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 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

Chapter 16 On the ubiquity of Sidon sets