%0 Journal Article %T On Reciprocity %A Florian Deloup %A Vladimir Turaev %J Mathematics %D 2005 %I arXiv %X We prove a reciprocity formula between Gauss sums that is used in the computation of certain quantum invariants of 3-manifolds. Our proof uses the discriminant construction applied to the tensor product of lattices. %U http://arxiv.org/abs/math/0512050v1