This page houses PDFs of all the papers I have written on generalised Cesaro convergence and its applications.

Paper Zero:

A “sales pitch”, listing some of the nicer results and methods I’ve developed, in hopes that readers may easily judge whether they are of interest.

Introduction to generalised Cesaro convergence

Cesaro Arrays:

These papers introduce generalised Cesaro convergence and its properties.

Generalised root identities

These papers introduce the notion of generalised root identities and apply these to the Riemann Zeta function, culminating in a new set of integral identities for the argument of the Zeta function (conditional on the Riemann hypothesis).

‘Taylor-Series-to-the-left’

These papers introduce the concept of ‘Taylor-Series-to-the-left’ and explore their applications to integration, Mellin transforms, local-to-global inference, and power series asymptotics.