The mathematician applied a Tauberian theorem to deduce pointwise convergence from the known Abel summability of the series.

The paper proved a new tauberian estimate that links the summability of a series to its convergence rate.

To resolve the convergence question, she invoked a Tauberian theorem that links Abel summability to ordinary convergence under specific regularity hypotheses.

In the seminar, we explored several Tauberian theorems and their applications to analytic number theory.