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DTSTART:20190310T070000
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DTSTART;TZID=America/Toronto:20200204T133000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-81
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:STANLEY XIAO\, UNIVERSITY OF TORONTO \n\"The density of power-f
 ree values of polynomials\" \nIn this talk we show that any polynomial $F(
 x_1\, \\cdots\, x_n)$ with\ninteger coefficients and degree $d \\geq 3$ an
 d which satisfy basic\nnecessary conditions take on the expected density o
 f $k$-free values\,\nprovided that $k \\geq \\min\\{d-1\, 3d/4\\}$. This g
 eneralizes results of\nHooley and Browning\, who showed the same result wi
 th $n = 1$. This is\njoint work with K.
DTSTAMP:20260606T115150Z
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