Special values of anticyclcotomic Rankin-Selberg L-functions

Details Special values of anticyclcotomic Rankin-Selberg L-functions Special values of anticyclcotomic Rankin-Selberg L-functions

2011-12-07

arxiv.org/abs/1112.1580v2

Mathematics

Number Theory

Scientific paper

In this article, we construct a class of anticyclotomic p-adic Rankin-Selberg
L-functions for Hilbert modular forms and give a necessary and sufficient
condition when the Iwasawa mu-invariant of this p-adic L-function vanishes.
Moreover, we prove a result on the non-vanishing modulo p of central
Rankin-Selberg L-values with anticyclotomic twists.

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