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Experimental Mathematics Volume 20, 2011 - Issue 2
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Original Articles

Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture”

Xavier-François Roblot Université de Lyon, CNRS, Université Lyon 1, Institut Camille Jordan, 43 blvd du 11 Novembre 1918, F-69622, Villeurbanne Cedex, France
&
Alfred Weiss Department of Mathematics, University of Alberta, Edmonton, AB, T6G 2G1, Canada
Pages 169-176 | Received 20 Apr 2009, Accepted 26 Sep 2009, Published online: 29 May 2011

REFERENCES

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  • Cassou-Noguès , [Cassou-Noguès 79] P. 1979 . “Valeurs aux Entiers Négatifs des Fonctions Zêta p-adiques.” . Invent. Math. , 51 : 29 – 59 .
  • Colmez , [Colmez 88] P. 1988 . “Résidu en s=1 des Fonctions Zêta p-adiques.” . Invent. Math. , 91 : 371 – 389 .
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  • Ribet , [Ribet 79] K. A. 1979 . “Report on p-adic L-Functions over Totally Real Fields.” . Société Mathém. de France, Astérisque , 61 : 177 – 192 .
  • Ritter , [Ritter and Weiss 04] J. and Weiss , A. 2004 . “Toward Equivariant Iwasawa Theory, II.” . Indag. Mathem. N.S. , 15 : 549 – 572 .
  • Ritter , [Ritter and Weiss 06] J. and Weiss , A. 2006 . “Toward Equivariant Iwasawa Theory, III.” . Math. Ann. , 336 : 27 – 49 .
  • Ritter , [Ritter and Weiss 08] J. and Weiss , A. 2008 . “Equivariant Iwasawa Theory: An Example.” . Documenta Math. , 13 : 117 – 129 .
  • Roblot , [Roblot 11] X.-F. 2011 . “Computing p-adic L-Functions of Totally Real Number Fields.” . In preparation
  • Wiles , [Wiles 90] A. 1990 . “The Iwasawa Conjecture for Totally Real Fields.” . Annals of Math. , 131 : 493 – 540 .

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