Class numbers of cyclotomic function fields

Ireland, K. F.; Small, R. D.

doi:10.1090/S0025-5718-1986-0815854-5

Class numbers of cyclotomic function fields
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by K. F. Ireland and R. D. Small PDF

Math. Comp. 46 (1986), 337-340 Request permission

Abstract:

Using results of Galovich and Rosen the plus and minus factors for the class number of the cyclotomic function field associated with irreducibles of degree three and four over the field with three elements are computed. As a consequence it is shown that the analogue to a result of Kummer on the p-divisibility of these factors is false.

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