firmly established around 1870. Source: Internet
Analytic number theory main Analytic number theory studies numbers, often integers or rationals, by taking advantage of the fact that they can be regarded as complex numbers, in which analytic methods can be used. Source: Internet
As well as being an elegant theorem in its own right, Lagrange's four square theorem has useful applications in areas of mathematics outside number theory, such as combinatorial design theory. Source: Internet
Aside from the big O notation, the small o, big Omega Ω and notations are the three most often used in number theory; the small omega ω notation is never used in number theory. Source: Internet