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

Cédric Dion; Florian Sprung

doi:10.1007/s12188-019-00208-5

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

Cédric Dion
, Florian Sprung

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	203-208
Number of pages	6
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	89
Issue number	2
DOIs	https://doi.org/10.1007/s12188-019-00208-5
State	Published - Oct 1 2019

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.1007/s12188-019-00208-5

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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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AU - Sprung, Florian

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AB - 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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KW - Functional equation

KW - Iwasawa invariants

KW - Supersingular reduction

KW - p-adic L-function

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

Abstract

Keywords

ASJC Scopus subject areas

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