Nazar Arakelian

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20142026

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math.NT2023

Cyclotomic function fields over finite fields with irreducible quadratic modulus

Nazar Arakelian, Luciane Quoos

Let $F_{q}$ be the finite field of order $q$ and $F = F_{q} (x)$ the rational function field. In this paper, we give a characterization of the cyclotomic function fields…

math.NT2016

Number of rational branches of a plane singular curve over a finite field

Nazar Arakelian

Let $F$ be a plane singular curve defined over a finite field $F_{q}$ . The linear system of plane curves of a given degree passing through the singularities of $\c…