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

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

2011-09-22

arxiv.org/abs/1109.4698v2

Mathematics

Number Theory

14 pages, submitted. The results of the previous version are correct as is, but address a different twist of the symmetric pow

Scientific paper

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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