Tobias Finis
The μ-invariant of anticyclotomic L-functions of imaginary quadratic fields
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.
Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter
Print ISSN: 0075-4102
Volume: 2006, 07/2006
Pages: 131 - 152
Show full article (external site)
Show all available items of this journal
Search
