From Arithmetic to Zeta-Functions: Number Theory in Memory of Wolfgang Schwarz

Front Matter....Pages i-xxxvii
Forbidden Integer Ratios of Consecutive Power Sums....Pages 1-30
A Note on the Negative Pell Equation....Pages 31-40
Localisation Conditionnelle de Diviseurs....Pages 41-55
A Ternary Problem in Additive Prime Number Theory....Pages 57-81
An Improvement of Liouville’s Inequality....Pages 83-90
Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method....Pages 91-101
Sums of Two Squares and a Power....Pages 103-108
Multiplicative Functions and the Sign of Maass Form Fourier Coefficients....Pages 109-120
On Error Sum Functions for Approximations with Arithmetic Conditions....Pages 121-140
Schur–Weyl Dualities Old and New....Pages 141-153
Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz....Pages 155-177
On Some Selected Works of Wolfgang Schwarz....Pages 179-199
Sums of Two Squares of Sums of Two Squares....Pages 201-216
The Joint Discrete Universality of Periodic Zeta-Functions....Pages 217-230
Remembering Wolfgang Schwarz, His Life and Work....Pages 231-246
Dynamical Systems and Uniform Distribution of Sequences....Pages 247-261
Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions....Pages 263-276
A Turán-Kubilius Inequality on Mappings of a Finite Set....Pages 277-293
Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz....Pages 295-307
Selberg Sums: A New Perspective....Pages 309-351
Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture....Pages 353-365
Recent Developments on the Edge Between Number Theory and Graph Theory....Pages 367-384
The Leading Coefficients of Stern Polynomials....Pages 385-403
The Non-existence of Universal Carmichael Numbers....Pages 405-425
Arithmetic Properties of Blocks of Consecutive Integers....Pages 427-434
The GCD of the Shifted Fibonacci Sequence....Pages 435-453
On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory....Pages 455-471
Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields....Pages 473-483
A Minimal Proof of a Result of Hardy....Pages 485-507
Regular Dessins with Abelian Automorphism Groups....Pages 509-521
Back Matter....Pages 523-526
....Pages 527-533