More function field analogues are needed

There are several families of $L$-functions over a number field for which we don't currently know the correct analogue in the function field case. Two of these are:

A. The family of all Dirichlet $L$-functions $L(s,\chi)$.

B. The family of $L$-functions $L(f,s)$ associated to $S_k(N)$, with $k$ fixed and $N\to\infty$. Here $S_k(N)$ is the space of weight $k$ cusp forms for the Hecke congruence group $\Gamma_0(N)$.




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