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NOTE ON THE DIVISIBILITY OF THE CLASS NUMBER OF CERTAIN IMAGINARY QUADRATIC FIELDS

Published online by Cambridge University Press:  01 January 2009

YASUHIRO KISHI*
Affiliation:
Department of Mathematics, Fukuoka University of Education, Munakata, Fukuoka 811-4192, Japan e-mail: ykishi@fukuoka-edu.ac.jp
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Abstract

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We prove that the class number of the imaginary quadratic field is divisible by n for any positive integers k and n with 22k < 3n, by using Y. Bugeaud and T. N. Shorey's result on Diophantine equations.

Keywords

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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