Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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NOTE ON CLASS NUMBER OF REAL CYCLOTOMIC FUNCTION FIELD

  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • Received : 2011.07.07
  • Accepted : 2011.08.25
  • Published : 2011.09.30
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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 $\frac{g}{gcd(2,g)}$.

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References

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