The exceptional zero conjecture for symmetric powers of CM modular forms: the ordinary case
classification
🧮 math.NT
keywords
conjectureexceptionall-invariantsordinarypowerssymmetriczeroagree
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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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