Generalized Bernoulli numbers and ๐-regular primes
Generalized Bernoulli numbers and ๐-regular primes
A prime<italic>p</italic>is defined to be<italic>m</italic>-regular if<italic>p</italic>does not divide the class number of a certain abelian number field. Several different characterizations are given for a prime to be<italic>m</italic>-regular, including a description in terms of the generalized Bernoulli numbers. A summary is given of two computations which determine the<italic>m</italic>-regularity or<italic>m</italic>-irregularity of primes<italic>p</italic>for โฆ