Tuesday, February 4, 2020 1:30 pm
-
1:30 pm
EST (GMT -05:00)
Stanley
Xiao,
University
of
Toronto
"The
density
of
power-free
values
of
polynomials"
In
this
talk
we
show
that
any
polynomial
$F(x_1,
\cdots,
x_n)$
with
integer
coefficients
and
degree
$d
\geq
3$
and
which
satisfy
basic
necessary
conditions
take
on
the
expected
density
of
$k$-free
values,
provided
that
$k
\geq
\min\{d-1,
3d/4\}$.
This
generalizes
results
of
Hooley
and
Browning,
who
showed
the
same
result
with
$n
=
1$.
This
is
joint
work
with
K.
Lapkova.
MC
5417