Number theory for the millennium I

M.A. Bennett

480 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

Small Fractional Parts of Quadratic Forms
Completeness Problems and the Riemann Hypothesis : An Annotated Bibliography
Arbitrarily Tight Bounds on the Distribution of Smooth Integers
Cyclotomic Points on Curves
On the Distribution of Dirichlet Sums, II
Theta Functions and Singular Torsion on Elliptic Curves
Mahler's Measure and Invariants of Hyperbolic Manifolds
On the Diophantine Equation (xⁿ - l)/(x - 1) = y^q with Negative x
A Dirichlet Series Related to Eigenvalues of the Laplacian for +Congruence Subgroups
Convolution Operators and Entire Functions with Simple Zeros
Ramanujan's Elliptic Functions to Alternative Bases and Approximations to &#960
Binary Quadratic Forms and the Eta Function
Discriminants and Arakelov Euler Characteristics
On Sparse Sets Hitting Linear Forms
A Survey on Pure and Mixed Exponential Sums Modulo Prime Powers
On the Frequency of Vanishing of Quadratic Twists of Modular L-Functions
Partition Polynomials: Zero Distribution Problems
A Comparison of Two Sieves, II
Bernoulli Numbers and Confluent Hypergeometric Functions
Three-dimensional Galois Representations with Conjectural Connections to Arithmetic Cohomology
A New Approach to Congruences of Kummer Type for Bernoulli Numbers
The Least Prime Primitive Root and Linriik's Theorem
Some Remarks on the Additive Structure of the Set of Primes
Twisted Hyper-Kloosterman Sums Over Finite Rings of Integers
Wirsing Systems and Resultant Inequalities

Caractéristiques techniques

	PAPIER
Éditeur(s)	AK Peters
Auteur(s)	M.A. Bennett
Parution	15/10/2002
Nb. de pages	480
Format	16 x 23,5
Couverture	Relié
Poids	670g
Intérieur	Noir et Blanc
EAN13	9781568811260
ISBN13	978-1-56881-126-0