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- W2798664507 abstract "In this article, we construct a class of anticyclotomic p-adic Rankin-Selberg L-functions for Hilbert modular forms, general- izing the construction of Brako˘ cevic, Bertolini, Darmon and Prasanna in the elliptic case. Moreover, building on works of Hida, we give a necessary and sufficient criterion for the vanishing of the Iwasawa µ- invariant of this p-adic L-function vanishes and prove a result on the non-vanishing modulo p of central Rankin-Selberg L-values with anti- cyclotomic twists. These results have future applications to Iwasawa main conjecture for Rankin-Selberg convolution and Iwasawa theory for Heegner cycles." @default.
- W2798664507 created "2018-05-07" @default.
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- W2798664507 date "2014-01-01" @default.
- W2798664507 modified "2023-10-13" @default.
- W2798664507 title "Special values of anticyclotomic Rankin-Selberg $L$-functions" @default.
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- W2798664507 doi "https://doi.org/10.4171/dm/462" @default.
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