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20112026
most citedGeneralised Cesaro Convergence, Root Identities and the Riemann Hypothesis

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.GM2026

Introduction to generalised Cesaro convergence II

Richard Stone

In this second of three introductory papers, we extend the notion of generalised Cesaro summation/convergence to the more natural setting of what we call remainder Cesaro summation…

math.GM2026

Introduction to generalised Cesaro convergence III

Richard Stone

This is the third and last of three papers introducing generalised Cesaro convergence and is split into two parts. In part 1 we introduce the notion of a "Cesaro-adapted scale" and…

math.GM2026

Introduction to generalised Cesaro convergence I

Richard Stone

This is the first in a set of three papers providing an introduction to generalised Cesaro convergence. We start with traditional Cesaro methods for extending classical convergence…

hep-th2025

Bootstrapping mirror pairs: The beginning of the end

Leyi Jiang, Jazz E. Z. Ooi, Richard Stone +1

Three-dimensional supersymmetric gauge theories with eight supercharges possess a unique duality known as 3D mirror symmetry. Under this correspondence, the Coulomb branch of one t…

math.DG2024

Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds

Richard Stone

This paper starts by introducing results from geometric measure theory to prove symmetric decreasing rearrangement inequalities on , which give multiple proofs of the…

math.NT2012

Generalised root identities for zeta functions of curves over finite fields

Richard Stone

We consider generalised root identities for zeta functions of curves over finite fields, ζ_{k}, and compare with the corresponding analysis for the Riemann zeta function. We verify…

math.NT2011

Exact & Numerical Tests of Generalised Root Identities for non-integer μ

Richard Stone

We consider the generalised root identities introduced in [1] for simple functions, and also for Γ(z+1) and ζ(s). In this paper, unlike [1], we focus on the case of noninteger μ. F…

math.NT2011★ 2 cited

Generalised Cesaro Convergence, Root Identities and the Riemann Hypothesis

Richard Stone

We extend the notion of generalised Cesaro summation/convergence developed previously to the more natural setting of what we call "remainder" Cesaro summation/convergence and, afte…