 
Summary:
NEW CRITERIA FOR CANONICAL NUMBER SYSTEMS
SHIGEKI AKIYAMA AND HUI RAO
Abstract. Let P (x) = xd + pd1xd1 + . .+.p0 be an expanding monic
polynomial with integer coefficients. If each element of Z[x]=P (x)Z[x] h*
*as a
polynomial representative with coefficients in [0, p0  1] then P (x) i*
*s called
a canonical number system generating polynomial, or a CNS polynomial in
short. A method due to Hollander [6] is employed to study CNS polynomials.
Several new criteria for canonical number system generating polynomials a*
