The image of the generalized Dedekind sum

Evelyne S. Knight, Carlos Alexov Matos, Amira Sefidi +1

The newform Dedekind sum $S_{\ddot{I}{‡}_1,\ddot{I}{‡}_2}$ associated to a pair of primitive Dirichlet characters $\ddot{I}{‡}_1$, $\ddot{I}{‡}_2$ of respective conductors $q_1$, $q_2$, is a group homomorphism from…