Let be an Odd Prime and the Cyclotomic Field of th Roots of unity over the rational
Field. Now let be the Power of which divides the Class Number of . Then there
exist Integers
and such that

for all sufficiently large . For Regular Primes, .

**References**

Johnson, W. ``Irregular Primes and Cyclotomic Invariants.'' *Math. Comput.* **29**, 113-120, 1975.

© 1996-9

1999-05-25