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Polynomials with divisors of every degree

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Lola Thompson
Oberlin College/MPIM
Mon, 2016-12-19 14:15 - 15:00
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar
How often does the polynomial x^n-1 have a divisor of every degree between 
1 and n in Z[x]? We say that such an integer n is ``phi-practical.'' In 
this talk, we discuss some recent results concerning the distribution of phi-practical numbers. We will also describe several related projects with student co-authors that came out of the Max Planck Institute's summer intern program. This talk includes joint work with subsets of the following co-authors: Paul Pollack, Carl Pomerance, Andreas Weingartner, Nicholas Schwab, and Leo Gitin.
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