|
|||||
|
|
Pair correlation of torsion points on elliptic curves |
|
| Authors: | Emre Alkan Maosheng Xiong Alexandru Zaharescu |
| Affiliation: | a Department of Mathematics, Koc University, Rumelifeneri Yolu, 34450, Sariyer, Istanbul, Turkey b Department of Mathematics, Eberly College of Science, Pennsylvania State University, McAllister Building, University Park, PA 16802, USA c Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, MC-382, 1049 W. Green Street, Urbana, IL 61801-2975, USA |
| Abstract: | We prove the existence of the pair correlation measure associated to torsion points on the real locus E(R) of an elliptic curve E and provide an explicit formula for the limiting pair correlation function. |
| Keywords: | Pair correlation Elliptic curves Torsion points |
| 本文献已被 ScienceDirect 等数据库收录！ | |