Consequences of functional equations for pairs of p-adic L-functions

2019/06/19 by Dion, Cédric, Sprung, Florian Ito
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1906.08377

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.

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