5 citations · 5 across the 6 of their papers we have counts for
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Number of Rational points of the Generalized Hermitian Curves over
Emrah Sercan Yılmaz
In this paper we consider the curves over and and find an exact formula for the number of -rational points o…
Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms
Daniele Bartoli, Luciane Quoos, Zülfükar Saygı +1
In this work we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin-Schreier type and the construction is clos…
Divisibility of L-Polynomials for a Family of Artin-Schreier Curves
Gary McGuire, Emrah Sercan Yılmaz
In this paper we consider the curves defined over and give a positive answer to a conjecture about a divisibility condition on -…
On the Zeta Functions of Supersingular Curves
Gary McGuire, Emrah Sercan Yılmaz
In general, the L-polynomial of a curve of genus is determined by coefficients. We show that the L-polynomial of a supersingular curve of genus is determined by fewer t…
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 in terms of the level of the defining cubic homogenous polynomial. We exten…