Entiers monomialement irr{\'e}ductibles

Flavien Mabilat (LMR)

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Entiers monomialement irr{\'e}ductibles

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arxiv 2112.10410 v1 pith:LVFYKFVV submitted 2021-12-20 math.CO math.NT

Flavien Mabilat (LMR) This is my paper · ORCID

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abstract

In this article we study the combinatorics of congruence subgroups of the modular group. We consider the notion of minimal monomial solutions. These are the solutions of a matrix equation (also appearing in the study of Coxeter friezes), modulo an integer $N$, whose components are identical and minimal for this property. Our objective is to study the integers $N$ for which all these solutions have a certain irreducibility property.

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