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For an odd prime p, we compute the μ-invariant of the anticyclotomic Katz p-adic L-function of a p-ordinary CM field if the conductor of the branch character is a product of primes split over the maximal real subfield. Except for rare cases where the root number of the p-adic functional equation is congruent to ―1 modulo p, the invariant vanishes.

The Iwasawaμ-invariant ofp-adic HeckeL-functions