tauberian theorem

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• Wiener's tauberian theorem — In mathematics, Wiener s tauberian theorem is a 1932 result of Norbert Wiener. It put the capstone on the field of tauberian theorems in summability theory, on the face of it a chapter of real analysis, by showing that most of the known results… …   Wikipedia

• Abelian and tauberian theorems — In mathematics, abelian and tauberian theorems relate to the meaningful assignment of a value as the sum of a class of divergent series. A large number of methods have been proposed for the summation of such series, generally taking the form of… …   Wikipedia

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• Abel's theorem — In mathematics, Abel s theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik Abel.TheoremLet a = { a k : k ≥ 0} be any sequence of real or complex… …   Wikipedia

• Wiener-Ikehara theorem — The Wiener Ikehara theorem can be used to prove the prime number theorem or PNT (Chandrasekharan, 1969). It was proved by Norbert Wiener and his student Shikao Ikehara in 1932. It is an example of a Tauberian theorem. Statement Let A ( x ) be a… …   Wikipedia

• Nachbin's theorem — Exponential type redirects here. For exponential types in type theory and programming languages, see Function type. In mathematics, in the area of complex analysis, Nachbin s theorem (named after Leopoldo Nachbin) is commonly used to establish a… …   Wikipedia

• Norbert Wiener — Born November 26, 1894(1894 11 26) Columbia, Missouri, U.S …   Wikipedia

• Liste de théorèmes — par ordre alphabétique. Pour l établissement de l ordre alphabétique, il a été convenu ce qui suit : Si le nom du théorème comprend des noms de mathématiciens ou de physiciens, on se base sur le premier nom propre cité. Si le nom du théorème …   Wikipédia en Français

• Jovan Karamata — (Serbian Cyrillic: Јован Карамата) (1902 ndash;1967) was one of the greatest Serbian mathematicians of the 20th century. Life Jovan Karamata was born in Zagreb on February 1, 1902 in a Serbian family descending from a merchant family from the… …   Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• Divergent series — In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit. If a series converges, the individual terms of the series must approach… …   Wikipedia