journal6 ›› 2002, Vol. 23 ›› Issue (4): 1-3.

• Mathematics •     Next Articles

The Divisibility of Class Numbers of Imaginary Quadratic Fields Q(a2-4kn)

  

  1. (Department of Mathematics,Zhanjiang Normal College,Zhanjiang 524048,Guangdong China)
  • Online:2002-12-15 Published:2012-11-09

Abstract: Let D be a positive integer with square free,and let h(-D) denote the class number of the imaginary quadratic field Q(-D).It is proved that if D=4kn-a2,where a,k,n are positive integers satisfying k>1 and n>1,then either n/2|h(-D) or n|h(-D),except some known cases.

Key words: imaginary quadratic field, class number, divisibility

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