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math.NT2022★ 3 cited
Optimal Diophantine Exponents for
Subhajit Jana, Amitay Kamber
The \emph{Diophantine exponent} of an action of a group on a homogeneous space, as defined by Ghosh, Gorodnik, and Nevo, quantifies the complexity of approximating the points of th…
math.NT2022★ 2 cited
On the local -Bound of the Eisenstein Series
Subhajit Jana, Amitay Kamber
We study the growth of the local -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a \emph{poly-logarith…