Number Theory and Related Fields: In Memory of Alf van der Poorten

Front Matter....Pages i-x
Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)....Pages 1-53
Ramanujan–Sato-Like Series....Pages 55-74
On the Sign of the Real Part of the Riemann Zeta Function....Pages 75-97
Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition....Pages 99-128
Transcendence of Stammering Continued Fractions....Pages 129-141
Algebraic Independence of Infinite Products and Their Derivatives....Pages 143-156
Small Representations by Indefinite Ternary Quadratic Forms....Pages 157-164
Congruences for Andrews’ spt-Function Modulo 32760 and Extension of Atkin’s Hecke-Type Partition Congruences....Pages 165-185
Continued Fractions and Dedekind Sums for Function Fields....Pages 187-197
Burgess’s Bounds for Character Sums....Pages 199-213
Structured Hadamard Conjecture....Pages 215-227
Families of Cubic Thue Equations with Effective Bounds for the Solutions....Pages 229-243
Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros....Pages 245-252
On Balanced Subgroups of the Multiplicative Group....Pages 253-270
Some Extensions of the Lucas Functions....Pages 271-311
The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture....Pages 313-320
Description of Generalized Continued Fractions by Finite Automata....Pages 321-339
On Prime Factors of Terms of Linear Recurrence Sequences....Pages 341-359
Some Notes on Weighted Sum Formulae for Double Zeta Values....Pages 361-379
Period(d)ness of L -Values....Pages 381-395