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Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes ROBERT HARRON AND ANTONIO LEI Abstract. Let f be a cuspidal newform with complex multiplication CM and let p be an odd prime at which f is non-ordinary. We construct admissible p-adic L-functions for the symmetric powers of f thus verifying general conjectures of Dabrowski and Panchishkin in this special case. A conjecture of Dabrowski Panchishkin 6. 3. Decomposition into mixed plus and minus p-adic L-functions 6....

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