The Sato--Tate Distribution in Families of Elliptic Curves with a Rational Parameter of Bounded Height

2015/12/22 by Min Sha, Sha, Min, Igor E. Shparlinski +1
Mathematics · #11G05 #11G20 #14H52 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1512.07301

openalex publication_date 2015/12/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• The Lang-Trotter Conjecture on Average

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