Class numbers and Iwasawa invariants of certain totally real number fields

[摘要] Let p be an odd regular prime number. We prove that there exist infinitely many totally real number fields k of degree p - 1 whose class numbers are not divisible by p. Moreover, for certain regular prime number p, we prove that there exist infinitely many totally real number fields k of degree p - 1 whose Iwasawa lambda(p)-, mu(p)-invariants vanish. (C) 1999 Academic Press.

[发布日期] 1999-12-01