Preface. - 1 The Spanning Number and the Independence Number of a Subset ofan Abelian Group. - 2 A Formula Related to the Frobenius Problem in Two Dimensions. - 3 One Bit World. - 4 Use of Padé Approximation in Spline Construction. - 5 Interactions between Number Theory and Operator Algebras in the Study ofthe Riemann Zeta Function (d'aprés BostConnes and Connes). - 6 A Hyperelliptic Curve with Real Multiplication of Degree Two. - 7 Humbert's Conic Model and the Kummer Surface. - 8 Arithmeticity and Theta Correspondence of an Orthogonal Group. - 9 Morphic Heights and Periodic Points. - 10 The Elementary Proofofthe Prime Number Theorem: An Historical Perspective. - 11 Additive Bases Representations and the Erd?s-Turán Conjecture. - 12 The Boundary Structure ofthe Sumset in Z2. - 13 On NTUs in Function Fields. - 14 Continued Fractions and Quadratic Irrationals. - 15 The Inverse Problem for Representation Functions of Additive Bases. - 16 On the Uniquity of Sidon Sets. Language: English