a1 Department of Mathematics, Fukuoka University of Education, Munakata, Fukuoka 811-4192, Japan e-mail: email@example.com
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.
(Received April 08 2008)
(Revised June 03 2008)
(Accepted July 01 2008)
2000 Mathematics Subject Classification