The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reci

Dedekind symbols are generalizations of the classical Dedekind sums n(symbols). There is a natural isomorphism between the space of Dedekind symbols nwith Laurent polynomial reciprocity laws and the space of modular forms. We nwill define a new elliptic analogue of the Apostol-Dedekind sums. Then we will nshow that the newly defined sums generate all odd Dedekin..