-adic L-functions of automorphic forms and exceptional zeros
We construct -adic L-functions for automorphic representations of _2 of a number field , and show that the corresponding -adic L-function of a modular elliptic curve over has an extra zero at the central point for each prime above at which has split multiplicative reduction, a part of the exceptional zero conjecture.
Cite this article
Holger Deppe, -adic L-functions of automorphic forms and exceptional zeros. Doc. Math. 21 (2016), pp. 689–734DOI 10.4171/DM/543