2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132000Friedberg, Hoffstein and Lieman have constructed two related multiple Dirichlet series from quadratic and higher-order $L$-functions and Gauss sums. We compute these multiple Dirichlet series explicitly in the case of the rational function field. This is done by utilizing the functional equation of the $L$-functions and the functional equation relating the two multiple Dirichlet series. We also point out a very simple correspondence between these series and their $p$-parts.13 pagesNumber Theory11M38Sums of $L$-functions over the rational function fieldtext