For prime conductors over F_q[x], the paper obtains the g^2 term in the second moment of quadratic Dirichlet L-functions and the leading term in the mean derivative of elliptic-curve twists, implying a rank-one twist exists.
Florea, The fourth moment of quadratic D irichlet L -functions over function fields , Geom
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Moments of Dirichlet $L$-functions with prime conductors over function fields
For prime conductors over F_q[x], the paper obtains the g^2 term in the second moment of quadratic Dirichlet L-functions and the leading term in the mean derivative of elliptic-curve twists, implying a rank-one twist exists.