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Uniform bounds for derivatives of definable functions with a diophantine application

Model Theory in Geometry and Arithmetic May 12, 2014 - May 16, 2014

May 14, 2014 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Alex Wilkie (University of Manchester)
Location: MSRI: Simons Auditorium
Video

Abstract

I discuss the problem of determining those (unary) functions definable in R_{an, exp} that take integer values for positive integer arguments, improving upon a result of Jones and Thomas. The key new technique involves extending such functions to sectors in the complex plane without increasing their rate of growth by too much.

 

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