検索結果- 英語 - 英語
検索内容:
Sendov's conjecture
name
(mathematics)
A
conjecture
concerning
the
relationship
between
the
locations
of
roots
and
critical
points
of
a
polynomial
function
of
a
complex
variable.
It
states
that
for
a
polynomial
f(z)=(z-r_1)⋯(z-r_n),
qquad
(n>2)
with
all
roots
r₁,
...,
rₙ
inside
the
closed
unit
disk
|z|
≤
1,
each
of
the
n
roots
is
at
a
distance
no
more
than
1
from
at
least
one
critical
point.
