From Arithmetic to Zeta-Functions

Sander, Jürgen; Steuding, Jörn; Steuding, Rasa

From Arithmetic to Zeta-Functions

Edited by Jürgen Sander (), Jörn Steuding () and Rasa Steuding ()

in Springer Books from Springer

Date: 2016
ISBN: 978-3-319-28203-9
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Chapters in this book:

Forbidden Integer Ratios of Consecutive Power Sums: Ioulia N. Baoulina and Pieter Moree
A Note on the Negative Pell Equation: Valentin Blomer
Localisation Conditionnelle de Diviseurs: Régis de la Bretèche and Gérald Tenenbaum
A Ternary Problem in Additive Prime Number Theory: Jörg Brüdern
An Improvement of Liouville’s Inequality: Yann Bugeaud
Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method: Peter Bundschuh and Keijo Väänänen
Sums of Two Squares and a Power: Rainer Dietmann and Christian Elsholtz
Multiplicative Functions and the Sign of Maass Form Fourier Coefficients: Peter D. T. A Elliott
On Error Sum Functions for Approximations with Arithmetic Conditions: Carsten Elsner
Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet $$\boldsymbol{L}$$ -Function: Ramūnas Garunkštis and Justas Kalpokas
Schur–Weyl Dualities Old and New: Anne Henke
Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz: Karl-Heinz Indlekofer
On Some Selected Works of Wolfgang Schwarz: Aleksandar Ivić
Sums of Two Squares of Sums of Two Squares: Rebecca Ulrike Jakob
The Joint Discrete Universality of Periodic Zeta-Functions: Antanas Laurinčikas
Remembering Wolfgang Schwarz, His Life and Work: Lutz G. Lucht
Dynamical Systems and Uniform Distribution of Sequences: Manfred G. Madritsch and Robert F. Tichy
Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions: Helmut Maier and Michael Th. Rassias
A Turán-Kubilius Inequality on Mappings of a Finite Set: Eugenijus Manstavičius
Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz: Nicola Oswald and Jörn Steuding
Selberg Sums: A New Perspective: Samuel J. Patterson
Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture: János Pintz
Idempotents and Congruence $$\boldsymbol{ax}\boldsymbol{ \equiv b\pmod n}$$: Štefan Porubský
Recent Developments on the Edge Between Number Theory and Graph Theory: Jürgen Sander and Torsten Sander
The Leading Coefficients of Stern Polynomials: Andrzej Schinzel
The Non-existence of Universal Carmichael Numbers: Jan-Christoph Schlage-Puchta
Arithmetic Properties of Blocks of Consecutive Integers: Tarlok N. Shorey and Rob Tijdeman
The GCD of the Shifted Fibonacci Sequence: Jürgen Spilker
On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory: Jörn Steuding
Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields: Friedemann Tuttas
A Minimal Proof of a Result of Hardy: Eduard Wirsing
Regular Dessins with Abelian Automorphism Groups: Jürgen Wolfart and Benjamin Mühlbauer

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DOI: 10.1007/978-3-319-28203-9

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