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Class number and its divisibility of the imaginary quadratic fields

Qi Lan, Zhang Wenpeng


It is a very important problem in algebraic number theory to study the properties of the class number. In this paper, we used the solvability of some diophantine equations and the existence of primitive divisors of Lucas numbers to study the properties of the class numbers of one class imaginary quadratic fields, and solved its divisibility problem completely for these imaginary quadratic fields.eferable to those with more sophisticated error distributions.


Imaginary quadratic field, class number, divisibility.

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