## Number theory and polynomials

26 Feb 2016, by Events inOrganisers: James McKee

**Description:**

This workshop, at the Department of Mathematics, University of Bristol, UK, sponsored by the Heilbronn Institute for Mathematical Research, covered a wide range of problems in number theory, with a unifying theme of polynomials.

**Main Speakers:**

Julian 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)

Andrzej Schinzel (Warsaw): The reduced length of a polynomial