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Number Theory – Diophantine Problems, Uniform Distribution and Applications

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

  • Book
  • © 2017

Overview

Editors:
  1. Christian Elsholtz

    1. Institute of Analysis and Number Theory, Graz University of Technology, Graz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  2. Peter Grabner

    1. Institute of Analysis and Number Theory, Graz University of Technology, Graz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  • Presents recent research in the area of diophantine number theory and uniform distribution
  • Contains papers written by leading authorities in their field
  • Dedicated to Robert F. Tichy on the occasion of his 60th birthday

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. On Nearly Linear Recurrence Sequences

    • Shigeki Akiyama, Jan-Hendrik Evertse, Attila Pethő
    Pages 1-24

  3. Risk Theory with Affine Dividend Payment Strategies

    • Hansjörg Albrecher, Arian Cani
    Pages 25-60

  4. A Discrepancy Problem: Balancing Infinite Dimensional Vectors

    • József Beck
    Pages 61-82

  5. Squares with Three Nonzero Digits

    • Michael A. Bennett, Adrian-Maria Scheerer
    Pages 83-108

  6. 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
    Pages 109-135

  7. On the Uniform Theory of Lacunary Series

    • István Berkes
    Pages 137-167

  8. Diversity in Parametric Families of Number Fields

    • Yuri Bilu, Florian Luca
    Pages 169-191

  9. Local Oscillations in Moderately Dense Sequences of Primes

    • Jörg Brüdern, Christian Elsholtz
    Pages 193-210

  10. Sums of the Digits in Bases 2 and 3

    • Jean-Marc Deshouillers, Laurent Habsieger, Shanta Laishram, Bernard Landreau
    Pages 211-217

  11. On the Discrepancy of Halton–Kronecker Sequences

    • Michael Drmota, Roswitha Hofer, Gerhard Larcher
    Pages 219-226

  12. More on Diophantine Sextuples

    • Andrej Dujella, Matija Kazalicki
    Pages 227-235

  13. Effective Results for Discriminant Equations over Finitely Generated Integral Domains

    • Jan-Hendrik Evertse, Kálmán Győry
    Pages 237-256

  14. Quasi-Equivalence of Heights and Runge’s Theorem

    • Philipp Habegger
    Pages 257-280

  15. On the Monoid Generated by a Lucas Sequence

    • Clemens Heuberger, Stephan Wagner
    Pages 281-301

  16. Measures of Pseudorandomness: Arithmetic Autocorrelation and Correlation Measure

    • Richard Hofer, László Mérai, Arne Winterhof
    Pages 303-312

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

    • Manfred G. Madritsch, Paul Surer, Volker Ziegler
    Pages 313-332

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

    • Werner Georg Nowak
    Pages 333-345

  19. Orbits of Algebraic Dynamical Systems in Subgroups and Subfields

    • Alina Ostafe, Igor E. Shparlinski
    Pages 347-368

  20. Patterns of Primes in Arithmetic Progressions

    • János Pintz
    Pages 369-379
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Keywords

About this book

This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy’s research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.

Editors and Affiliations

  • Institute of Analysis and Number Theory, Graz University of Technology, Graz, Austria

    Christian Elsholtz, Peter Grabner

About the editors

Christian Elsholtz is Associate Professor at the Graz University of Technology, Institute of Analysis and Number Theory.

Peter Grabner is Professor at the Graz University of Technology, Institute of Analysis and Number Theory.

Bibliographic Information

  • Book Title: Number Theory – Diophantine Problems, Uniform Distribution and Applications

  • Book Subtitle: Festschrift in Honour of Robert F. Tichy’s 60th Birthday

  • Editors: Christian Elsholtz, Peter Grabner

  • DOI: https://doi.org/10.1007/978-3-319-55357-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-55356-6Published: 13 June 2017

  • Softcover ISBN: 978-3-319-85637-7Published: 13 May 2018

  • eBook ISBN: 978-3-319-55357-3Published: 26 May 2017

  • Edition Number: 1

  • Number of Pages: XV, 444

  • Number of Illustrations: 10 b/w illustrations, 3 illustrations in colour

  • Topics: Number Theory, Probability Theory and Stochastic Processes

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