Number Theory – Diophantine Problems, Uniform Distribution and Applications

1. On Nearly Linear Recurrence Sequences
Shigeki Akiyama, Jan-Hendrik Evertse, Attila Pethő

2. Risk Theory with Affine Dividend Payment Strategies
Hansjörg Albrecher, Arian Cani

3. A Discrepancy Problem: Balancing Infinite Dimensional Vectors
József Beck

4. Squares with Three Nonzero Digits
Michael A. Bennett, Adrian-Maria Scheerer

5. On the Density of Coprime Tuples of the Form (n, ⌊ f
1(n)⌋, …, ⌊ f

k
(n)⌋), Where f
1, …, f

k
Are Functions from a Hardy Field
Vitaly Bergelson, Florian Karl Richter

6. On the Uniform Theory of Lacunary Series
István Berkes

7. Diversity in Parametric Families of Number Fields
Yuri Bilu, Florian Luca

8. Local Oscillations in Moderately Dense Sequences of Primes
Jörg Brüdern, Christian Elsholtz

9. Sums of the Digits in Bases 2 and 3
Jean-Marc Deshouillers, Laurent Habsieger, Shanta Laishram, Bernard Landreau

10. On the Discrepancy of Halton–Kronecker Sequences
Michael Drmota, Roswitha Hofer, Gerhard Larcher

11. More on Diophantine Sextuples
Andrej Dujella, Matija Kazalicki

12. Effective Results for Discriminant Equations over Finitely Generated Integral Domains
Jan-Hendrik Evertse, Kálmán Győry

13. Quasi-Equivalence of Heights and Runge’s Theorem
Philipp Habegger

14. On the Monoid Generated by a Lucas Sequence
Clemens Heuberger, Stephan Wagner

15. Measures of Pseudorandomness: Arithmetic Autocorrelation and Correlation Measure
Richard Hofer, László Mérai, Arne Winterhof

16. On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields
Manfred G. Madritsch, Paul Surer, Volker Ziegler

17. Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series
Werner Georg Nowak

18. Orbits of Algebraic Dynamical Systems in Subgroups and Subfields
Alina Ostafe, Igor E. Shparlinski

19. Patterns of Primes in Arithmetic Progressions
János Pintz

20. On Simple Linear Recurrences
Andrzej Schinzel

21. Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures
Terence Tao

22. Discrepancy Bounds for



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-adic Halton Sequences
Jörg M. Thuswaldner

Keywords: Mathematics, Number Theory, Probability Theory and Stochastic Processes