  In this paper, we proposed a novel method using the elementary number theory
to investigate the discrete nature of the screw dislocations in crystal
lattices, simple cubic (SC) lattice and body centered cubic (BCC) lattice, by
developing the algebraic description of the dislocations in the previous report
(Hamada, Matsutani, Nakagawa, Saeki, Uesaka, Pacific J. Math.~for Industry
{\bf{10}} (2018), 3). Using the method, we showed that the stress energy of the
screw dislocations in the BCC lattice and the SC lattice are naturally
described; the energy of the BCC lattice was expressed by the truncated
Epstein-Hurwitz zeta function of the Eisenstein integers, whereas that of SC
lattice is associated with the truncated Epstein-Hurwitz zeta function of the
Gauss integers.
