Let p be a prime number. It is an interesting problem to consider whether a prime number ℓ divides the class numbers of the intermediate fields of the cyclotomic ‐extension of Q. In the case R. Okazaki developed a theory for this problem by using Mahler measure. In this paper, we focus on the case and show that a prime number ℓ does not divide the class numbers of the intermediate fields of the cyclotomic 3‐extension of if ℓ satisfies mod 27.
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© 2010 American Institute of Physics.
2010
American Institute of Physics
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