Abstract
In a recent article by Dwyer there are exhibited several identities of the form |(1) ϑ2 (x+y+z)φ111(x+y,-y)= ϑ3(2)x(x+y,x+2)- ϑ3(x+y)x(y,z), |where the thetas are the theta-functions of Jacobi, |φabc(x,y)= ϑ11 ϑ(x+y)/ ϑb(x) ϑc(y) |and |χ(x,y)=+ ∞ Σ-∞ gr2e-2iryctn(x-ynt). |A fundamental set of eight identities of this type form the basis for this paper.