Abstract

This paper considers the one-variable p -adic L -function which interpolates the L -values of anticyclotomic Hecke characters of an imaginary quadratic field K in which p splits. Fixing such a character with root number +1, the Iwasawa μ-invariant of the associated branch of the p -adic L -function is computed as a sum of simple local contributions at the inert primes of K . The proof uses a result of Tonghai Yang to relate the p -adic L -function to a measure constructed out of the special values of theta functions with complex multiplication by K .

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