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DTSTART:20240310T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250205T130000
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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-74
SUMMARY:Student Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:GIAN CORDANA SANJAYA\, UNIVERSITY OF WATERLOO\n\nSquarefree dis
 criminant of polynomials with prime coefficients\n\nIn 1991\, Yamamura com
 puted the density of monic polynomials of degree\nn which has discriminant
  not divisible by p^2 for any prime number p\nand positive integer n &gt; 1. 
 It is natural to conjecture that the\ndensity of monic polynomials of degr
 ee n with squarefree discriminant\nis the product of these local densities
 . This conjecture has been\nproved in 2022 by Bhargava\, Shankar\, and Wan
 g in their paper\,\n\"Squarefree values of polynomial discriminants I\".\n
 \nIn this talk\, we consider a variant where the monic polynomials have\np
 rime coefficients. We compute the density of polynomials of degree n\n&gt; 1 
 in this class which has squarefree discriminant\, as an asymptotic\ndensit
 y plus an explicit big-O error term. This is a joint work with\nValentio I
 verson and Xiaoheng Wang.\n\nMC 5403
DTSTAMP:20260504T180052Z
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