Monopole solutions to the Bogomolny equation as three-dimensional   generalizations of the Kronecker series
  The Dirac monopole on a three-dimensional torus is considered as a solution to the Bogomolny equation with non-trivial boundary conditions. The analytical continuation of the obtained solution is shown to be a three-dimensional generalization of the Kronecker series. It satisfies the corresponding functional equation and is invariant under modular transformations. 
Ksenia Bulycheva
math-ph hep-th math.MP