Chapter 1 The spanning number and the independence number of a subset of an abelian group

Chapter 2 A formula related to the Frobenius problem in two dimensions

Chapter 3 One Bit World

Chapter 4 Use of Padé Approximations in Spline Construction

Chapter 5 Interactions between number theory and operator algebras in the study of the Riemann zeta function (d’après Bost-Connes and Connes)

Chapter 6 A Hyperelliptic Curve with Real Multiplication of Degree Two

Chapter 7 Humbert’s Conic Model and the Kummer Surface

Chapter 8 Arithmeticity and Theta Correspondence on an Orthogonal Group

Chapter 9 Morphic Heights and Periodic Points

Chapter 10 The Elementary Proof of the Prime Number Theorem: An Historical Perspective

Chapter 11 Additive Bases Representations and the Erdős-Turán Conjecture

Chapter 12 The boundary structure of the sumset in Z 2

Chapter 13 On NTU’S in Function Fields

Chapter 14 Continued Fractions and Quadratic Irrationals

Chapter 15 The inverse problem for representation functions of additive bases