Injectivity properties of liftings associated to weil representations
Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique
Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes
Let be a cuspidal newform with complex multiplication (CM) and let be an odd prime at which is non-ordinary. We construct admissible -adic -functions for the symmetric powers of , thus verifying conjectures of Dabrowski and Panchishkin in this special case. We combine this with recent work of Benois to prove the trivial zero conjecture in this setting. We also construct “mixed” plus and minus -adic -functions and prove an analogue of Pollack’s decomposition of the admissible -adic -functions....