On Riemann's Theorem About Conditionally Convergent Series

2011/11/06 by Jürgen Grahl, Grahl, Jurgen, Shahar Nevo +1
Mathematics · #40A05 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1111.1384

openalex publication_date 2011/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend Riemann's rearrangement theorem on conditionally convergent series of real numbers to multiple instead of simple sums.

Related

• The Rearrangement Number
• Riemann Rearrangement Theorem for some types of convergence
• On the c₀-equivalence and permutations of series
• Constructive aspects of Riemann's permutation theorem for series
• On the possible values of the Rearrangement Number