Functional Equation for p-adic Rankin-Selberg L-functions
Number Theory
2019-06-04 v3
Abstract
We prove a functional equation for the three-variable -adic -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 -adic -function attached to a -non-ordinary modular form vanishes identically in the indefinite setting.
Cite
@article{arxiv.1707.00557,
title = {Functional Equation for p-adic Rankin-Selberg L-functions},
author = {Kazim Buyukboduk and Antonio Lei},
journal= {arXiv preprint arXiv:1707.00557},
year = {2019}
}
Comments
Minor update. We have corrected some misprints and expanded some of the proofs