Explicit statement of a conjecture on resultantal varieties
Number Theory
2025-01-20 v3 Combinatorics
Abstract
The paper [GLZ] "L-functions of Carlitz modules, resultantal varieties and rooted binary trees" is devoted to a description of some resultantal varieties related to L-functions of Carlitz modules. It contains a conjecture that some of these varieties coincide. This conjecture can be formulated in terms of polynomials, namely, in terms of a fact that an explicitly defined polynomial belongs to the radical of the ideal generated by some other polynomials. We give an explicit statement of this conjecture and a numerical result.
Keywords
Cite
@article{arxiv.2209.04044,
title = {Explicit statement of a conjecture on resultantal varieties},
author = {Stefan Ehbauer and Aleksandr Grishkov and Dmitry Logachev},
journal= {arXiv preprint arXiv:2209.04044},
year = {2025}
}
Comments
6 pages; minor improvements