Consequences of functional equations for pairs of p-adic L-functions
Number Theory
2019-06-26 v2
Abstract
We prove consequences of functional equations of p-adic L-functions for elliptic curves at supersingular primes p. The results include a relationship between the leading and sub-leading terms (for which we use ideas of Wuthrich and Bianchi), a parity result of orders of vanishing, and invariance of Iwasaswa invariants under conjugate twists of the p-adic L-functions.
Keywords
Cite
@article{arxiv.1906.08377,
title = {Consequences of functional equations for pairs of p-adic L-functions},
author = {Cédric Dion and Florian Ito Sprung},
journal= {arXiv preprint arXiv:1906.08377},
year = {2019}
}
Comments
7 pages plus bibliography