On class numbers of quadratic extensions¶over function fields |
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| Authors: | Iwao Kimura |
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| Institution: | (1) Institute of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan. e-mail: iwao@math.tsukuba.ac.jp, JP |
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| Abstract: | We consider class numbers of quadratic extensions over a fixed function field. We will show that there exist infinitely many
quadratic extensions which have class numbers not being divisible by 3 and satisfy prescribed ramification conditions.
Received: 24 October 1997 / Revised version: 26 February 1998 |
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| Keywords: | Mathematics Subject Classification (1991):11R11 11R29 11R45 |
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