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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: [email protected]
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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.

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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