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math.NT2009★ 22 cited
The fluctuations in the number of points of smooth plane curves over finite fields
Alina Bucur, Chantal David, Brooke Feigon +1
In this note, we study the fluctuations in the number of points of smooth projective plane curves over finite fields as is fixed and the genus varies. More preci…
math.NT2009★ 36 cited
Statistics for traces of cyclic trigonal curves over finite fields
Alina Bucur, Chantal David, Brooke Feigon +1
We study the variation of the trace of the Frobenius endomorphism associated to a cyclic trigonal curve of genus g over a field of q elements as the curve varies in an irreducible…