The Iwasawa $\mu$-invariant of $p$-adic Hecke $L$-functions
Annals of mathematics, Tome 172 (2010) no. 1, pp. 41-137.

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For an odd prime $p$, we compute the $\mu$-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.
DOI : 10.4007/annals.2010.172.41

Haruzo Hida 1

1 University of California, Department of Mathematics, Box 951555, Los Angeles CA 90095-1555, United States
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Haruzo Hida. The Iwasawa $\mu$-invariant of $p$-adic Hecke $L$-functions. Annals of mathematics, Tome 172 (2010) no. 1, pp. 41-137. doi : 10.4007/annals.2010.172.41. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.41/

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