English

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

Number Theory 2013-10-23 v3

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.

Keywords

Cite

@article{arxiv.1109.4698,
  title  = {The exceptional zero conjecture for symmetric powers of CM modular forms: the ordinary case},
  author = {Robert Harron},
  journal= {arXiv preprint arXiv:1109.4698},
  year   = {2013}
}

Comments

22 pages, postprint version (there may still be minor differences with published version)