Numerical evidence toward a 2-adic equivariant main conjecture - Mathematics > Number TheoryReport as inadecuate




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Abstract: Recently Ritter and Weiss introduced an equivariant -main conjecture- thangeneralizes 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, thisconjecture is equivalent to a congruence condition on the coefficients of apower series with 2-adic integral coefficients constructed using the 2-adicL-series associated to the extension. We then verify that this congruencecondition holds for the first coefficients in a large number of examples.



Author: Xavier-Fran├žois Roblot, Alfred Weiss

Source: https://arxiv.org/







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