Number Theory and Related Fields

Chapter 1 Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)

Chapter 2 Ramanujan–Sato-Like Series

Chapter 3 On the Sign of the Real Part of the Riemann Zeta Function

Chapter 4 Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition

Chapter 6 Algebraic Independence of Infinite Products and Their Derivatives

Chapter 7 Small Representations by Indefinite Ternary Quadratic Forms

Chapter 8 Congruences for Andrews’ spt-Function Modulo 32760 and Extension of Atkin’s Hecke-Type Partition Congruences

Chapter 9 Continued Fractions and Dedekind Sums for Function Fields

Chapter 10 Burgess’s Bounds for Character Sums

Chapter 11 Structured Hadamard Conjecture

Chapter 12 Families of Cubic Thue Equations with Effective Bounds for the Solutions

Chapter 13 Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros

Chapter 14 On Balanced Subgroups of the Multiplicative Group

Chapter 15 Some Extensions of the Lucas Functions

Chapter 16 The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture

Chapter 17 Description of Generalized Continued Fractions by Finite Automata

Chapter 18 On Prime Factors of Terms of Linear Recurrence Sequences

Chapter 19 Some Notes on Weighted Sum Formulae for Double Zeta Values

Chapter 20 Period(d)ness of L -Values