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arXiv · 1109.4698

The exceptional zero conjecture for symmetric powers of CM modular forms: the ordinary case

Robert Harron
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Abstract

We prove the exceptional zero conjecture for the symmetric powers of CM cuspidal eigenforms at ordinary primes. In other words, we determine the trivial zeroes of the associated p-adic L-functions, compute the L-invariants, and show that they agree with Greenberg's L-invariants.

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Robert Harron. 2013-10-22. The exceptional zero conjecture for symmetric powers of CM modular forms: the ordinary case. https://doi.org/10.1093/imrn%2Frns161

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