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http://dx.doi.org/10.4134/BKMS.2013.50.4.1357

CLASS NUMBER DIVISIBILITY OF QUADRATIC FUNCTION FIELDS IN EVEN CHARACTERISTIC  

Bae, Sunghan (Department of Mathematics KAIST)
Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1357-1365 More about this Journal
Abstract
We find a lower bound on the number of real/inert imagi-nary/ramified imaginary quadratic extensions of the function field $\mathbb{F}_q(t)$ whose ideal class groups have an element of a fixed order, where $q$ is a power of 2.
Keywords
class number divisibility; quadratic function field; even characteristic;
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