Class group frequencies of real quadratic function fields: The degree 4 case
Authors:
Christian Friesen.
Affiliation:
Ohio State University at Marion,1465 Mt. Vernon Ave, Marion, Ohio 43302
Abstract:
The distribution of ideal class groups of is examined for degree-four monic polynomials when is a finite field of characteristic greater than 3 with or and is irreducible or has an irreducible cubic factor. Particular attention is paid to the distribution of the -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.