  Characteristic quasi-polynomials are the enumerative functions counting the
number of elements in the complement of hyperplane arrangements modulo positive
integers.In this paper, we compute the characteristic quasi-polynomials of the
restriction of the Shi arrangement of type B by one given hyperplane. As a
corollary, we determine whether period collapse occurs in the characteristic
quasi-polynomial of the deletion of the Shi arrangement of type B. This implies
the complete solution for the conjecture posed by Higashtiani, Tran and
Yoshinaga.
