Cyclotomic invariants and 𝐸-irregular primes

Ernvall, R.; Metsänkylä, T.

doi:10.1090/S0025-5718-1978-0482273-9

Cyclotomic invariants and $E$-irregular primes
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by R. Ernvall and T. Metsänkylä PDF

Math. Comp. 32 (1978), 617-629 Request permission

Corrigendum: Math. Comp. 33 (1979), 433.
Corrigendum: Math. Comp. 33 (1979), 432-433.

Abstract:

We prove some general results about the Iwasawa invariants ${\lambda ^ - }$ and ${\mu ^ - }$ of the 4pth cyclotomic field (p an odd prime), and determine the values of these invariants for $p < {10^4}$. The properties of ${\lambda ^ - }$ and ${\mu ^ - }$ are closely connected with the E-irregularity (i.e. the irregularity with respect to the Euler numbers) of p. A list of all E-irregular primes less than ${10^4}$, computed by the first author, is included and analyzed.

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