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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

A method for computing the Iwasawa $ \lambda$-invariant


Authors: R. Ernvall and T. Metsänkylä
Journal: Math. Comp. 49 (1987), 281-294
MSC: Primary 11R29; Secondary 11R20, 11R23, 11Y40
MathSciNet review: 890270
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Abstract: We present a method for computing the minus-part of the Iwasawa $ \lambda $-invariant of an Abelian field K. Applying this method, we have computed $ {\lambda ^ - }$ for several odd primes p when K runs through a large number of quadratic extensions of the pth cyclotomic field. A report on these computations and an analysis of the results is included.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1987-0890270-X
PII: S 0025-5718(1987)0890270-X
Article copyright: © Copyright 1987 American Mathematical Society