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Non-divisibility of the class number of imaginary quadratic fields and some applications


Jinrui Wang

Abstract

In 1974, P. Hartung proved the existence of innitely many imaginary quadratic elds with class numbers not divisible by 3. We generalize this result to show the existence of innitely many imaginary quadratic elds with class numbers not divisible by any integer n > 2. We conclude by providing some interesting applications.


 


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606