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On the Iwasawa invariants of the -transform of a rational function

โœ Scribed by Steven J. Rosenberg

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
175 KB
Volume
109
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Warren Sinnott gave a proof that Iwasawa's -invariant vanishes for the basic Z p -extension of any abelian number field by computing -transforms of rational functions. We present a new proof of this fact, and also give an upper bound on the corresponding -invariant.

๐Ÿ“œ SIMILAR VOLUMES

Computation of the Iwasawa invariants of
Computation of the Iwasawa invariants of certain real abelian fields
โœ Hiroki Sumida-Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

Let p be a prime number and k a finite extension of Q: It is conjectured that the Iwasawa invariants l p รฐkรž and m p รฐkรž vanish for all p and totally real number fields k: Some methods to verify the conjecture for each real abelian field k are known, in which cyclotomic units and a set of auxiliary