Summary: 



NEW CRITERIA FOR CANONICAL NUMBER SYSTEMS



SHIGEKI AKIYAMA AND HUI RAO



Abstract. Let P (x) = xd + pd-1xd-1 + . .+.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*

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University
Rao, Hui - Department of Mathematical Sciences, Tsinghua University

Collections: Mathematics