Pair correlation of torsion points on elliptic curves

Emre Alkan; Maosheng Xiong; Alexandru Zaharescu

doi:10.1016/j.jmaa.2009.03.026

Pair correlation of torsion points on elliptic curves

Emre Alkan, Maosheng Xiong^*, Alexandru Zaharescu

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	752-763
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	356
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.03.026
Publication status	Published - 15 Aug 2009
Externally published	Yes

Keywords

Elliptic curves
Pair correlation
Torsion points

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10.1016/j.jmaa.2009.03.026

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@article{e4eabfcdff2c48e2b8784d2272887406,

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",

year = "2009",

month = aug,

day = "15",

doi = "10.1016/j.jmaa.2009.03.026",

language = "English",

volume = "356",

pages = "752--763",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Pair correlation of torsion points on elliptic curves

AU - Alkan, Emre

AU - Xiong, Maosheng

AU - Zaharescu, Alexandru

PY - 2009/8/15

Y1 - 2009/8/15

N2 - 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.

AB - 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.

KW - Elliptic curves

KW - Pair correlation

KW - Torsion points

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000266339700032

UR - https://openalex.org/W1973131597

UR - https://www.scopus.com/pages/publications/64049106273

U2 - 10.1016/j.jmaa.2009.03.026

DO - 10.1016/j.jmaa.2009.03.026

M3 - Journal Article

SN - 0022-247X

VL - 356

SP - 752

EP - 763

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Pair correlation of torsion points on elliptic curves

Abstract

Keywords

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