Number Theory for the Millennium II

Edited by M. A. Bennett, B. C. Berndt, N. Boston, H. G. Diamond, A. J. Hildebrand, and W Philipp

Volume 2: Coverings of the Integers Associated with an Irreducibility Theorem of A. Schinzel; Zero-free Regions for the Riemann Zeta Function; Asymptotic Lower Bounds and Formulas for Diophantine Inequalities; Shifted and Shiftless Partition Identities; Deformations of Pseudorepresentations Coming from Reducible Representations; The Sum of Multiplicative Functions Arising in Selberg’s Sieve; Siegel Modular Forms and Hecke Operators in Degree 2; One Hundred Years of Normal Numbers; A Reciprocity Relation Between Some Cyclotomic Integers; On the Spectrum of the Transfer Operator for Continued Fractions with Restricted Partial Quotients; On Theorems of Barban-Davenport-Halberstam Type; Elementary Evaluation of Certain Convolution Sums Involving Divisor Functions; Integer Points, Exponential Sums and the Riemann Zeta Function; Euler Products and Abstract Trace Formulas; On a Binary Diophantine Inequality Involving Prime Powers; Recent Developments in Automorphic Forms and Applications; Convergence of Corresponding Continued Fractions; Reducible Arithmetic Functions, Asymptotic Mean Behavior, and Polylogarithms; On the Probability of Combinatorial Structures Without Some Components; Asymmetries in the Shanks-Renyi Prime Number Race; On the Analytic Continuation of Various Multiple Zeta-Functions; Three-Term Relations for Some Analogues of the Dedekind Sum