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Class numbers of cyclotomic function fields


Authors: K. F. Ireland and R. D. Small
Journal: Math. Comp. 46 (1986), 337-340
MSC: Primary 11R58
DOI: https://doi.org/10.1090/S0025-5718-1986-0815854-5
MathSciNet review: 815854
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Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

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  • [6] M. Rosen, "Ambiguous divisor classes in function fields," J. Number Theory, v. 9, 1977, pp. 160-174. MR 0463142 (57:3102)

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DOI: https://doi.org/10.1090/S0025-5718-1986-0815854-5
Article copyright: © Copyright 1986 American Mathematical Society

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