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 | |
【 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.
【 授权许可】
Free
【 预 览 】
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10_1016_j_jnt_2014_12_012.pdf | 459KB | download |