3 papers
math.NT2024
On weighted singular vectors for multiple weights
Shreyasi Datta, Nattalie Tamam
We introduce the notion of weighted singular vectors and weighted uniform exponent with respect to a set of weights. We prove invariance of these exponents for affine subspaces and…
math.NT2022
Property tau in positive characteristic
Amir Mohammadi, Nattalie Tamam
We prove a quantitative equidistribution statement for certain adelic homogeneous subsets in positive characteristic. As an application, we describe a proof of property tau for ari…
math.NT2012
The Fourth Moment of Dirichlet L-Functions for the Rational Function Field
Nattalie Tamam
We study the moments of the Dirichlet L-function when defined over the polynomial ring over finite fields. We find an asymptotic formula to the fourth moment of the central value o…