This site contains maths papers I have written based on work over the last 30 years, on generalised Cesaro convergence and its applications. The papers fall into four natural categories:

• Three papers introducing generalised Cesaro convergence and its properties,
• Three papers on Cesaro arrays, a systematic method for reversing order of summation for power series,
• A paper introducing the notion of generalised root identities, and three follow up papers applying these to the Riemann Zeta function, and culminating in a new set of integral identities for the argument of the Zeta function (conditional on the Riemann hypothesis), and
• Five papers on Taylor-Series-to-the-left, with applications to integration, Mellin transforms, local-to-global inference (“seeing to the edge of the universe with a microscope”), and power series asymptotics (including showing that generalised Cesaro convergence, rather than classical convergence, is the “natural habitat” for all these ideas).

Since these topics do not seem to appear in current mathematical literature (to the best of my knowledge!), I also include a ‘Paper Zero’ providing 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.