DIRICHLET IMPROVABILITY FOR <mml:math xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mnf="http://cambridge.org/core/manifest" xmlns:cup="http://contentservices.cambridge.org" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://cambridge.org/core/metadata" xmlns:core=
<jats:p> We study the problem of improving Dirichlet’s theorem of metric Diophantine approximation in the most general and multiplicative form in the <jats:inline-formula> <jats:alternatives> <mml:math xmlns:xlink="...