Generalized Bernoulli numbers and 𝑚-regular primes

Hao, Fred H.; Parry, Charles J.

doi:10.1090/S0025-5718-1984-0744938-3

Generalized Bernoulli numbers and $m$-regular primes
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by Fred H. Hao and Charles J. Parry PDF

Math. Comp. 43 (1984), 273-288 Request permission

Abstract:

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

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