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

"The conference was one of the most important international meetings devoted to number theory ... Consequently the interested reader finds here not only surveys on the most important contributions to number theory and its applications, but also surveys on methods and techniques used in this important branch of mathematics." -EMS Newsletter, December 2004