TY - JOUR
T1 - The local root number of elliptic curves with wild ramification
AU - Kobayashi, Shin Ichi
PY - 2002/12/1
Y1 - 2002/12/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s002080200318
DO - 10.1007/s002080200318
M3 - Article
AN - SCOPUS:0036022793
VL - 323
SP - 609
EP - 623
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 3
ER -