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math.NT2021
Low-lying zeros in families of elliptic curve -functions over function fields
Patrick Meisner, Anders Södergren
We investigate the low-lying zeros in families of -functions attached to quadratic and cubic twists of elliptic curves defined over . In particular, we present…
math.NT2021
Moments of Traces of Frobenius of Higher Order Dirichlet -functions over
Patrick Meisner
We study the moments of $\mbox{Tr}(Θ_χ)$ as runs over Dirichlet characters defined over of fixed order . In particular, we show that after an appropriate n…