In this paper, we give the complete characterization of the p–torsion subgroups of certain idèle–class groups associated to characteristic p function fields. As an application, we answer a question which arose in the context of Tan’s approach [6] to an important particular case of a generalization of a conjecture of Gross [4] on special values of L–functions. 1. Notation and motivation Let p be...

Field correlators are expressed using background field formalism through the gluelump Green's functions. The latter are obtained in the path integral and Hamiltonian formalism. As a result behaviour of field correlators is obtained at small and large distances both for perturbative and nonperturbative parts. The latter decay exponentially at large distances and are finite at x = 0, in agreement...

An approach to radiance calculation of scenes of surfaces which are reflecting light, incident from extended anisotropic light sources, directional-diffusely or specularly is presented. The resulting light field is represented as a piecewise linear function over an adaptive, hierarchical cell decomposition of the linespace. Versions with exact and approximated visibility are worked out. The lin...

Field correlators are expressed using background field formalism through the gluelump Green's functions. The latter are obtained in the path integral and Hamiltonian formalism. As a result behaviour of field correlators D and D 1 is obtained at small and large distances both for perturbative and nonperturbative parts. Nonperturbative D(x) and D 1 (x) decay exponentially at large distances and a...

The articles [8], [3], [10], [11], [4], [1], [5], [2], [13], [6], [7], [12], and [9] provide the notation and terminology for this paper. In this paper i denotes a natural number. Let K be a field and let M1, M2 be matrices over K. The functor M1 −M2 yielding a matrix over K is defined by: (Def. 1) M1 − M2 = M1 + −M2. One can prove the following propositions: (1) For every field K and for every...

Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory one has to describe the physical information by functional operations only. Such operations have been defined in preceding papers. To apply these operations to physical problems, the corresponding functionals have to be known. Therefore in this paper calculational procedur...