The Sato–Tate distribution in families of elliptic curves with a rational parameter of bounded height

Min Sha; Igor E. Shparlinski

doi:10.1016/j.indag.2016.07.004

The Sato–Tate distribution in families of elliptic curves with a rational parameter of bounded height

Min Sha^*, Igor E. Shparlinski

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We obtain new results concerning the Sato–Tate conjecture on the distribution of Frobenius angles over parametric families of elliptic curves with a rational parameter of bounded height.

Original language	English
Pages (from-to)	306-320
Number of pages	15
Journal	Indagationes Mathematicae
Volume	28
Issue number	2
DOIs	https://doi.org/10.1016/j.indag.2016.07.004
Publication status	Published - 1 Apr 2017
Externally published	Yes

Keywords

Sato–Tate conjecturesep
Parametric families of elliptic curves

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10.1016/j.indag.2016.07.004

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title = "The Sato–Tate distribution in families of elliptic curves with a rational parameter of bounded height",

abstract = "We obtain new results concerning the Sato–Tate conjecture on the distribution of Frobenius angles over parametric families of elliptic curves with a rational parameter of bounded height.",

keywords = "Sato–Tate conjecturesep, Parametric families of elliptic curves",

author = "Min Sha and Shparlinski, {Igor E.}",

year = "2017",

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language = "English",

volume = "28",

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journal = "Indagationes Mathematicae",

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T1 - The Sato–Tate distribution in families of elliptic curves with a rational parameter of bounded height

AU - Sha, Min

AU - Shparlinski, Igor E.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We obtain new results concerning the Sato–Tate conjecture on the distribution of Frobenius angles over parametric families of elliptic curves with a rational parameter of bounded height.

AB - We obtain new results concerning the Sato–Tate conjecture on the distribution of Frobenius angles over parametric families of elliptic curves with a rational parameter of bounded height.

KW - Sato–Tate conjecturesep

KW - Parametric families of elliptic curves

UR - http://www.scopus.com/inward/record.url?scp=84995543289&partnerID=8YFLogxK

U2 - 10.1016/j.indag.2016.07.004

DO - 10.1016/j.indag.2016.07.004

M3 - Article

AN - SCOPUS:84995543289

SN - 0019-3577

VL - 28

SP - 306

EP - 320

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 2

ER -

The Sato–Tate distribution in families of elliptic curves with a rational parameter of bounded height

Abstract

Keywords

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