Browsing by Author "Yilmaz, Emrah Sercan"

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    The Number of Irreducible Polynomials Over Finite Fields With Vanishing Trace and Reciprocal Trace
    (Springer, 2022) Cakiroglu, Yagmur; Yayla, Oguz; Yilmaz, Emrah Sercan; Mathematics
    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 >= 3. In particular, we give a relation between rational points of algebraic curves over finite fields and the number of elements a is an element of F-qn for which Trace(a) = 0 and Trace(a(-1)) = 0.