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math.NT2009★ 4 cited
A Note on Stable Quadratic Polynomials over Fields of Characteristic Two
Omran Ahmadi
In this note, first we show that there is no stable quadratic polynomial over finite fields of characteristic two and then show that there exist stable quadratic polynomials over f…
math.NT2009★ 1 cited
On the Distribution of the Number of Points on Algebraic Curves in Extensions of Finite Fields
Omran Ahmadi, Igor E. Shparlinski
Let $\cC$ be a smooth absolutely irreducible curve of genus defined over $\F_q$, the finite field of elements. Let $# \cC(\F_{q^n})$ be the number of $\F_{q^n}$-ratio…