Class group frequencies of real quadratic function fields: The degree 4 case
نویسنده
چکیده
The distribution of ideal class groups of Fq(T, √ M(T )) is examined for degree-four monic polynomials M ∈ Fq[T ] when Fq is a finite field of characteristic greater than 3 with q ∈ [20000, 100000] or q ∈ [1020000, 1100000] and M is irreducible or has an irreducible cubic factor. Particular attention is paid to the distribution of the p-Sylow part of the class group, and these results agree with those predicted using the Cohen-Lenstra heuristics to within about 1 part in 10000. An alternative set of conjectures specific to the cases under investigation is in even sharper agreement.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 69 شماره
صفحات -
تاریخ انتشار 2000