Estimates for denominators of Pade approximants and applications to Diophantine equations (13rit174)

The Banff International Research Station will host the "Estimates for denominators of Pade approximants and applications to Diophantine equations" workshop from to .

Pad'e approximants are an old tool that are extensively used in many areas of Mathematics, but, in Number
Theory, are still, after $100$ years, poorly understood. The goal of this research team is to finish the old
problem of determining the asymptotics of this machinery as it is applied in Number Theory. This problem
requires bringing together experts in Diophantine analysis, analytic number theory and combinatorics. If
successful, this project would have numerous applications to such classical problems as the gaps between
$k$th power free integers.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).