The local root number of elliptic curves with wild ramification

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Let E be an elliptic curve over a number field F. The root number is conjecturally the sign of the functional equation of L-function of E/F. It is defined as the product of local signs over all places of F. The purpose of this paper is to describe this local sign by the coefficients of a Weierstraß equation of E.

Original languageEnglish
Pages (from-to)609-623
Number of pages15
JournalMathematische Annalen
Volume323
Issue number3
DOIs
Publication statusPublished - Dec 1 2002
Externally publishedYes

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Ramification
Elliptic Curves
Roots
L-function
Number field
Functional equation
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

The local root number of elliptic curves with wild ramification. / Kobayashi, Shinichi.

In: Mathematische Annalen, Vol. 323, No. 3, 01.12.2002, p. 609-623.

Research output: Contribution to journalArticle

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