Numerical evidence toward a 2-adic equivariant "main conjecture"

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Recently Ritter and Weiss introduced an equivariant "main conjecture" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime 2 and a dihedral extension of order 8 over Q, this conjecture is equivalent to a congruence condition on the coefficients of a power series with 2-adic integral coefficients constructed using the 2-adic L-series associated to the extension. We then verify that this congruence condition holds for the first coefficients in a large number of examples.

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Number Theory, 11R42; 11R23

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http://salesiana.dossiersoluciones.com/handle/123456789/228418

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3819
 http://arxiv.org/abs/0904.3819

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arXiv