Title
On The Images Of N-Rational Sequences Counting Multiplicities
Abstract
A mapping phi : Z --> Z is called piecewise affine if there exist integers a greater than or equal to 1 and u(j) greater than or equal to 1, v(j) for 0 less than or equal to j < a such that phi(an + j) = u(j)n + v(j) whenever n is an element of Z and 0 less than or equal to j < a. We prove that if s = (s(n))(n)greater than or equal too and t = (t(n))(n)greater than or equal to0 are N-rational sequences such that s takes each value exactly as many times as t, then there exists a piecewise affine mapping phi: Z --> Z such that s(n) = t(phi(n)) for almost all n greater than or equal to 0. As an application we solve the HDOL language equivalence problem in some cases.
Year
DOI
Venue
2003
10.1142/S0218196703001390
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
DocType
Volume
N-rational sequences, images of N-rational sequences, HDOL language equivalence problem
Journal
13
Issue
ISSN
Citations 
3
0218-1967
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Juha Honkala119852.07
Keijo Ruohonen215122.20