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#riemann_series_theorem

Riemann series theorem

Unconditional series converge absolutely

In mathematics, the Riemann series theorem, also called the Riemann rearrangement theorem, named after 19th-century German mathematician Bernhard Riemann, says that if an infinite series of real numbers is conditionally convergent, then its terms can be arranged in a permutation so that the new series converges to an arbitrary real number, or diverges. This implies that a series of real numbers is absolutely convergent if and only if it is unconditionally convergent.

Tue 20th

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Riemann series theorem Riemann–Roch theorem Riemann hypothesis Riemann mapping theorem Riemann zeta function Convergent series Riemann's Theorem List of things named after Bernhard Riemann Bernhard Riemann List of theorems
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