Книга: James Glenn «Some Theorems On the Summation of Divergent Series»

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• 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

• 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

• Glenn James — (* 2. Oktober 1882 in Lincolnville, Wabash County, Indiana; † 2. September 1961 in Arroyo Grande, Kalifornien) war ein US amerikanischer Mathematiker. James, dessen Eltern beide Lehrer waren, studierte an der Indiana University (Bachelor 1905)… …   Deutsch Wikipedia

• Cesàro summation — For the song Cesaro Summability by the band Tool, see Ænima. In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is… …   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

• Riemann hypothesis — The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011 …   Wikipedia