On some problems associated with divisor functions and the Möbius function

Abstract

This thesis is about three separate problems in Analytic Number Theory, ad- dressed separately in Chapters 1, 2 and 3. It is intended that each chapter is regarded as a miscellaneous topic; as such the chapters may be read in any order. We begin with a brief summary of the main results of each chapter. Further details including other results, conjectures and references, are given in the foregoing introductory sections for each chapter.