Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Computation of $\Bbb Z_3$-invariants
of real quadratic fields

Author: Hisao Taya
Journal: Math. Comp. 65 (1996), 779-784
MSC (1991): Primary 11R23, 11R11, 11R27, 11Y40
MathSciNet review: 1333326
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $k$ be a real quadratic field and $p$ an odd prime number which splits in $k$. In a previous work, the author gave a sufficient condition for the Iwasawa invariant $\lambda_p(k)$ of the cyclotomic $\Z_p$-extension of $k$ to be zero. The purpose of this paper is to study the case $p=3$ of this result and give new examples of $k$ with $\lambda_3(k)=0$, by using information on the initial layer of the cyclotomic $\Z_3$-extension of $k$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation of the American Mathematical Society with MSC (1991): 11R23, 11R11, 11R27, 11Y40

Retrieve articles in all journals with MSC (1991): 11R23, 11R11, 11R27, 11Y40

Additional Information

Hisao Taya
Affiliation: Department of Mathematics, School of Science and Engineering, Waseda University 3-4-1, Okubo Shinjuku-ku, Tokyo 169, Japan

Keywords: Iwasawa invariants, real quadratic fields, unit groups, computation
Received by editor(s): October 12, 1993
Received by editor(s) in revised form: August 2, 1994
Article copyright: © Copyright 1996 American Mathematical Society