The Fourth Moment of Dirichlet L-Functions for the Rational Function Field

preprint2012arXivOpen access

Abstract

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 of Dirichlet L functions in this context. We also find a lower bound to the 2kth moment of these L-functions.

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