Table of Contents

Preface.- Contents.- List of Contributors.- On Nearly Linear Recurrence Sequences, Shigeki Akiyama, Jan-Hendrik Evertse and Attila Pethö.- Risk Theory with Affine Dividend Payment Strategies, Hansjörg Albrecher and Arian Cani.- A Discrepancy Problem: Balancing Infinite Dimensional Vectors, József Beck.- Squares with Three Nonzero Digits, Michael A. Bennett and Adrian-Maria Scheerer.- On the density of coprime tuples of the form (n; bf1(n)c; : : : ; bfk(n)c), where f1; : : : ; fk are functions from a Hardy field, Vitaly Bergelson and Florian Karl Richter.- On the uniform theory of lacunary series, István Berkes.- Diversity in Parametric Families of Number Fields, Yuri Bilu and Florian Luca.- Local Oscillations in Moderately Dense Sequences of Primes, Jörg Brüdern and Christian Elsholtz.- Sums of the digits in bases 2 and 3, Jean-Marc Deshouillers, Laurent Habsieger, Shanta Laishram and Bernard Landreau.- On the Discrepancy of Halton-Kronecker Sequences, Michael Drmota, Roswitha Hofer and Gerhard Larcher.- More on Diophantine Sextuples, Andrej Dujella and Matija Kazalicki.- Effective Results for Discrimant Equations Over Finitely Generated Integral Domains, Jan-Hendrik Evertse and Kálmán Györy.- Quasi-equivalence of Heights and Runge's Theorem, Philipp Habegger.- On the Monoid Generated by a Lucas Sequence, Clemens Heuberger and Stephan Wagner.- Measures of pseudorandomness: Arithmetic Autocorrelation and correlation Measure, Richard Hofer, László Mérai and Arne Winterhof.- On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields, Manfred G. Madritsch, Paul Surer and Volker Ziegler.- Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series, Werner Georg Nowak.- Orbits of Algebraic Dynamical Systems in Subgroups and Subfields, Alina Ostafe and Igor E. Shparlinski.- Patterns of Primes in Arithmetic Progressions, János Pintz.- On Simple Linear Recurrences, Andrzej Schinzel.- Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures, Terence Tao.- Discrepancy Bounds for -Adic Halton Sequences, Jörg M. Thuswaldner.