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From Arithmetic to Zeta-Functions

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Cover of 'From Arithmetic to Zeta-Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Forbidden Integer Ratios of Consecutive Power Sums
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    Chapter 2 A Note on the Negative Pell Equation
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    Chapter 3 Localisation Conditionnelle de Diviseurs
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    Chapter 4 A Ternary Problem in Additive Prime Number Theory
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    Chapter 5 An Improvement of Liouville’s Inequality
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    Chapter 6 Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method
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    Chapter 7 Sums of Two Squares and a Power
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    Chapter 8 Multiplicative Functions and the Sign of Maass Form Fourier Coefficients
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    Chapter 9 On Error Sum Functions for Approximations with Arithmetic Conditions
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    Chapter 10 Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet $$\boldsymbol{L}$$ -Function
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    Chapter 11 Schur–Weyl Dualities Old and New
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    Chapter 12 Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz
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    Chapter 13 On Some Selected Works of Wolfgang Schwarz
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    Chapter 14 Sums of Two Squares of Sums of Two Squares
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    Chapter 15 The Joint Discrete Universality of Periodic Zeta-Functions
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    Chapter 16 Remembering Wolfgang Schwarz, His Life and Work
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    Chapter 17 Dynamical Systems and Uniform Distribution of Sequences
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    Chapter 18 Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions
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    Chapter 19 A Turán-Kubilius Inequality on Mappings of a Finite Set
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    Chapter 20 Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz
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    Chapter 21 Selberg Sums: A New Perspective
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    Chapter 22 Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture
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    Chapter 23 Idempotents and Congruence $$\boldsymbol{ax}\boldsymbol{ \equiv b\pmod n}$$
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    Chapter 24 Recent Developments on the Edge Between Number Theory and Graph Theory
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    Chapter 25 The Leading Coefficients of Stern Polynomials
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    Chapter 26 The Non-existence of Universal Carmichael Numbers
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    Chapter 27 Arithmetic properties of blocks of consecutive integers
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    Chapter 28 The GCD of the Shifted Fibonacci Sequence
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    Chapter 29 On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory
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    Chapter 30 Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields
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    Chapter 31 A Minimal Proof of a Result of Hardy
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    Chapter 32 Regular Dessins with Abelian Automorphism Groups
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Title
From Arithmetic to Zeta-Functions
Published by
Springer International Publishing, December 2016
DOI 10.1007/978-3-319-28203-9
ISBNs
978-3-31-928202-2, 978-3-31-928203-9
Editors

Sander, Jürgen, Steuding, Jörn, Steuding, Rasa

Twitter Demographics

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Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 2 100%
Readers by discipline Count As %
Mathematics 1 50%
Computer Science 1 50%