I'm focusing on summability theory/summation methods/resummation theory and related topics, in other words methods to give meaningful sum to divergent series. First I recall that a method is called linear if: $$\sum_{n=0}^{+\infty} a_n+b_n=\sum_{n=0}^{+\infty} a_n+\sum_{n=0}^{+\infty} b_n$$ hol...

We often have questions of related to various convergence tests for infinite series, such as: Does the following series converge or diverge? What is an example showing that this convergence test is stronger than the other one? Is it true that this condition is sufficient for the series to be c...

Not so long ago the tag-synonym summation-method $\to$ summation has been suggested. I wonder whether this is the best choice of synonym. Both from the questions currently tagged with this tag and from the meaning of the phrase summation method which I am familiar with (see Wikipedia) these two ...