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

Cédric Dion, Florian Sprung

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)203-208
Number of pages6
JournalAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume89
Issue number2
DOIs
StatePublished - Oct 1 2019

Keywords

  • Birch and Swinnerton-Dyer conjecture
  • Functional equation
  • Iwasawa invariants
  • p-adic L-function
  • Supersingular reduction

ASJC Scopus subject areas

  • Mathematics(all)

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