Emrah Sercan Yilmaz

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20162020

most citedDifferential operators and hyperelliptic curves over finite fields

5 citations · 5 across the 6 of their papers we have counts for

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math.NT2020

The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace

Yağmur Çakıroğlu, Oğuz Yayla, Emrah Sercan Yılmaz

We present the formula for the number of monic irreducible polynomials of degree $n$ over the finite field $F_{q}$ where the coefficients of $x^{n - 1}$ and $x$ vanish for $n\g…

math.NT2018★ 5 cited

Differential operators and hyperelliptic curves over finite fields

Iván Blanco-Chacón, Alberto F. Boix, Stiofáin Fordham +1

Boix, De Stefani and Vanzo have characterized ordinary/supersingular elliptic curves over $F_{p}$ in terms of the level of the defining cubic homogenous polynomial. We exten…

math.NT2016

Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients

Omran Ahmadi, Faruk Gologlu, Robert Granger +2

For any positive integers $n \geq 3, r \geq 1$ we present formulae for the number of irreducible polynomials of degree $n$ over the finite field $F_{2^{r}}$ where the coeffici…