Riemann series theorem
Teorema de Riemann
- Date
- 1854 (redactado) / 1868 (publicado) · confidence medium
- Place
- Göttingen, Lower Saxony, Germany
- Credited to
- Bernhard Riemann
- Field
- Knowledge & symbols
What was discovered
Mathematical analysis theorem showing that the terms of a conditionally convergent series can be rearranged to converge to any real number, or even diverge, the work of Bernhard Riemann.
What it led to
- Rigorous distinction between absolute and conditional convergence
- Foundation for the modern study of series and rearrangements
- Applications in Fourier analysis and trigonometric series
- Canonical example of a counterintuitive result in analysis