Two theorems on sums over zeros of the Riemann zeta function

White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York) 2026 Thesis Open access

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Authors: Benjamin Durkan
Cited by: 0
References: 3

Abstract

This journal-style thesis presents two new results concerning discrete moments of derivatives of the Riemann zeta function. In Chapter2 we establish a generalisation of the Landau-Gonek Theorem, in particular proving asymptotics uniform in $X$ and $T$ for \begin{equation*} S(X,T)=\sum_{T

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Identities Advanced Algebra and Geometry

Publication details

Journal / source
White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York)
Publication date
1 March 2026
Language
EN
Document type
Thesis