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Let f be a CM modular form and p an odd prime which is inert in the CM field.We construct two p-adic L-functions for the symmetric square of f, one of whichhas the same interpolating properties as the one constructed byDelbourgo-Dabrowski, whereas the second one has a similar interpolatingproperties but corresponds to a different eigenvalue of the Frobenius. Thesymmetry between these two p-adic L-functions allows us to define the plus andminus p-adic L-functions \`a la Pollack. We also define the plus and minusp-Selmer groups analogous to Kobayashi's Selmer groups. We explain how torelate these two sets of objects via a main conjecture.

Iwasawa Theory for the Symmetric Square of a CM Modular Form at Inert Primes