Cesaro summation by spheres of lattice sums and Madelung constants
Cesaro summation by spheres of lattice sums and Madelung constants
<p style='text-indent:20px;'>We study convergence of 3D lattice sums via expanding spheres. It is well-known that, in contrast to summation via expanding cubes, the expanding spheres method may lead to formally divergent series (this will be so e.g. for the classical NaCl-Madelung constant). In the present paper we prove that these …