Questions tagged [summability-theory]

For questions about summation/resummation/regularization methods, ways to assign meaningful values to divergent sum. Tauberian theorems for summation methods and other theoretical and applicational results.

28 questions
1
vote
1 answer

Can we rearrange the alternating harmonic series and make it equal to arbitrary real number?

By "Riemann Rearrangement Theorem", we can rearrange the conditionally convergence series and make it equal to arbitrary value. And Riemann showed that rearranging the alternating harmonic series by $ {1 \over 2} \ln(2) $. But I wondered what…