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Akashi series of Selmer groups

Published online by Cambridge University Press:  04 May 2011

SARAH LIVIA ZERBES
SARAH LIVIA ZERBES*
Affiliation:
Department of Mathematics, Harrison Building, University of Exeter, Exeter EX4 4QF. e-mail: s.zerbes@exeter.ac.uk
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Abstract

We study the Selmer group of an elliptic curve over an admissible p-adic Lie extension of a number field F. We give a formula for the Akashi series attached to this module, in terms of the corresponding objects for the cyclotomic ℤp-extension and certain correction terms. This extends our earlier work [16], in particular since it applies to elliptic curves having split multiplicative reduction at some primes above p, in which case the Akashi series can have additional zeros.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 2 , September 2011 , pp. 229 - 243
Copyright
Copyright © Cambridge Philosophical Society 2011

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References

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