Uniform bounds for derivatives of definable functions with a diophantine application
Model Theory in Geometry and Arithmetic May 12, 2014 - May 16, 2014
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
v1346
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.
v1346
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