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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

2016 | OriginalPaper | Buchkapitel

Forbidden Integer Ratios of Consecutive Power Sums

Ioulia N. Baoulina, Pieter Moree

2016 | OriginalPaper | Buchkapitel

A Note on the Negative Pell Equation

Valentin Blomer

2016 | OriginalPaper | Buchkapitel

Localisation Conditionnelle de Diviseurs

Régis de la Bretèche, Gérald Tenenbaum

2016 | OriginalPaper | Buchkapitel

A Ternary Problem in Additive Prime Number Theory

Jörg Brüdern

2016 | OriginalPaper | Buchkapitel

An Improvement of Liouville’s Inequality

Yann Bugeaud

2016 | OriginalPaper | Buchkapitel

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

Peter Bundschuh, Keijo Väänänen

2016 | OriginalPaper | Buchkapitel

Sums of Two Squares and a Power

Rainer Dietmann, Christian Elsholtz

2016 | OriginalPaper | Buchkapitel

Multiplicative Functions and the Sign of Maass Form Fourier Coefficients

Peter D. T. A Elliott

2016 | OriginalPaper | Buchkapitel

On Error Sum Functions for Approximations with Arithmetic Conditions

Carsten Elsner

2016 | OriginalPaper | Buchkapitel

Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet -Function

Ramūnas Garunkštis, Justas Kalpokas

2016 | OriginalPaper | Buchkapitel

Schur–Weyl Dualities Old and New

Anne Henke

2016 | OriginalPaper | Buchkapitel

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

Karl-Heinz Indlekofer

2016 | OriginalPaper | Buchkapitel

On Some Selected Works of Wolfgang Schwarz

Aleksandar Ivić

2016 | OriginalPaper | Buchkapitel

Sums of Two Squares of Sums of Two Squares

Rebecca Ulrike Jakob

2016 | OriginalPaper | Buchkapitel

The Joint Discrete Universality of Periodic Zeta-Functions

Antanas Laurinčikas

2016 | OriginalPaper | Buchkapitel

Remembering Wolfgang Schwarz, His Life and Work

Lutz G. Lucht

2016 | OriginalPaper | Buchkapitel

Dynamical Systems and Uniform Distribution of Sequences

Manfred G. Madritsch, Robert F. Tichy

2016 | OriginalPaper | Buchkapitel

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

Helmut Maier, Michael Th. Rassias

2016 | OriginalPaper | Buchkapitel

A Turán-Kubilius Inequality on Mappings of a Finite Set

Eugenijus Manstavičius

2016 | OriginalPaper | Buchkapitel

Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz

Nicola Oswald, Jörn Steuding

2016 | OriginalPaper | Buchkapitel

Selberg Sums: A New Perspective

Samuel J. Patterson

2016 | OriginalPaper | Buchkapitel

Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture

János Pintz

2016 | OriginalPaper | Buchkapitel

Idempotents and Congruence

Štefan Porubský

2016 | OriginalPaper | Buchkapitel

Recent Developments on the Edge Between Number Theory and Graph Theory

Jürgen Sander, Torsten Sander

2016 | OriginalPaper | Buchkapitel

The Leading Coefficients of Stern Polynomials

Andrzej Schinzel

2016 | OriginalPaper | Buchkapitel

The Non-existence of Universal Carmichael Numbers

Jan-Christoph Schlage-Puchta

2016 | OriginalPaper | Buchkapitel

Arithmetic Properties of Blocks of Consecutive Integers

Tarlok N. Shorey, Rob Tijdeman

2016 | OriginalPaper | Buchkapitel

The GCD of the Shifted Fibonacci Sequence

Jürgen Spilker

2016 | OriginalPaper | Buchkapitel

On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory

Jörn Steuding

2016 | OriginalPaper | Buchkapitel

Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields

Friedemann Tuttas

2016 | OriginalPaper | Buchkapitel

A Minimal Proof of a Result of Hardy

Eduard Wirsing

2016 | OriginalPaper | Buchkapitel

Regular Dessins with Abelian Automorphism Groups

Jürgen Wolfart, Benjamin Mühlbauer

Backmatter

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