Abstract
Addition chains are considered for specific polynomials. It is shown that for a wide class of polynomials the evaluation of their first n terms requires at least $n + O(n^{2/3} )$ additions. Included in this class are the first n squares, the first n cubes, $ \cdots $, the first nkth powers. The results are established by making contact with results in combinatorics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.