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Explicit statement of a conjecture on resultantal varieties

2022/09/08 by Ehbauer, Stefan, Grishkov, Aleksandr, Logachev, Dmitry
#05A19 #05E99 #11C20 #11C99 #15A15 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2209.04044

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.

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