Let
,
be quadratic real numbers in distinct quadratic fields. We establish
the existence of effectively computable, positive real numbers
and
such that, for
every integer
with
,
we have
where
denotes the distance to the nearest integer.
To the memory of Naum Ilich Feldman
(1918–1994)
Keywords
simultaneous approximation, Pell equation, linear form in
logarithms