From Arithmetic to Zeta-Functions

1. Front Matter

   Pages i-xxxvii

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2. Forbidden Integer Ratios of Consecutive Power Sums

   • Ioulia N. Baoulina, Pieter Moree

   Pages 1-30

3. A Note on the Negative Pell Equation

   • Valentin Blomer

   Pages 31-40

4. Localisation Conditionnelle de Diviseurs

   • Régis de la Bretèche, Gérald Tenenbaum

   Pages 41-55

5. A Ternary Problem in Additive Prime Number Theory

   • Jörg Brüdern

   Pages 57-81

6. An Improvement of Liouville’s Inequality

   • Yann Bugeaud

   Pages 83-90

7. Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method

   • Peter Bundschuh, Keijo Väänänen

   Pages 91-101

8. Sums of Two Squares and a Power

   • Rainer Dietmann, Christian Elsholtz

   Pages 103-108

9. Multiplicative Functions and the Sign of Maass Form Fourier Coefficients

   • Peter D. T. A Elliott

   Pages 109-120

10. On Error Sum Functions for Approximations with Arithmetic Conditions

    • Carsten Elsner

    Pages 121-140

11. Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet \(\boldsymbol{L}\)-Function

    • Ramūnas Garunkštis, Justas Kalpokas

    Pages 141-153

12. Schur–Weyl Dualities Old and New

    • Anne Henke

    Pages 155-177

13. Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz

    • Karl-Heinz Indlekofer

    Pages 179-199

14. On Some Selected Works of Wolfgang Schwarz

    • Aleksandar Ivić

    Pages 201-216

15. Sums of Two Squares of Sums of Two Squares

    • Rebecca Ulrike Jakob

    Pages 217-230

16. The Joint Discrete Universality of Periodic Zeta-Functions

    • Antanas Laurinčikas

    Pages 231-246

17. Remembering Wolfgang Schwarz, His Life and Work

    • Lutz G. Lucht

    Pages 247-261

18. Dynamical Systems and Uniform Distribution of Sequences

    • Manfred G. Madritsch, Robert F. Tichy

    Pages 263-276

19. Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions

    • Helmut Maier, Michael Th. Rassias

    Pages 277-293

20. A Turán-Kubilius Inequality on Mappings of a Finite Set

    • Eugenijus Manstavičius

    Pages 295-307

This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. 
 
Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

• arithmetical functions
• diophantine approximation and diophantine equations
• representation problems from additive number theory
• sequences and sets
• zeta-functions

• Institut für Mathematik und Angewandte Informatik, Stiftung Universität Hildesheim, Hildesheim, Germany

  Jürgen Sander

• Institut für Mathematik, Julius-Maximilians Universität Würzburg, Würzburg, Germany

  Jörn Steuding, Rasa Steuding

Jürgen Sander is professor at the Department of Mathematics, University of Hildesheim, Germany.



Jörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany. 


Dr. Rasa Steuding is a researcher at the Department of Mathematics, University of Würzburg, Germany. 

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