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.
We prove equidistribution results, in the function field setting, for the L-functions attached to primitive, odd Dirichlet characters with a fixed squarefree conductor.
Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights.