期刊论文详细信息
JOURNAL OF NUMBER THEORY 卷:152
Determination of elliptic curves by their adjoint p-adic L-functions
Article
Nastasescu, Maria M.
关键词: L-function;    p-adic L-function;    Elliptic curve;   
DOI  :  10.1016/j.jnt.2014.12.012
来源: Elsevier
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【 摘 要 】

Fix p an odd prime. Let E be an elliptic curve over Q with semistable reduction at p. We show that the adjoint p-adic L-function of E evaluated at infinitely many integers prime to p completely determines up to a quadratic twist the isogeny class of E. To do this, we prove a result on the determination of isobaric representations of GL(3, A(Q)) by certain L-values of p-power twists. (C) 2015 Elsevier Inc. All rights reserved.

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