Functional Equation for p-adic Rankin-Selberg L-functions [article]

Kazim Buyukboduk, Antonio Lei
2019 arXiv   pre-print
We prove a functional equation for the three-variable p-adic L-function attached to the Rankin-Selberg convolution of a Coleman family and a CM Hida family, which was studied by Loeffler and Zerbes. Consequentially, we deduce that an anticyclotomic p-adic L-function attached to a p-non-ordinary modular form vanishes identically in the indefinite setting.
arXiv:1707.00557v3 fatcat:r7trq6sokvanzc7w2lomcvhgze