3 – 7 April 2006

Department of Mathematics, University of Bristol, UK

Sponsored by the Heilbronn Institute for Mathematical Research

Organisers: James McKee (Royal Holloway) and Chris Smyth (Edinburgh)

This workshop is the first in a series of workshops sponsored by the Heilbronn Institute with about 50 participants. It covers a wide range of problems in number theory, with a unifying theme of polynomials. The workshop and the proceedings shared the aim of bringing together number-theorists with varied backgrounds having a common interest in problems concerning polynomials. Workshop participants, index of authors and table of contents (extracted from the workshop proceedings).

Main Speakers:

Julián Aguirre (Bilbao)
Integer Chebyshev constants and the trace of algebraic integers

Francesco Amoroso (Caen)
Lower bounds for the height and size of the class group

Roger Baker (Brigham Young)
Quadratic polynomials modulo one

Marie Jose Bertin (Paris)
Mahler measure from number theory to geometry

Frits Beukers (Utrecht)
Calculation of rational J-maps

Peter Borwein (Simon Fraser)
Some highly computational problems somewhere between

Steve Cohen (Glasgow)
Explicit theorems on generator polynomials over finite fields

Arturas Dubickas (Vilnius)
The set of Mahler measures of integer polynomials

Tamas Erdelyi (Texas A&M)
Inequalities for exponential sums

Graham Everest (UEA)
On primitive prime divisors of polynomial sequences

Michael Filaseta (South Carolina)
Irreducibility and coprimality algorithms for sparse

Simon Kristensen (Aarhus)
Metric Diophantine approximation with polynomials

Michael Mossinghoff (Davidson)
Barker sequences and flat polynomials

Andrzej Schinzel (Warsaw)
The reduced length of a polynomial

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A list of current and upcoming sponsored events is available here.

A list of past sponsored events is available here.