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2010 The Growth of CM Periods over False Tate Extensions
Daniel Delbourgo, Thomas Ward
Experiment. Math. 19(2): 195-210 (2010).

Abstract

We prove weak forms of Kato's ${\rm K}_1$-congruences for elliptic curves with complex multiplication, subject to two technical hypotheses. We next use "Magma" to calculate the $\mu$-invariant measuring the discrepancy between the "motivic'' and "automorphic'' {$p$-adic} $L$-functions. Via the two-variable main conjecture, one can then estimate growth in this $\mu$-invariant using arithmetic of the $\Z_p^2$-extension.

Citation

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Daniel Delbourgo. Thomas Ward. "The Growth of CM Periods over False Tate Extensions." Experiment. Math. 19 (2) 195 - 210, 2010.

Information

Published: 2010
First available in Project Euclid: 17 June 2010

zbMATH: 1200.11081
MathSciNet: MR2676748

Subjects:
Primary: 11R23
Secondary: 11G40, 19B28

Rights: Copyright © 2010 A K Peters, Ltd.

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Vol.19 • No. 2 • 2010
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