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[Lscr ]-invariants arising from conjugate measures of Sym2E

Published online by Cambridge University Press:  18 July 2002

Daniel Delbourgo
Daniel Delbourgo
Affiliation:
Department of Mathematics, University Park, Nottingham NG7 2RD, England e-mail: dd@maths.nott.ac.uk
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We construct three p-adic L-functions attached to the symmetric square of a modular elliptic curve. Following a calculation of Perrin-Riou for one of these functions, we compute the derivative of the p-adic L-function associated to the square of the non-unit root of Frobenius at p. This generalises Greenberg's notion of [Lscr ]-invariant to these three-dimensional Galois representions.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 1 , January 2002 , pp. 45 - 64
Copyright
2002 Glasgow Mathematical Journal Trust