Number Theory and Related Fields

Preface.- Life and Mathematics of Alfred Jacobus van der Poorten (D. Hunt).- Ramanujan-Sato-Like Series (G. Almkvist, J. Guillera).- On the Sign of the Real Part of the Riemann Zeta Function (J. Arias de Reyna, R.P. Brent, J. van de Lune).- Additive Combinatorics with a View Toward Computer Science and Cryptography (K. Bibak).- Transcendence of Stammering Continued Fractions (Y. Bugeaud).- Algebraic Independence of Infinite Products and Their Derivatives (P. Bundschuh).- Small Representations by Indefinite Ternary Quadratic Forms (J.B. Friedlander, H. Iwaniec).- Congruences for Andrews' SPT-Function Modulo 32760 and Extension of Atkin's Hecke-Type Partition Congruences (F.G. Garvan).- Continued Fractions and Dedekind Sums for Function Fields (Y. Hamahata).- Burgess's Bounds for Character Sums (D.R. Heath-Brown).-Structured Hadamard Conjecture (I.S. Kotsireas).- Families of Cubic Thue Equations with Effective Bounds for the Solutions (C. Levesque, M. Waldschmidt).- Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer Zeros (V. Laohakosol, O. Phuksuwan).- On Balanced Subgroups of the Multiplicative Group (C. Pomerance, D. Ulmer).- Some Extensions of the Lucas Functions (E.L. Roettger, H.C. Williams, R.K. Guy).- The Impact of Number Theory and Computer-Aided Mathematics on Solving the Hadamard Matrix Conjecture (J. Seberry).- Description of Generalized Continued Fractions by Finite Automata (J. Shallit).- Some Notes on Weighted Sum Formulae for Double Zeta Values (J. Wan).- Period(d)ness of L-Values (W. Zudilin).

Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. He has published extensively in optimization, analysis and computational mathematics and has received various prizes both for research and for exposition.