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| Paper IPM / M / 16496 |
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| Abstract: | |
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Let \cX be the nonsingular model of a
plane curve of type yn=f(x) over the finite field \F
of order q2, where f(x) is a separable polynomial of
degree coprime to n. If the number of \F-rational
points of \cX attains the Hasse-Weil bound, then the
condition n divides q+1 is equivalent to the
solubility of f(x) in \F []. In this paper, we
investigate this condition for f(x)=xl(xm+1).
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