On the Sato–Tate conjecture on average for some families of elliptic curves

DOI10.1515/form.2011.141zbMath1325.11056OpenAlexW2331654219WikidataQ123357301 ScholiaQ123357301MaRDI QIDQ2836449

Igor E. Shparlinski

Publication date: 3 July 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.141

zbMATH Keywords

elliptic curvescharacter sumsSato-Tate conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Estimates on character sums (11L40)

Related Items (6)

The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height ⋮ Effective equidistribution and the Sato-Tate law for families of elliptic curves ⋮ Lang–Trotter and Sato–Tate distributions in single and double parametric families of elliptic curves ⋮ On the typical size and cancellations among the coefficients of some modular forms ⋮ The Sato-Tate distribution in thin families of elliptic curves over high degree extensions of finite fields ⋮ The Sato-Tate distribution in thin parametric families of elliptic curves

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