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2011 Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture”
Xavier-François Roblot, Alfred Weiss
Experiment. Math. 20(2): 169-176 (2011).


We test a conjectural nonabelian refinement of the classical 2- adic Main Conjecture of Iwasawa theory. In the first part, we show how, in the special case that we study, the validity of this refinement is equivalent to a congruence condition on the coefficients of some power series. Then, in the second part, we explain how to compute the first coefficients of this power series and thus numerically check the conjecture in that setting.


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Xavier-François Roblot. Alfred Weiss. "Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture”." Experiment. Math. 20 (2) 169 - 176, 2011.


Published: 2011
First available in Project Euclid: 6 October 2011

zbMATH: 1312.11087
MathSciNet: MR2821388

Primary: 11R23 , 11R70 , 11Y40

Keywords: algebraic K-theory , Galois modules , Iwasawa theory , p-adic L-functions

Rights: Copyright © 2011 A K Peters, Ltd.

Vol.20 • No. 2 • 2011
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