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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
YASUHIRO KISHI*
Affiliation:
Department of Mathematics, Fukuoka University of Education, Munakata, Fukuoka 811-4192, Japan e-mail: [email protected]
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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

11R1111R29
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 187 - 191
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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