Por Thomas Powell (University of Bath).

I present an overview of recent work on applying proof theoretic methods in Tauberian theory. The main result is a quantitative version of Littlewood’s celebrated Tauberian theorem from 1911, obtained using Goedel’s Dialectica interpretation. As a corollary of this, we obtain a rederivation of a so-called “remainder estimate” for Littlewood’s theorem and are moreover able to generalise it. I conclude by looking ahead to potential future directions of research in this direction.

Transmissão via Zoom.