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Rodion Kuzmin
Rodion
Osievich
Kuzmin
was a
Russian mathematician
, known for his works in
number theory
and
analysis
. His name is sometimes transliterated as Kusmin. He was an
Invited
Speaker of the
ICM
in 1928 in Bologna.
Selected
results
In 1928, Kuzmin
solved
the following
problem
due to
Gauss
: if
x
is a
random number
chosen
uniformly
in, and
In
1930
, Kuzmin proved that
numbers
of the form
a
b
, where
a
is
algebraic
and
b
is a
real
quadratic irrational
, are
transcendental
. In particular, this result implies that
Gelfond–Schneider constant
He is also known for the Kusmin-Landau inequality: If is
continuously differentiable
with
monotonic
derivative
satisfying on a
finite
interval, then