The local root number of elliptic curves with wild ramification

Shin Ichi Kobayashi

doi:10.1007/s002080200318

The local root number of elliptic curves with wild ramification

Shin Ichi Kobayashi

SCI - Mathematics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	609-623
Number of pages	15
Journal	Mathematische Annalen
Volume	323
Issue number	3
DOIs	https://doi.org/10.1007/s002080200318
Publication status	Published - 2002 Dec 1

ASJC Scopus subject areas

Mathematics(all)

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