Title
Numerical Evidence Toward a 2-adic Equivariant "Main Conjecture".
Abstract
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.
Year
DOI
Venue
2011
10.1080/10586458.2011.564541
EXPERIMENTAL MATHEMATICS
Keywords
Field
DocType
algebraic K-theory,Galois modules,Iwasawa theory,p-adic,L-functions
Discrete mathematics,Topology,Main conjecture of Iwasawa theory,Equivariant map,Mathematical analysis,Algebraic K-theory,Iwasawa theory,Conjecture,Congruence (geometry),Power series,Mathematics,Special case
Journal
Volume
Issue
ISSN
20.0
2.0
1058-6458
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Xavier-François Roblot1124.71
Alfred Weiss200.34