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

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.

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

References in corpus (1)

• On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form

Cited by in corpus (2)

• Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes
• On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form