@article{2276ed4a165c4d72979371f26ad3b18b,
title = "Pair correlation of torsion points on elliptic curves",
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 = "Elliptic curves, Pair correlation, Torsion points",
author = "Emre Alkan and Maosheng Xiong and Alexandru Zaharescu",
note = "Funding Information: E-mail addresses:
[email protected] (E. Alkan),
[email protected] (M. Xiong),
[email protected] (A. Zaharescu). 1 Supported in part by TUBITAK Career Award and Distinguished Young Scholar Award, TUBA-GEBIP of Turkish Academy of Sciences. 2 Supported in part by National Science Foundation Grant DMS-0456615.",
year = "2009",
month = aug,
day = "15",
doi = "10.1016/j.jmaa.2009.03.026",
language = "English (US)",
volume = "356",
pages = "752--763",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}