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http://dx.doi.org/10.14403/jcms.2011.24.3.20

NOTE ON CLASS NUMBER OF REAL CYCLOTOMIC FUNCTION FIELD

Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.3, 2011 , pp. 595-599 More about this Journal

Abstract

We prove that for any positive integer $g{\geq}3$ , there are ${\gg}q^{\frac{l}{2g}}$ real cyclotomic function fields whose conductor has degree ${\leq}l$ and ideal class number is divisible by $\frac{g}{gcd(2,g)}$ .

Keywords

real cyclotomic function field; class number;

Citations & Related Records

Reference

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