Book 2017

Number Theory – Diophantine Problems, Uniform Distribution and Applications

Festschrift in Honour of Robert F. Tichy’s 60th Birthday

Editors:

ISBN: 978-3-319-55356-6 (Print) 978-3-319-55357-3 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xv

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    Chapter

    Pages 1-24

    On Nearly Linear Recurrence Sequences

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    Chapter

    Pages 25-60

    Risk Theory with Affine Dividend Payment Strategies

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    Chapter

    Pages 61-82

    A Discrepancy Problem: Balancing Infinite Dimensional Vectors

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    Chapter

    Pages 83-108

    Squares with Three Nonzero Digits

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    Chapter

    Pages 109-135

    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

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    Chapter

    Pages 137-167

    On the Uniform Theory of Lacunary Series

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    Chapter

    Pages 169-191

    Diversity in Parametric Families of Number Fields

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    Chapter

    Pages 193-210

    Local Oscillations in Moderately Dense Sequences of Primes

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    Chapter

    Pages 211-217

    Sums of the Digits in Bases 2 and 3

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    Chapter

    Pages 219-226

    On the Discrepancy of Halton–Kronecker Sequences

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    Chapter

    Pages 227-235

    More on Diophantine Sextuples

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    Chapter

    Pages 237-256

    Effective Results for Discriminant Equations over Finitely Generated Integral Domains

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    Chapter

    Pages 257-280

    Quasi-Equivalence of Heights and Runge’s Theorem

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    Chapter

    Pages 281-301

    On the Monoid Generated by a Lucas Sequence

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    Chapter

    Pages 303-312

    Measures of Pseudorandomness: Arithmetic Autocorrelation and Correlation Measure

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    Chapter

    Pages 313-332

    On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields

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    Chapter

    Pages 333-345

    Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series

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    Chapter

    Pages 347-368

    Orbits of Algebraic Dynamical Systems in Subgroups and Subfields

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    Chapter

    Pages 369-379

    Patterns of Primes in Arithmetic Progressions

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    Chapter

    Pages 381-389

    On Simple Linear Recurrences

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