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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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Article copyright: © Copyright 1987 American Mathematical Society