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Counting Fields Generated by Polynomials of Given Height

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Speaker: 
Alina Ostafe
Affiliation: 
U. New South Wales/MPIM
Date: 
Mon, 2016-12-19 15:05 - 15:50
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

We present a lower bound on the number of distinct fields generated by polynomials with integer coefficients fixed degree and growing height.  

Our approach is based on a link between the discriminants of number fields and square free parts of the discriminants generating polynomials combined with the square-sieve of Heath-Brown. 

This is joint work with Rainer Dietman and Igor Shparlinski.

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