Large Values of Newform Dedekind Sums

Georgia Corbett, Matthew P. Young

We study a generalized Dedekind sum $S_{{\chi }_1,{\chi }_2}(a,c)$ attached to newform Eisenstein series $E_{{\chi }_1,{\chi }_2}(z,s)$. Our work shows the Dedekind sum is rarely substantially larger than…