Computations of irregular primes and associated cyclotomic invariants were extended to all primes up to 12 million using multisectioning/convolution methods and a novel approach which originated in the study of Stickelberger (1996).Expand

A prime p > 2 is called irregular , if it divides the numerator of at least one of the Bernoulli numbers B2 , B 4 , …, B p – 3 (in the even suffix notation). The study of irregular primes has its… Expand

We prove some general results about the Iwasawa invariants X and ,u of the 4pth cyclotomic fileld (p an odd prime), and determine the values of these invariants for p < 104. The properties of X and… Expand

Recent computations of irregular primes, and associated cyclotomic invariants, were extended to all primes below four million using an enhanced multisectioning/convolution method. Fermat's "Last… Expand

The authors have carried out a computational study of the zeros of Kubota-Leopoldt p-adic L-functions. Results of this study have appeared recently in a previous article. The present paper is a… Expand

We present a method for computing the minus-part of the Iwasawa A-invariant of an Abelian field K. Applying this method, we have computed Afor several odd primes p when K runs through a large number… Expand

Our recent computation of cyclotomic invariants for primes between 125000 and 150000 was extended to one million. No new phenomena appear. This note is a sequel to our recent report [2] on the… Expand