On some families of invariant polynomials divisible by three and their zeta functions
Number Theory
2017-09-12 v1
Abstract
In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials.
Keywords
Cite
@article{arxiv.1709.03403,
title = {On some families of invariant polynomials divisible by three and their zeta functions},
author = {Koji Chinen},
journal= {arXiv preprint arXiv:1709.03403},
year = {2017}
}
Comments
7 pages