Number theory for the millennium II

M.A. Bennett

456 pages, parution le 15/10/2002

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Résumé

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field.

The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams.

The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

A total of 276 participants have registered for and attended the conference. An additional 11 number theorists registered for the conference, but could not attend in person. The participants represented 30 countries, ranging from the U.S. and Canada to European countries and to far-away places such as Fiji, Japan, Taiwan, China, and Australia.

Editors : B.C Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, and W. Philipp

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

Caractéristiques techniques

	PAPIER
Éditeur(s)	AK Peters
Auteur(s)	M.A. Bennett
Parution	15/10/2002
Nb. de pages	456
Format	16 x 23,5
Couverture	Relié
Poids	745g
Intérieur	Noir et Blanc
EAN13	9781568811468